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Pythagoras - Wikipedia
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class="vector-toc-link" href="#Alleged_Greek_teachers"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>Alleged Greek teachers</span> </div> </a> <ul id="toc-Alleged_Greek_teachers-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-In_Croton" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_Croton"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>In Croton</span> </div> </a> <ul id="toc-In_Croton-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Family_and_friends" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Family_and_friends"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>Family and friends</span> </div> </a> <ul id="toc-Family_and_friends-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Death" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Death"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.6</span> <span>Death</span> </div> </a> <ul id="toc-Death-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Teachings" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Teachings"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Teachings</span> </div> </a> <button aria-controls="toc-Teachings-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Teachings subsection</span> </button> <ul id="toc-Teachings-sublist" class="vector-toc-list"> <li id="toc-Metempsychosis" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Metempsychosis"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Metempsychosis</span> </div> </a> <ul id="toc-Metempsychosis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mysticism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mysticism"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Mysticism</span> </div> </a> <ul id="toc-Mysticism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Numerology" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Numerology"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.3</span> <span>Numerology</span> </div> </a> <ul id="toc-Numerology-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Pythagoreanism" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Pythagoreanism"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Pythagoreanism</span> </div> </a> <button aria-controls="toc-Pythagoreanism-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Pythagoreanism subsection</span> </button> <ul id="toc-Pythagoreanism-sublist" class="vector-toc-list"> <li id="toc-Communal_lifestyle" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Communal_lifestyle"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Communal lifestyle</span> </div> </a> <ul id="toc-Communal_lifestyle-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Prohibitions_and_regulations" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Prohibitions_and_regulations"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Prohibitions and regulations</span> </div> </a> <ul id="toc-Prohibitions_and_regulations-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Legends" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Legends"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Legends</span> </div> </a> <ul id="toc-Legends-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Attributed_discoveries" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Attributed_discoveries"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Attributed discoveries</span> </div> </a> <button aria-controls="toc-Attributed_discoveries-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Attributed discoveries subsection</span> </button> <ul id="toc-Attributed_discoveries-sublist" class="vector-toc-list"> <li id="toc-In_mathematics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>In mathematics</span> </div> </a> <ul id="toc-In_mathematics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-In_music" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_music"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.2</span> <span>In music</span> </div> </a> <ul id="toc-In_music-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-In_astronomy" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_astronomy"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.3</span> <span>In astronomy</span> </div> </a> <ul id="toc-In_astronomy-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Later_influence_in_antiquity" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Later_influence_in_antiquity"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Later influence in antiquity</span> </div> </a> <button aria-controls="toc-Later_influence_in_antiquity-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Later influence in antiquity subsection</span> </button> <ul id="toc-Later_influence_in_antiquity-sublist" class="vector-toc-list"> <li id="toc-On_Greek_philosophy" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#On_Greek_philosophy"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.1</span> <span>On Greek philosophy</span> </div> </a> <ul id="toc-On_Greek_philosophy-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-On_art_and_architecture" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#On_art_and_architecture"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.2</span> <span>On art and architecture</span> </div> </a> <ul id="toc-On_art_and_architecture-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-In_early_Christianity" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_early_Christianity"> <div class="vector-toc-text"> <span class="vector-toc-numb">7.3</span> <span>In early Christianity</span> </div> </a> <ul id="toc-In_early_Christianity-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Influence_after_antiquity" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Influence_after_antiquity"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Influence after antiquity</span> </div> </a> <button aria-controls="toc-Influence_after_antiquity-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Influence after antiquity subsection</span> </button> <ul id="toc-Influence_after_antiquity-sublist" class="vector-toc-list"> <li id="toc-In_the_Middle_Ages" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#In_the_Middle_Ages"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>In the Middle Ages</span> </div> </a> <ul id="toc-In_the_Middle_Ages-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-On_modern_science" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#On_modern_science"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>On modern science</span> </div> </a> <ul id="toc-On_modern_science-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-On_vegetarianism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#On_vegetarianism"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3</span> <span>On vegetarianism</span> </div> </a> <ul id="toc-On_vegetarianism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-On_Western_esotericism" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#On_Western_esotericism"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.4</span> <span>On Western esotericism</span> </div> </a> <ul id="toc-On_Western_esotericism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-On_literature" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#On_literature"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.5</span> <span>On literature</span> </div> </a> <ul id="toc-On_literature-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Citations" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Citations"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Citations</span> </div> </a> <ul id="toc-Citations-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>References</span> </div> </a> <button aria-controls="toc-References-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle References subsection</span> </button> <ul id="toc-References-sublist" class="vector-toc-list"> <li id="toc-Classical_sources" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Classical_sources"> <div class="vector-toc-text"> <span class="vector-toc-numb">12.1</span> <span>Classical sources</span> </div> </a> <ul id="toc-Classical_sources-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Modern_secondary_sources" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Modern_secondary_sources"> <div class="vector-toc-text"> <span class="vector-toc-numb">12.2</span> <span>Modern secondary sources</span> </div> </a> <ul id="toc-Modern_secondary_sources-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Further_reading" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Further_reading"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>Further reading</span> </div> </a> <ul id="toc-Further_reading-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">14</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Toggle the table of contents" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Toggle the table of contents</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Pythagoras</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 157 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-157" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">157 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Afrikaans" lang="af" hreflang="af" data-title="Pythagoras" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Pythagoras_von_Samos" title="Pythagoras von Samos – Alemannic" lang="gsw" hreflang="gsw" data-title="Pythagoras von Samos" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%8D%93%E1%8B%AD%E1%89%B3%E1%8C%8E%E1%88%A8%E1%88%B5" title="ፓይታጎረስ – Amharic" lang="am" hreflang="am" data-title="ፓይታጎረስ" data-language-autonym="አማርኛ" data-language-local-name="Amharic" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस – Angika" lang="anp" hreflang="anp" data-title="पाइथागोरस" data-language-autonym="अंगिका" data-language-local-name="Angika" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%81%D9%8A%D8%AB%D8%A7%D8%BA%D9%88%D8%B1%D8%B3" title="فيثاغورس – Arabic" lang="ar" hreflang="ar" data-title="فيثاغورس" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Pitagoras" title="Pitagoras – Aragonese" lang="an" hreflang="an" data-title="Pitagoras" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%AA%E0%A6%BE%E0%A6%87%E0%A6%A5%E0%A7%87%E0%A6%97%E0%A6%BE%E0%A7%B0%E0%A6%BE%E0%A6%9B" title="পাইথেগাৰাছ – Assamese" lang="as" hreflang="as" data-title="পাইথেগাৰাছ" data-language-autonym="অসমীয়া" data-language-local-name="Assamese" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Pit%C3%A1gores" title="Pitágores – Asturian" lang="ast" hreflang="ast" data-title="Pitágores" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-awa mw-list-item"><a href="https://awa.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस – Awadhi" lang="awa" hreflang="awa" data-title="पाइथागोरस" data-language-autonym="अवधी" data-language-local-name="Awadhi" class="interlanguage-link-target"><span>अवधी</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Pifaqor" title="Pifaqor – Azerbaijani" lang="az" hreflang="az" data-title="Pifaqor" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%81%DB%8C%D8%AB%D8%A7%D8%BA%D9%88%D8%B1%D8%B3" title="فیثاغورس – South Azerbaijani" lang="azb" hreflang="azb" data-title="فیثاغورس" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ban mw-list-item"><a href="https://ban.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Balinese" lang="ban" hreflang="ban" data-title="Pythagoras" data-language-autonym="Basa Bali" data-language-local-name="Balinese" class="interlanguage-link-target"><span>Basa Bali</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AA%E0%A6%BF%E0%A6%A5%E0%A6%BE%E0%A6%97%E0%A7%8B%E0%A6%B0%E0%A6%BE%E0%A6%B8" title="পিথাগোরাস – Bangla" lang="bn" hreflang="bn" data-title="পিথাগোরাস" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Minnan" lang="nan" hreflang="nan" data-title="Pythagoras" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Bashkir" lang="ba" hreflang="ba" data-title="Пифагор" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9F%D1%96%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Піфагор – Belarusian" lang="be" hreflang="be" data-title="Піфагор" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9F%D1%96%D1%82%D0%B0%D0%B3%D0%BE%D1%80" title="Пітагор – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Пітагор" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस – Bhojpuri" lang="bh" hreflang="bh" data-title="पाइथागोरस" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Central Bikol" lang="bcl" hreflang="bcl" data-title="Pythagoras" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Bislama" lang="bi" hreflang="bi" data-title="Pythagoras" data-language-autonym="Bislama" data-language-local-name="Bislama" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9F%D0%B8%D1%82%D0%B0%D0%B3%D0%BE%D1%80" title="Питагор – Bulgarian" lang="bg" hreflang="bg" data-title="Питагор" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%95%E0%BD%A0%E0%BD%BA%E0%BC%8B%E0%BD%90%E0%BC%8B%E0%BD%82%E0%BE%B7%E0%BD%BC%E0%BC%8B%E0%BD%A2%E0%BC%8B%E0%BD%9F%E0%BD%B2%E0%BC%8D" title="ཕའེ་ཐ་གྷོ་ར་ཟི། – Tibetan" lang="bo" hreflang="bo" data-title="ཕའེ་ཐ་གྷོ་ར་ཟི།" data-language-autonym="བོད་ཡིག" data-language-local-name="Tibetan" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Pitagora" title="Pitagora – Bosnian" lang="bs" hreflang="bs" data-title="Pitagora" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Breton" lang="br" hreflang="br" data-title="Pythagoras" data-language-autonym="Brezhoneg" data-language-local-name="Breton" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Pit%C3%A0gores" title="Pitàgores – Catalan" lang="ca" hreflang="ca" data-title="Pitàgores" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Chuvash" lang="cv" hreflang="cv" data-title="Пифагор" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Czech" lang="cs" hreflang="cs" data-title="Pythagoras" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Pitagoru" title="Pitagoru – Corsican" lang="co" hreflang="co" data-title="Pitagoru" data-language-autonym="Corsu" data-language-local-name="Corsican" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Welsh" lang="cy" hreflang="cy" data-title="Pythagoras" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Danish" lang="da" hreflang="da" data-title="Pythagoras" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%BE%D9%8A%D8%B7%D8%A7%DD%A3%D9%88%D8%B1%D8%A7%D8%B3" title="پيطاݣوراس – Moroccan Arabic" lang="ary" hreflang="ary" data-title="پيطاݣوراس" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://de.wikipedia.org/wiki/Pythagoras" title="Pythagoras – German" lang="de" hreflang="de" data-title="Pythagoras" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Estonian" lang="et" hreflang="et" data-title="Pythagoras" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A0%CF%85%CE%B8%CE%B1%CE%B3%CF%8C%CF%81%CE%B1%CF%82" title="Πυθαγόρας – Greek" lang="el" hreflang="el" data-title="Πυθαγόρας" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Erzya" lang="myv" hreflang="myv" data-title="Пифагор" data-language-autonym="Эрзянь" data-language-local-name="Erzya" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Pit%C3%A1goras" title="Pitágoras – Spanish" lang="es" hreflang="es" data-title="Pitágoras" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Pitagoro" title="Pitagoro – Esperanto" lang="eo" hreflang="eo" data-title="Pitagoro" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Pit%C3%A1gora" title="Pitágora – Extremaduran" lang="ext" hreflang="ext" data-title="Pitágora" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Pitagoras" title="Pitagoras – Basque" lang="eu" hreflang="eu" data-title="Pitagoras" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%81%DB%8C%D8%AB%D8%A7%D8%BA%D9%88%D8%B1%D8%B3" title="فیثاغورس – Persian" lang="fa" hreflang="fa" data-title="فیثاغورس" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Pythagore" title="Pythagore – French" lang="fr" hreflang="fr" data-title="Pythagore" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Pytagoras" title="Pytagoras – Western Frisian" lang="fy" hreflang="fy" data-title="Pytagoras" data-language-autonym="Frysk" data-language-local-name="Western Frisian" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/P%C3%ADot%C3%A1gar%C3%A1s" title="Píotágarás – Irish" lang="ga" hreflang="ga" data-title="Píotágarás" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Pythag%C3%B3ras" title="Pythagóras – Scottish Gaelic" lang="gd" hreflang="gd" data-title="Pythagóras" data-language-autonym="Gàidhlig" data-language-local-name="Scottish Gaelic" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Pit%C3%A1goras" title="Pitágoras – Galician" lang="gl" hreflang="gl" data-title="Pitágoras" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E7%95%A2%E9%81%94%E5%93%A5%E6%8B%89%E6%96%AF" title="畢達哥拉斯 – Gan" lang="gan" hreflang="gan" data-title="畢達哥拉斯" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%AA%E0%AA%BE%E0%AA%AF%E0%AA%A5%E0%AA%BE%E0%AA%97%E0%AB%8B%E0%AA%B0%E0%AA%B8" title="પાયથાગોરસ – Gujarati" lang="gu" hreflang="gu" data-title="પાયથાગોરસ" data-language-autonym="ગુજરાતી" data-language-local-name="Gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Hakka Chinese" lang="hak" hreflang="hak" data-title="Pythagoras" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="Hakka Chinese" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Kalmyk" lang="xal" hreflang="xal" data-title="Пифагор" data-language-autonym="Хальмг" data-language-local-name="Kalmyk" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%BC%ED%83%80%EA%B3%A0%EB%9D%BC%EC%8A%A4" title="피타고라스 – Korean" lang="ko" hreflang="ko" data-title="피타고라스" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Hausa" lang="ha" hreflang="ha" data-title="Pythagoras" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8A%D5%B5%D5%B8%D6%82%D5%A9%D5%A1%D5%A3%D5%B8%D6%80%D5%A1%D5%BD" title="Պյութագորաս – Armenian" lang="hy" hreflang="hy" data-title="Պյութագորաս" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस – Hindi" lang="hi" hreflang="hi" data-title="पाइथागोरस" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Pitagora" title="Pitagora – Croatian" lang="hr" hreflang="hr" data-title="Pitagora" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Pitagoro" title="Pitagoro – Ido" lang="io" hreflang="io" data-title="Pitagoro" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-bpy mw-list-item"><a href="https://bpy.wikipedia.org/wiki/%E0%A6%AA%E0%A6%BF%E0%A6%A5%E0%A6%BE%E0%A6%97%E0%A7%8B%E0%A6%B0%E0%A6%BE%E0%A6%B8" title="পিথাগোরাস – Bishnupriya" lang="bpy" hreflang="bpy" data-title="পিথাগোরাস" data-language-autonym="বিষ্ণুপ্রিয়া মণিপুরী" data-language-local-name="Bishnupriya" class="interlanguage-link-target"><span>বিষ্ণুপ্রিয়া মণিপুরী</span></a></li><li class="interlanguage-link interwiki-id badge-Q17437796 badge-featuredarticle mw-list-item" title="featured article badge"><a href="https://id.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Indonesian" lang="id" hreflang="id" data-title="Pythagoras" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Interlingua" lang="ia" hreflang="ia" data-title="Pythagoras" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Ossetic" lang="os" hreflang="os" data-title="Пифагор" data-language-autonym="Ирон" data-language-local-name="Ossetic" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/P%C3%BD%C3%BEag%C3%B3ras" title="Pýþagóras – Icelandic" lang="is" hreflang="is" data-title="Pýþagóras" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Pitagora" title="Pitagora – Italian" lang="it" hreflang="it" data-title="Pitagora" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%99%D7%AA%D7%92%D7%95%D7%A8%D7%A1" title="פיתגורס – Hebrew" lang="he" hreflang="he" data-title="פיתגורס" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Javanese" lang="jv" hreflang="jv" data-title="Pythagoras" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/Pythagorus" title="Pythagorus – Kabiye" lang="kbp" hreflang="kbp" data-title="Pythagorus" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AA%E0%B3%88%E0%B2%A5%E0%B2%BE%E0%B2%97%E0%B2%B0%E0%B2%B8%E0%B3%8D" title="ಪೈಥಾಗರಸ್ – Kannada" lang="kn" hreflang="kn" data-title="ಪೈಥಾಗರಸ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-pam badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://pam.wikipedia.org/wiki/Pitagoras" title="Pitagoras – Pampanga" lang="pam" hreflang="pam" data-title="Pitagoras" data-language-autonym="Kapampangan" data-language-local-name="Pampanga" class="interlanguage-link-target"><span>Kapampangan</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9E%E1%83%98%E1%83%97%E1%83%90%E1%83%92%E1%83%9D%E1%83%A0%E1%83%90" title="პითაგორა – Georgian" lang="ka" hreflang="ka" data-title="პითაგორა" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Kazakh" lang="kk" hreflang="kk" data-title="Пифагор" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Cornish" lang="kw" hreflang="kw" data-title="Pythagoras" data-language-autonym="Kernowek" data-language-local-name="Cornish" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Swahili" lang="sw" hreflang="sw" data-title="Pythagoras" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Pythagore" title="Pythagore – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Pythagore" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/P%C3%AEtagoras" title="Pîtagoras – Kurdish" lang="ku" hreflang="ku" data-title="Pîtagoras" data-language-autonym="Kurdî" data-language-local-name="Kurdish" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Kyrgyz" lang="ky" hreflang="ky" data-title="Пифагор" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-mrj mw-list-item"><a href="https://mrj.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80_(%D1%84%D0%B8%D0%BB%D0%BE%D1%81%D0%BE%D1%84)" title="Пифагор (философ) – Western Mari" lang="mrj" hreflang="mrj" data-title="Пифагор (философ)" data-language-autonym="Кырык мары" data-language-local-name="Western Mari" class="interlanguage-link-target"><span>Кырык мары</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Latin" lang="la" hreflang="la" data-title="Pythagoras" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Pitagors" title="Pitagors – Latvian" lang="lv" hreflang="lv" data-title="Pitagors" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Pythagoras_vu_Samos" title="Pythagoras vu Samos – Luxembourgish" lang="lb" hreflang="lb" data-title="Pythagoras vu Samos" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luxembourgish" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Pitagoras" title="Pitagoras – Lithuanian" lang="lt" hreflang="lt" data-title="Pitagoras" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Pitagora" title="Pitagora – Ligurian" lang="lij" hreflang="lij" data-title="Pitagora" data-language-autonym="Ligure" data-language-local-name="Ligurian" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Limburgish" lang="li" hreflang="li" data-title="Pythagoras" data-language-autonym="Limburgs" data-language-local-name="Limburgish" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Pitagora" title="Pitagora – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Pitagora" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Payisoggolaasi" title="Payisoggolaasi – Ganda" lang="lg" hreflang="lg" data-title="Payisoggolaasi" data-language-autonym="Luganda" data-language-local-name="Ganda" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/P%C3%BCthagorasz" title="Püthagorasz – Hungarian" lang="hu" hreflang="hu" data-title="Püthagorasz" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस – Maithili" lang="mai" hreflang="mai" data-title="पाइथागोरस" data-language-autonym="मैथिली" data-language-local-name="Maithili" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9F%D0%B8%D1%82%D0%B0%D0%B3%D0%BE%D1%80%D0%B0" title="Питагора – Macedonian" lang="mk" hreflang="mk" data-title="Питагора" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Pitag%C3%B4ra" title="Pitagôra – Malagasy" lang="mg" hreflang="mg" data-title="Pitagôra" data-language-autonym="Malagasy" data-language-local-name="Malagasy" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AA%E0%B5%88%E0%B4%A4%E0%B4%97%E0%B5%8B%E0%B4%B1%E0%B4%B8%E0%B5%8D" title="പൈതഗോറസ് – Malayalam" lang="ml" hreflang="ml" data-title="പൈതഗോറസ്" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Pitagora" title="Pitagora – Maltese" lang="mt" hreflang="mt" data-title="Pitagora" data-language-autonym="Malti" data-language-local-name="Maltese" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%AF%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पायथागोरस – Marathi" lang="mr" hreflang="mr" data-title="पायथागोरस" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9E%E1%83%98%E1%83%97%E1%83%90%E1%83%92%E1%83%9D%E1%83%A0%E1%83%90" title="პითაგორა – Mingrelian" lang="xmf" hreflang="xmf" data-title="პითაგორა" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%A8%D9%8A%D8%AB%D8%A7%D8%AC%D9%88%D8%B1%D8%A7%D8%B3" title="بيثاجوراس – Egyptian Arabic" lang="arz" hreflang="arz" data-title="بيثاجوراس" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D9%BE%DB%8C%D8%AA%D8%A7%DA%AF%D9%88%D8%B1%D8%A7%D8%B3" title="پیتاگوراس – Mazanderani" lang="mzn" hreflang="mzn" data-title="پیتاگوراس" data-language-autonym="مازِرونی" data-language-local-name="Mazanderani" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Malay" lang="ms" hreflang="ms" data-title="Pythagoras" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Pit%C3%A1goras" title="Pitágoras – Mirandese" lang="mwl" hreflang="mwl" data-title="Pitágoras" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Mongolian" lang="mn" hreflang="mn" data-title="Пифагор" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%95%E1%80%AD%E1%80%AF%E1%80%80%E1%80%BA%E1%80%9E%E1%80%AC%E1%80%82%E1%80%AD%E1%80%AF%E1%80%B8%E1%80%9B%E1%80%95%E1%80%BA%E1%80%85%E1%80%BA" title="ပိုက်သာဂိုးရပ်စ် – Burmese" lang="my" hreflang="my" data-title="ပိုက်သာဂိုးရပ်စ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Dutch" lang="nl" hreflang="nl" data-title="Pythagoras" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BE%E0%A4%87%E0%A4%A5%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%B8" title="पाइथागोरस – Nepali" lang="ne" hreflang="ne" data-title="पाइथागोरस" data-language-autonym="नेपाली" data-language-local-name="Nepali" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%94%E3%82%BF%E3%82%B4%E3%83%A9%E3%82%B9" title="ピタゴラス – Japanese" lang="ja" hreflang="ja" data-title="ピタゴラス" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-nqo mw-list-item"><a href="https://nqo.wikipedia.org/wiki/%DF%94%DF%8C%DF%95%DF%8A%DF%9C%DF%AD%DF%90%DF%99" title="ߔߌߕߊߜ߭ߐߙ – N’Ko" lang="nqo" hreflang="nqo" data-title="ߔߌߕߊߜ߭ߐߙ" data-language-autonym="ߒߞߏ" data-language-local-name="N’Ko" class="interlanguage-link-target"><span>ߒߞߏ</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Northern Frisian" lang="frr" hreflang="frr" data-title="Pythagoras" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Pytagoras" title="Pytagoras – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Pytagoras" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Pytagoras" title="Pytagoras – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Pytagoras" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Pitag%C3%B2ras" title="Pitagòras – Occitan" lang="oc" hreflang="oc" data-title="Pitagòras" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Paayitaagoras" title="Paayitaagoras – Oromo" lang="om" hreflang="om" data-title="Paayitaagoras" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Pifagor" title="Pifagor – Uzbek" lang="uz" hreflang="uz" data-title="Pifagor" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AA%E0%A8%BE%E0%A8%88%E0%A8%A5%E0%A8%BE%E0%A8%97%E0%A9%8B%E0%A8%B0%E0%A8%B8" title="ਪਾਈਥਾਗੋਰਸ – Punjabi" lang="pa" hreflang="pa" data-title="ਪਾਈਥਾਗੋਰਸ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%81%D9%8A%D8%AB%D8%A7%D8%BA%D9%88%D8%B1%D8%AB" title="فيثاغورث – Western Punjabi" lang="pnb" hreflang="pnb" data-title="فيثاغورث" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D9%BE%D9%8A%D8%AA%D8%A7%DA%AB%D9%88%D8%B1%D8%B3" title="پيتاګورس – Pashto" lang="ps" hreflang="ps" data-title="پيتاګورس" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Pythagoras" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Pit%C3%A0gora" title="Pitàgora – Piedmontese" lang="pms" hreflang="pms" data-title="Pitàgora" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Pitagoras" title="Pitagoras – Polish" lang="pl" hreflang="pl" data-title="Pitagoras" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Pit%C3%A1goras" title="Pitágoras – Portuguese" lang="pt" hreflang="pt" data-title="Pitágoras" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Pifagor" title="Pifagor – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Pifagor" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Pitagora" title="Pitagora – Romanian" lang="ro" hreflang="ro" data-title="Pitagora" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Pithaquras" title="Pithaquras – Quechua" lang="qu" hreflang="qu" data-title="Pithaquras" data-language-autonym="Runa Simi" data-language-local-name="Quechua" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Russian" lang="ru" hreflang="ru" data-title="Пифагор" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Yakut" lang="sah" hreflang="sah" data-title="Пифагор" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%AA%E0%A4%BF%E0%A4%A4%E0%A4%BE%E0%A4%97%E0%A5%8B%E0%A4%B0%E0%A4%83_(%E0%A4%AF%E0%A4%B5%E0%A4%A8%E0%A4%A6%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%B6%E0%A4%A8%E0%A4%BF%E0%A4%95%E0%A4%83)" title="पितागोरः (यवनदार्शनिकः) – Sanskrit" lang="sa" hreflang="sa" data-title="पितागोरः (यवनदार्शनिकः)" data-language-autonym="संस्कृतम्" data-language-local-name="Sanskrit" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-skr mw-list-item"><a href="https://skr.wikipedia.org/wiki/%D9%81%DB%8C%D8%AB%D8%A7%D8%BA%D9%88%D8%B1%D8%AB" title="فیثاغورث – Saraiki" lang="skr" hreflang="skr" data-title="فیثاغورث" data-language-autonym="سرائیکی" data-language-local-name="Saraiki" class="interlanguage-link-target"><span>سرائیکی</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Scots" lang="sco" hreflang="sco" data-title="Pythagoras" data-language-autonym="Scots" data-language-local-name="Scots" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Pitagora" title="Pitagora – Albanian" lang="sq" hreflang="sq" data-title="Pitagora" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Pit%C3%A0gura" title="Pitàgura – Sicilian" lang="scn" hreflang="scn" data-title="Pitàgura" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%B4%E0%B6%BA%E0%B7%92%E0%B6%AD%E0%B6%9C%E0%B6%BB%E0%B7%83%E0%B7%8A" title="පයිතගරස් – Sinhala" lang="si" hreflang="si" data-title="පයිතගරස්" data-language-autonym="සිංහල" data-language-local-name="Sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Simple English" lang="en-simple" hreflang="en-simple" data-title="Pythagoras" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D9%BE%D8%A6%D9%BF%D8%A7%DA%AF%D9%88%D8%B1%D8%B3" title="پئٿاگورس – Sindhi" lang="sd" hreflang="sd" data-title="پئٿاگورس" data-language-autonym="سنڌي" data-language-local-name="Sindhi" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Pytagoras_zo_Samosu" title="Pytagoras zo Samosu – Slovak" lang="sk" hreflang="sk" data-title="Pytagoras zo Samosu" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Pitagora" title="Pitagora – Slovenian" lang="sl" hreflang="sl" data-title="Pitagora" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Pitagoras" title="Pitagoras – Silesian" lang="szl" hreflang="szl" data-title="Pitagoras" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%BE%DB%8C%D8%AA%D8%A7%DA%AF%DB%86%D8%B1%D8%B3" title="پیتاگۆرس – Central Kurdish" lang="ckb" hreflang="ckb" data-title="پیتاگۆرس" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9F%D0%B8%D1%82%D0%B0%D0%B3%D0%BE%D1%80%D0%B0" title="Питагора – Serbian" lang="sr" hreflang="sr" data-title="Питагора" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Pitagora" title="Pitagora – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Pitagora" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Sundanese" lang="su" hreflang="su" data-title="Pythagoras" data-language-autonym="Sunda" data-language-local-name="Sundanese" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Finnish" lang="fi" hreflang="fi" data-title="Pythagoras" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Swedish" lang="sv" hreflang="sv" data-title="Pythagoras" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Tagalog" lang="tl" hreflang="tl" data-title="Pythagoras" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BF%E0%AE%A4%E0%AF%8D%E0%AE%A4%E0%AE%BE%E0%AE%95%E0%AE%B0%E0%AE%9A%E0%AF%81" title="பித்தாகரசு – Tamil" lang="ta" hreflang="ta" data-title="பித்தாகரசு" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Pitaguras" title="Pitaguras – Tachelhit" lang="shi" hreflang="shi" data-title="Pitaguras" data-language-autonym="Taclḥit" data-language-local-name="Tachelhit" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9F%D0%B8%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Пифагор – Tatar" lang="tt" hreflang="tt" data-title="Пифагор" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AA%E0%B1%88%E0%B0%A5%E0%B0%BE%E0%B0%97%E0%B0%B0%E0%B0%B8%E0%B1%8D" title="పైథాగరస్ – Telugu" lang="te" hreflang="te" data-title="పైథాగరస్" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9E%E0%B8%B5%E0%B8%97%E0%B8%B2%E0%B9%82%E0%B8%81%E0%B8%A3%E0%B8%B1%E0%B8%AA" title="พีทาโกรัส – Thai" lang="th" hreflang="th" data-title="พีทาโกรัส" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A4%D0%B8%D1%81%D0%BE%D2%93%D1%83%D1%80%D0%B8%D1%81" title="Фисоғурис – Tajik" lang="tg" hreflang="tg" data-title="Фисоғурис" data-language-autonym="Тоҷикӣ" data-language-local-name="Tajik" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Pisagor" title="Pisagor – Turkish" lang="tr" hreflang="tr" data-title="Pisagor" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Pifagor" title="Pifagor – Turkmen" lang="tk" hreflang="tk" data-title="Pifagor" data-language-autonym="Türkmençe" data-language-local-name="Turkmen" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9F%D1%96%D1%84%D0%B0%D0%B3%D0%BE%D1%80" title="Піфагор – Ukrainian" lang="uk" hreflang="uk" data-title="Піфагор" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%81%DB%8C%D8%AB%D8%A7%D8%BA%D9%88%D8%B1%D8%AB" title="فیثاغورث – Urdu" lang="ur" hreflang="ur" data-title="فیثاغورث" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Vietnamese" lang="vi" hreflang="vi" data-title="Pythagoras" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vo mw-list-item"><a href="https://vo.wikipedia.org/wiki/P%C3%BCthagoras" title="Püthagoras – Volapük" lang="vo" hreflang="vo" data-title="Püthagoras" data-language-autonym="Volapük" data-language-local-name="Volapük" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Võro" lang="vro" hreflang="vro" data-title="Pythagoras" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Waray" lang="war" hreflang="war" data-title="Pythagoras" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%AF%95%E8%BE%BE%E5%93%A5%E6%8B%89%E6%96%AF" title="毕达哥拉斯 – Wu" lang="wuu" hreflang="wuu" data-title="毕达哥拉斯" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%A4%D7%99%D7%98%D7%90%D7%92%D7%90%D7%A8%D7%90%D7%A1" title="פיטאגאראס – Yiddish" lang="yi" hreflang="yi" data-title="פיטאגאראס" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/Pythagoras" title="Pythagoras – Yoruba" lang="yo" hreflang="yo" data-title="Pythagoras" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E7%95%A2%E9%81%94%E5%93%A5%E6%8B%89%E6%96%AF" title="畢達哥拉斯 – Cantonese" lang="yue" hreflang="yue" data-title="畢達哥拉斯" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Pisagor" title="Pisagor – Zazaki" lang="diq" hreflang="diq" data-title="Pisagor" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/P%C4%97taguors" title="Pėtaguors – Samogitian" lang="sgs" hreflang="sgs" data-title="Pėtaguors" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%AF%95%E8%BE%BE%E5%93%A5%E6%8B%89%E6%96%AF" title="毕达哥拉斯 – Chinese" lang="zh" hreflang="zh" data-title="毕达哥拉斯" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q10261#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div 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For the Samian statuary, see <a href="/wiki/Pythagoras_(sculptor)" title="Pythagoras (sculptor)">Pythagoras (sculptor)</a>.</div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">For other uses, see <a href="/wiki/Pythagoras_(disambiguation)" class="mw-disambig" title="Pythagoras (disambiguation)">Pythagoras (disambiguation)</a>.</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Pythagoras</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Pythagoras_in_the_Roman_Forum,_Colosseum.jpg" class="mw-file-description"><img alt="Marble bust of a man with a long, pointed beard, wearing a tainia, a kind of ancient Greek headcovering in this case resembling a turban. The face is somewhat gaunt and has prominent, but thin, eyebrows, which seem halfway fixed into a scowl. The ends of his mustache are long a trail halfway down the length of his beard to about where the bottom of his chin would be if we could see it. None of the hair on his head is visible, since it is completely covered by the tainia." src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Pythagoras_in_the_Roman_Forum%2C_Colosseum.jpg/220px-Pythagoras_in_the_Roman_Forum%2C_Colosseum.jpg" decoding="async" width="220" height="318" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Pythagoras_in_the_Roman_Forum%2C_Colosseum.jpg/330px-Pythagoras_in_the_Roman_Forum%2C_Colosseum.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e0/Pythagoras_in_the_Roman_Forum%2C_Colosseum.jpg/440px-Pythagoras_in_the_Roman_Forum%2C_Colosseum.jpg 2x" data-file-width="2862" data-file-height="4140" /></a></span><div class="infobox-caption">Bust of Pythagoras of Samos in the<br /><a href="/wiki/Capitoline_Museums" title="Capitoline Museums">Capitoline Museums</a>, <a href="/wiki/Rome" title="Rome">Rome</a><sup id="cite_ref-FOOTNOTEJoost-Gaugier2006143_1-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006143-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span title="circa">c.</span><span style="white-space:nowrap;"> 570</span> BC<br /><div style="display:inline" class="birthplace"><a href="/wiki/Samos" title="Samos">Samos</a></div></td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data"><span title="circa">c.</span><span style="white-space:nowrap;"> 495</span> BC (aged around 75)<br /><div style="display:inline" class="deathplace">either <a href="/wiki/Crotone" title="Crotone">Croton</a> or <a href="/wiki/Metapontum" title="Metapontum">Metapontum</a></div></td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></td></tr><tr><th scope="row" class="infobox-label">Era</th><td class="infobox-data category"><a href="/wiki/Pre-Socratic_philosophy" title="Pre-Socratic philosophy">Pre-Socratic philosophy</a></td></tr><tr><th scope="row" class="infobox-label">Region</th><td class="infobox-data category"><a href="/wiki/Western_philosophy" title="Western philosophy">Western philosophy</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/List_of_schools_of_philosophy" class="mw-redirect" title="List of schools of philosophy">School</a></th><td class="infobox-data category"><a href="/wiki/Pythagoreanism" title="Pythagoreanism">Pythagoreanism</a></td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Main interests</div></th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"><ul><li><a href="/wiki/Ethics" title="Ethics">Ethics</a></li><li><a href="/wiki/Mathematics" title="Mathematics">Mathematics</a></li><li><a href="/wiki/Metaphysics" title="Metaphysics">Metaphysics</a></li><li><a href="/wiki/Music_theory" title="Music theory">Music theory</a></li><li><a href="/wiki/Mysticism" title="Mysticism">Mysticism</a></li><li><a href="/wiki/Politics" title="Politics">Politics</a></li><li><a href="/wiki/Religion" title="Religion">Religion</a></li></ul></div></td></tr><tr class="note"><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Notable ideas</div></th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"><ul><li><a href="/wiki/Intentional_community" title="Intentional community">Communalism</a></li><li><a href="/wiki/Metempsychosis" title="Metempsychosis">Metempsychosis</a></li><li><i><a href="/wiki/Musica_universalis" title="Musica universalis">Musica universalis</a></i></li></ul></div><br />Attributed ideas: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"><div class="plainlist"><ul><li><a href="/wiki/Geographical_zone" title="Geographical zone">Five climatic zones</a></li><li><a href="/wiki/Platonic_solids" class="mw-redirect" title="Platonic solids">Five regular solids</a></li><li><a href="/wiki/Proportionality_(mathematics)" title="Proportionality (mathematics)">Proportions</a></li><li><a href="/wiki/Pythagorean_theorem" title="Pythagorean theorem">Pythagorean theorem</a></li><li><a href="/wiki/Pythagorean_tuning" title="Pythagorean tuning">Pythagorean tuning</a></li><li><a href="/wiki/Spherical_Earth" title="Spherical Earth">Sphericity of the Earth</a></li><li><a href="/wiki/Vegetarianism" title="Vegetarianism">Vegetarianism</a></li></ul></div></td></tr><tr style="display:none"><td colspan="2"> </td></tr></tbody></table> <p><b>Pythagoras of Samos</b><sup id="cite_ref-spelling_2-0" class="reference"><a href="#cite_note-spelling-2"><span class="cite-bracket">[</span>a<span class="cite-bracket">]</span></a></sup> (<a href="/wiki/Ancient_Greek_language" class="mw-redirect" title="Ancient Greek language">Ancient Greek</a>: <span lang="grc">Πυθαγόρας</span>; <a href="https://en.wiktionary.org/wiki/circa#English" class="extiw" title="wikt:circa">c.</a><span style="white-space:nowrap;"> 570</span> – c.<span style="white-space:nowrap;"> 495</span> BC)<sup id="cite_ref-date_3-0" class="reference"><a href="#cite_note-date-3"><span class="cite-bracket">[</span>b<span class="cite-bracket">]</span></a></sup> was an ancient <a href="/wiki/Ionians" title="Ionians">Ionian</a> <a href="/wiki/Ancient_Greek_philosophy" title="Ancient Greek philosophy">Greek philosopher</a>, <a href="/wiki/Polymath" title="Polymath">polymath</a>, and the eponymous founder of <a href="/wiki/Pythagoreanism" title="Pythagoreanism">Pythagoreanism</a>. His political and religious teachings were well known in <a href="/wiki/Magna_Graecia" title="Magna Graecia">Magna Graecia</a> and influenced the philosophies of <a href="/wiki/Plato" title="Plato">Plato</a>, <a href="/wiki/Aristotle" title="Aristotle">Aristotle</a>, and, through them, the <a href="/wiki/Western_philosophy" title="Western philosophy">West</a> in general. Knowledge of his life is clouded by legend; modern scholars disagree regarding Pythagoras's education and influences, but they do agree that, around 530 BC, he travelled to <a href="/wiki/Crotone" title="Crotone">Croton</a> in southern Italy, where he founded a school in which initiates were sworn to secrecy and lived a communal, <a href="/wiki/Asceticism" title="Asceticism">ascetic</a> lifestyle. </p><p>In antiquity, Pythagoras was credited with many mathematical and scientific discoveries, including the <a href="/wiki/Pythagorean_theorem" title="Pythagorean theorem">Pythagorean theorem</a>, <a href="/wiki/Pythagorean_tuning" title="Pythagorean tuning">Pythagorean tuning</a>, the <a href="/wiki/Platonic_solids" class="mw-redirect" title="Platonic solids">five regular solids</a>, the <a href="/wiki/Proportionality_(mathematics)" title="Proportionality (mathematics)">Theory of Proportions</a>, the <a href="/wiki/Spherical_Earth" title="Spherical Earth">sphericity of the Earth</a>, and the identity of the <a href="/wiki/Phosphorus_(morning_star)" title="Phosphorus (morning star)">morning</a> and <a href="/wiki/Hesperus" title="Hesperus">evening stars</a> as the planet <a href="/wiki/Venus" title="Venus">Venus</a>. It was said that he was the first man to call himself a philosopher ("lover of wisdom")<sup id="cite_ref-philosopher_4-0" class="reference"><a href="#cite_note-philosopher-4"><span class="cite-bracket">[</span>c<span class="cite-bracket">]</span></a></sup> and that he was the first to divide the globe into <a href="/wiki/Geographical_zone" title="Geographical zone">five climatic zones</a>. Classical historians debate whether Pythagoras made these discoveries, and many of the accomplishments credited to him likely originated earlier or were made by his colleagues or successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were important, but it is debated to what extent, if at all, he actually contributed to mathematics or <a href="/wiki/Natural_philosophy" title="Natural philosophy">natural philosophy</a>. </p><p>The teaching most securely identified with Pythagoras is the "transmigration of souls" or <i><a href="/wiki/Metempsychosis" title="Metempsychosis">metempsychosis</a></i>, which holds that every <a href="/wiki/Soul" title="Soul">soul</a> is <a href="/wiki/Immortality" title="Immortality">immortal</a> and, upon death, <a href="/wiki/Reincarnation" title="Reincarnation">enters into a new body</a>. He may have also devised the doctrine of <i><a href="/wiki/Musica_universalis" title="Musica universalis">musica universalis</a></i>, which holds that the <a href="/wiki/Classical_planet" title="Classical planet">planets</a> move according to <a href="/wiki/Mathematics" title="Mathematics">mathematical</a> <a href="/wiki/Equation" title="Equation">equations</a> and thus resonate to produce an inaudible symphony of music. Scholars debate whether Pythagoras developed the <a href="/wiki/Numerology" title="Numerology">numerological</a> and musical teachings attributed to him, or if those teachings were developed by his later followers, particularly <a href="/wiki/Philolaus" title="Philolaus">Philolaus of Croton</a>. Following Croton's decisive victory over <a href="/wiki/Sybaris" title="Sybaris">Sybaris</a> in around 510 BC, Pythagoras's followers came into conflict with supporters of <a href="/wiki/Greek_democracy" title="Greek democracy">democracy</a>, and Pythagorean meeting houses were burned. Pythagoras may have been killed during this persecution, or he may have escaped to <a href="/wiki/Metapontum" title="Metapontum">Metapontum</a> and died there. </p><p>Pythagoras influenced Plato, whose <a href="/wiki/Socratic_dialogue" title="Socratic dialogue">dialogues</a>, especially his <i><a href="/wiki/Timaeus_(dialogue)" title="Timaeus (dialogue)">Timaeus</a></i>, exhibit Pythagorean teachings. Pythagorean ideas on mathematical perfection also impacted <a href="/wiki/Ancient_Greek_art" title="Ancient Greek art">ancient Greek art</a>. His teachings underwent a major revival in the first century BC among <a href="/wiki/Middle_Platonism" title="Middle Platonism">Middle Platonists</a>, coinciding with the rise of <a href="/wiki/Neopythagoreanism" title="Neopythagoreanism">Neopythagoreanism</a>. Pythagoras continued to be regarded as a great philosopher throughout the <a href="/wiki/Middle_Ages" title="Middle Ages">Middle Ages</a> and his philosophy had a major impact on scientists such as <a href="/wiki/Nicolaus_Copernicus" title="Nicolaus Copernicus">Nicolaus Copernicus</a>, <a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Johannes Kepler</a>, and <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a>. Pythagorean symbolism was also used throughout early modern <a href="/wiki/Western_esotericism" title="Western esotericism">European esotericism</a>, and his teachings as portrayed in <a href="/wiki/Ovid" title="Ovid">Ovid</a>'s <i><a href="/wiki/Metamorphoses" title="Metamorphoses">Metamorphoses</a></i> would later influence the modern vegetarian movement. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biographical_sources">Biographical sources</h2></div> <p>No authentic writings of Pythagoras have survived,<sup id="cite_ref-FOOTNOTEJoost-Gaugier200611_5-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200611-5"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECelenza2010796_6-0" class="reference"><a href="#cite_note-FOOTNOTECelenza2010796-6"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson20084_7-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson20084-7"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> and almost nothing is known for certain about his life.<sup id="cite_ref-FOOTNOTEFerguson20083–5_8-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson20083–5-8"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201521–23_9-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201521–23-9"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECopleston200329_10-0" class="reference"><a href="#cite_note-FOOTNOTECopleston200329-10"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> The earliest sources on Pythagoras's life are brief, ambiguous, and often <a href="/wiki/Satire" title="Satire">satirical</a>.<sup id="cite_ref-FOOTNOTEFerguson20084_7-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson20084-7"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20012_11-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20012-11"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBurkert1985299_12-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1985299-12"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> The earliest source on Pythagoras's teachings is a satirical poem probably written after his death by the Greek philosopher <a href="/wiki/Xenophanes_of_Colophon" class="mw-redirect" title="Xenophanes of Colophon">Xenophanes of Colophon</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 570</span> – c.<span style="white-space:nowrap;"> 478</span> BC), who had been one of his contemporaries.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200612_13-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200612-13"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200562_14-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200562-14"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> In the poem, Xenophanes describes Pythagoras interceding on behalf of a <a href="/wiki/Dog" title="Dog">dog</a> that is being beaten, professing to recognize in its cries the voice of a departed friend.<sup id="cite_ref-Xenophanes_15-0" class="reference"><a href="#cite_note-Xenophanes-15"><span class="cite-bracket">[</span>d<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBurkert1985299_12-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1985299-12"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier200612_13-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200612-13"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECopleston200331_16-0" class="reference"><a href="#cite_note-FOOTNOTECopleston200331-16"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Alcmaeon_of_Croton" title="Alcmaeon of Croton">Alcmaeon of Croton</a> (<a href="/wiki/Floruit" title="Floruit">fl.</a><span style="white-space:nowrap;"> <span title="circa">c.</span><span style="white-space:nowrap;"> 450</span></span> BC), a doctor who lived in Croton at around the same time Pythagoras lived there,<sup id="cite_ref-FOOTNOTEJoost-Gaugier200612_13-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200612-13"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> incorporates many Pythagorean teachings into his writings<sup id="cite_ref-FOOTNOTEJoost-Gaugier200612–13_17-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200612–13-17"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> and alludes to having possibly known Pythagoras personally.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200612–13_17-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200612–13-17"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> The poet <a href="/wiki/Heraclitus_of_Ephesus" class="mw-redirect" title="Heraclitus of Ephesus">Heraclitus of Ephesus</a> (fl.<span style="white-space:nowrap;"> <span title="circa">c.</span><span style="white-space:nowrap;"> 500</span></span> BC), who was born across a few miles of sea away from Samos and may have lived within Pythagoras's lifetime,<sup id="cite_ref-FOOTNOTEJoost-Gaugier200613_18-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200613-18"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> mocked Pythagoras as a clever charlatan,<sup id="cite_ref-FOOTNOTEKahn20012_11-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20012-11"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier200613_18-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200613-18"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> remarking that "Pythagoras, son of Mnesarchus, practiced inquiry more than any other man, and selecting from these writings he manufactured a wisdom for himself—much learning, artful knavery."<sup id="cite_ref-FOOTNOTEKahn20012_11-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20012-11"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier200613_18-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200613-18"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg/220px-Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg" decoding="async" width="220" height="334" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg/330px-Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7f/Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg/440px-Pythagoras_in_Thomas_Stanley_History_of_Philosophy.jpg 2x" data-file-width="842" data-file-height="1280" /></a><figcaption>Fictionalized portrait of Pythagoras from a 17th-century engraving</figcaption></figure> <p>The Greek poets <a href="/wiki/Ion_of_Chios" title="Ion of Chios">Ion of Chios</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 480</span> – c.<span style="white-space:nowrap;"> 421</span> BC) and <a href="/wiki/Empedocles_of_Acragas" class="mw-redirect" title="Empedocles of Acragas">Empedocles of Acragas</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 493</span> – c.<span style="white-space:nowrap;"> 432</span> BC) both express admiration for Pythagoras in their poems.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200614–15_19-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200614–15-19"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> The first concise description of Pythagoras comes from the historian <a href="/wiki/Herodotus_of_Halicarnassus" class="mw-redirect" title="Herodotus of Halicarnassus">Herodotus of Halicarnassus</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 484</span> – c.<span style="white-space:nowrap;"> 420</span> BC),<sup id="cite_ref-FOOTNOTEJoost-Gaugier200616_20-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> who describes him as one of the greatest Greek teachers<sup id="cite_ref-Herodotus_21-0" class="reference"><a href="#cite_note-Herodotus-21"><span class="cite-bracket">[</span>e<span class="cite-bracket">]</span></a></sup> and states that Pythagoras taught his followers how to attain <a href="/wiki/Immortality" title="Immortality">immortality</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200616_20-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> The accuracy of the works of Herodotus is controversial.<sup id="cite_ref-FOOTNOTEMarincola200159_22-0" class="reference"><a href="#cite_note-FOOTNOTEMarincola200159-22"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERoberts20112_23-0" class="reference"><a href="#cite_note-FOOTNOTERoberts20112-23"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTESparks199858_24-0" class="reference"><a href="#cite_note-FOOTNOTESparks199858-24"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEAsheriLloydCorcella2007_25-0" class="reference"><a href="#cite_note-FOOTNOTEAsheriLloydCorcella2007-25"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECameron2004156_26-0" class="reference"><a href="#cite_note-FOOTNOTECameron2004156-26"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup> The writings attributed to the Pythagorean philosopher <a href="/wiki/Philolaus" title="Philolaus">Philolaus of Croton</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 470</span> – c.<span style="white-space:nowrap;"> 385</span> BC) are the earliest texts to describe the numerological and musical theories that were later ascribed to Pythagoras.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200688_27-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200688-27"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup> The <a href="/wiki/Ancient_Athens" class="mw-redirect" title="Ancient Athens">Athenian</a> <a href="/wiki/Rhetoric" title="Rhetoric">rhetorician</a> <a href="/wiki/Isocrates" title="Isocrates">Isocrates</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 436</span> – c.<span style="white-space:nowrap;"> 338</span> BC) was the first to describe Pythagoras as having visited Egypt.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200616_20-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Aristotle" title="Aristotle">Aristotle</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 384</span> – c.<span style="white-space:nowrap;"> 322</span> BC) wrote a treatise <i>On the Pythagoreans</i>, which no longer exists.<sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup> Some of it may be preserved in the <i><a href="/wiki/Protrepticus_(Aristotle)" title="Protrepticus (Aristotle)">Protrepticus</a></i>. Aristotle's disciples <a href="/wiki/Dicaearchus" title="Dicaearchus">Dicaearchus</a>, <a href="/wiki/Aristoxenus" title="Aristoxenus">Aristoxenus</a>, and <a href="/wiki/Heraclides_Ponticus" title="Heraclides Ponticus">Heraclides Ponticus</a> (who all lived in the 3rd century BC) also wrote on the same subject.<sup id="cite_ref-FOOTNOTEBurkert1972109_29-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972109-29"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </p><p>Most of the major sources on Pythagoras's life are from the <a href="/wiki/Ancient_Greece#Roman_Greece" title="Ancient Greece">Roman period</a>,<sup id="cite_ref-FOOTNOTEKahn20015_30-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> by which point, according to the German classicist <a href="/wiki/Walter_Burkert" title="Walter Burkert">Walter Burkert</a>, "the history of Pythagoreanism was already<span class="nowrap"> </span>... the laborious reconstruction of something lost and gone."<sup id="cite_ref-FOOTNOTEBurkert1972109_29-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972109-29"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> Three <a href="/wiki/Historical_biography" class="mw-redirect" title="Historical biography">ancient biographies</a> of Pythagoras have survived from late antiquity,<sup id="cite_ref-FOOTNOTECopleston200329_10-1" class="reference"><a href="#cite_note-FOOTNOTECopleston200329-10"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20015_30-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> all of which are filled primarily with myths and legends.<sup id="cite_ref-FOOTNOTECopleston200329_10-2" class="reference"><a href="#cite_note-FOOTNOTECopleston200329-10"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20015_30-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEZhmud20129_31-0" class="reference"><a href="#cite_note-FOOTNOTEZhmud20129-31"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> The earliest and most respectable of these is the one from <a href="/wiki/Diogenes_La%C3%ABrtius" class="mw-redirect" title="Diogenes Laërtius">Diogenes Laërtius</a>'s <i><a href="/wiki/Lives_and_Opinions_of_Eminent_Philosophers" class="mw-redirect" title="Lives and Opinions of Eminent Philosophers">Lives and Opinions of Eminent Philosophers</a></i>.<sup id="cite_ref-FOOTNOTEKahn20015_30-3" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEZhmud20129_31-1" class="reference"><a href="#cite_note-FOOTNOTEZhmud20129-31"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> The two later biographies were written by the <a href="/wiki/Neoplatonism" title="Neoplatonism">Neoplatonist</a> philosophers <a href="/wiki/Porphyry_(philosopher)" title="Porphyry (philosopher)">Porphyry</a> and <a href="/wiki/Iamblichus" title="Iamblichus">Iamblichus</a><sup id="cite_ref-FOOTNOTEKahn20015_30-4" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEZhmud20129_31-2" class="reference"><a href="#cite_note-FOOTNOTEZhmud20129-31"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> and were partially intended as polemics against the <a href="/wiki/Rise_of_Christianity" class="mw-redirect" title="Rise of Christianity">rise of Christianity</a>.<sup id="cite_ref-FOOTNOTEZhmud20129_31-3" class="reference"><a href="#cite_note-FOOTNOTEZhmud20129-31"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> The later sources are much lengthier than the earlier ones,<sup id="cite_ref-FOOTNOTEKahn20015_30-5" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> and even more fantastic in their descriptions of Pythagoras's achievements.<sup id="cite_ref-FOOTNOTEKahn20015_30-6" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEZhmud20129_31-4" class="reference"><a href="#cite_note-FOOTNOTEZhmud20129-31"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup> Porphyry and Iamblichus used material from the lost writings of Aristotle's disciples (Dicaearchus, Aristoxenus, and Heraclides)<sup id="cite_ref-FOOTNOTEBurkert1972109_29-2" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972109-29"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> and material taken from these sources is generally considered to be the most reliable.<sup id="cite_ref-FOOTNOTEBurkert1972109_29-3" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972109-29"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Life">Life</h2></div> <div class="mw-heading mw-heading3"><h3 id="Early_life">Early life</h3></div> <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>There is not a single detail in the life of Pythagoras that stands uncontradicted. But it is possible, from a more or less critical selection of the data, to construct a plausible account.</p><div class="templatequotecite">— <cite><a href="/wiki/Walter_Burkert" title="Walter Burkert">Walter Burkert</a>, 1972<sup id="cite_ref-FOOTNOTEBurkert1972106_32-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972106-32"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup></cite></div></blockquote> <p><a href="/wiki/Herodotus" title="Herodotus">Herodotus</a>,<sup id="cite_ref-FOOTNOTEHdt._4297§95_33-0" class="reference"><a href="#cite_note-FOOTNOTEHdt._4297§95-33"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Isocrates" title="Isocrates">Isocrates</a>, and other early writers agree that Pythagoras was the son of Mnesarchus,<sup id="cite_ref-FOOTNOTEJoost-Gaugier200616_20-3" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20016_34-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20016-34"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup> and that he was born on the Greek island of <a href="/wiki/Samos" title="Samos">Samos</a> in the eastern <a href="/wiki/Aegean_Sea" title="Aegean Sea">Aegean</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200611_5-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200611-5"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20016_34-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20016-34"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson200812_35-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200812-35"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny20049_36-0" class="reference"><a href="#cite_note-FOOTNOTEKenny20049-36"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup> According to these biographers, Pythagoras's father was not born on the island, although he got naturalized there,<sup id="cite_ref-FOOTNOTEFerguson200812_35-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson200812-35"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup> but according to <a href="/wiki/Iamblichus" title="Iamblichus">Iamblichus</a> he was a native of the island.<sup id="cite_ref-FOOTNOTEFerguson200811_37-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200811-37"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup> He is said to have been a gem-engraver or a wealthy merchant<sup id="cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§1,_§10_38-0" class="reference"><a href="#cite_note-FOOTNOTEPorphyry,_Vit._Pyth§1,_§10-38"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-39" class="reference"><a href="#cite_note-39"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier200621_40-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200621-40"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup> but his ancestry is disputed and unclear.<sup id="cite_ref-ancestry_41-0" class="reference"><a href="#cite_note-ancestry-41"><span class="cite-bracket">[</span>f<span class="cite-bracket">]</span></a></sup> His mother was a native of <a href="/wiki/Samos" title="Samos">Samos</a>, descending from a <i><a href="/wiki/Geomori_(Samos)" title="Geomori (Samos)">geomoroi</a></i> family.<sup id="cite_ref-FOOTNOTEFerguson200815_42-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200815-42"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Apollonius_of_Tyana" title="Apollonius of Tyana">Apollonius of Tyana</a>, gives her name as Pythaïs.<sup id="cite_ref-FOOTNOTETaub2017[httpsbooksgooglecombooksidodm7DgAAQBAJpgPA122_122]_43-0" class="reference"><a href="#cite_note-FOOTNOTETaub2017[httpsbooksgooglecombooksidodm7DgAAQBAJpgPA122_122]-43"><span class="cite-bracket">[</span>37<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">[</span>38<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Iamblichus" title="Iamblichus">Iamblichus</a> tells the story that the Pythia prophesied to her while she was pregnant with him that she would give birth to a man supremely beautiful, wise, and beneficial to humankind.<sup id="cite_ref-FOOTNOTERiedweg200559_45-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200559-45"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> As to the date of his birth, <a href="/wiki/Aristoxenus" title="Aristoxenus">Aristoxenus</a> stated that Pythagoras left Samos in the reign of <a href="/wiki/Polycrates" title="Polycrates">Polycrates</a>, at the age of 40, which would give a date of birth around 570 BC.<sup id="cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§9_46-0" class="reference"><a href="#cite_note-FOOTNOTEPorphyry,_Vit._Pyth§9-46"><span class="cite-bracket">[</span>40<span class="cite-bracket">]</span></a></sup> Pythagoras's name led him to be associated with <a href="/wiki/Pythia" title="Pythia">Pythian</a> <a href="/wiki/Apollo" title="Apollo">Apollo</a> (<span title="Ancient Greek (to 1453)-language romanization"><i lang="grc-Latn">Pūthíā</i></span>); <a href="/wiki/Aristippus_of_Cyrene" class="mw-redirect" title="Aristippus of Cyrene">Aristippus of Cyrene</a> in the 4th century BC explained his name by saying, "He spoke [<span title="Ancient Greek (to 1453)-language text"><span lang="grc"><a href="https://en.wiktionary.org/wiki/%E1%BC%80%CE%B3%CE%BF%CF%81%CE%B5%CF%8D%CF%89" class="extiw" title="wikt:ἀγορεύω">ἀγορεύω</a></span></span>, <span title="Ancient Greek (to 1453)-language romanization"><i lang="grc-Latn">agoreúō</i></span>] the truth no less than did the Pythian [<span title="Ancient Greek (to 1453)-language text"><span lang="grc"><a href="https://en.wiktionary.org/wiki/%CE%A0%CF%85%CE%B8%CE%AF%CE%B1" class="extiw" title="wikt:Πυθία">πυθικός</a></span></span> <span title="Ancient Greek (to 1453)-language romanization"><i lang="grc-Latn">puthikós</i></span>]".<sup id="cite_ref-FOOTNOTERiedweg200559_45-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200559-45"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> </p><p>During Pythagoras's formative years, Samos was a thriving cultural hub known for its feats of advanced architectural engineering, including the building of the <a href="/wiki/Tunnel_of_Eupalinos" title="Tunnel of Eupalinos">Tunnel of Eupalinos</a>, and for its riotous festival culture.<sup id="cite_ref-FOOTNOTERiedweg200545–47_47-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200545–47-47"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup> It was a major center of trade in the Aegean where traders brought goods from the <a href="/wiki/Near_East" title="Near East">Near East</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200611_5-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200611-5"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> According to Christiane L. Joost-Gaugier, these traders almost certainly brought with them Near Eastern ideas and traditions.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200611_5-3" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200611-5"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Pythagoras's early life also coincided with the flowering of early Ionian <a href="/wiki/Natural_philosophy" title="Natural philosophy">natural philosophy</a>.<sup id="cite_ref-FOOTNOTEKahn20016_34-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20016-34"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200544–45_48-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200544–45-48"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup> He was a contemporary of the philosophers <a href="/wiki/Anaximander" title="Anaximander">Anaximander</a>, <a href="/wiki/Anaximenes_of_Miletus" title="Anaximenes of Miletus">Anaximenes</a>, and the historian <a href="/wiki/Hecataeus_of_Miletus" title="Hecataeus of Miletus">Hecataeus</a>, all of whom lived in <a href="/wiki/Miletus" title="Miletus">Miletus</a>, across the sea from Samos.<sup id="cite_ref-FOOTNOTERiedweg200544–45_48-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200544–45-48"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Reputed_travels">Reputed travels</h3></div> <p><span class="anchor" id="Alleged_travels"></span> Pythagoras is traditionally thought to have received most of his education in the Near East.<sup id="cite_ref-FOOTNOTERiedweg20057_49-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20057-49"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup> Modern scholarship has shown that the culture of <a href="/wiki/Archaic_Greece" title="Archaic Greece">Archaic Greece</a> was heavily influenced by those of <a href="/wiki/Levant" title="Levant">Levantine</a> and <a href="/wiki/Mesopotamia" title="Mesopotamia">Mesopotamian</a> cultures.<sup id="cite_ref-FOOTNOTERiedweg20057_49-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20057-49"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup> Like many other important Greek thinkers, Pythagoras was said to have studied in <a href="/wiki/Ancient_Egypt" title="Ancient Egypt">Egypt</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200616_20-4" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg20057–8_50-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20057–8-50"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201522–23_51-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201522–23-51"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup> By the time of Isocrates in the fourth century BC, Pythagoras's reputed studies in Egypt were already taken as fact.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200616_20-5" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200559_45-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200559-45"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup> The writer <a href="/wiki/Antiphon_(writer)" title="Antiphon (writer)">Antiphon</a>, who may have lived during the Hellenistic Era, claimed in his lost work <i>On Men of Outstanding Merit</i>, used as a source by Porphyry, that Pythagoras learned to speak <a href="/wiki/Egyptian_language" title="Egyptian language">Egyptian</a> from the <a href="/wiki/Pharaoh" title="Pharaoh">Pharaoh</a> <a href="/wiki/Amasis_II" title="Amasis II">Amasis II</a> himself, that he studied with the Egyptian priests at <a href="/wiki/Thebes,_Egypt" title="Thebes, Egypt">Diospolis</a> (Thebes), and that he was the only foreigner ever to be granted the privilege of taking part in their worship.<sup id="cite_ref-FOOTNOTERiedweg20057_49-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg20057-49"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§6_52-0" class="reference"><a href="#cite_note-FOOTNOTEPorphyry,_Vit._Pyth§6-52"><span class="cite-bracket">[</span>46<span class="cite-bracket">]</span></a></sup> The <a href="/wiki/Middle_Platonist" class="mw-redirect" title="Middle Platonist">Middle Platonist</a> biographer <a href="/wiki/Plutarch" title="Plutarch">Plutarch</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 46</span> – c.<span style="white-space:nowrap;"> 120</span> AD) writes in his treatise <i><a href="/wiki/Moralia" title="Moralia">On Isis and Osiris</a></i> that, during his visit to Egypt, Pythagoras received instruction from the Egyptian priest <a href="/w/index.php?title=Oenuphis_of_Heliopolis&action=edit&redlink=1" class="new" title="Oenuphis of Heliopolis (page does not exist)">Oenuphis of Heliopolis</a> (meanwhile <a href="/wiki/Solon" title="Solon">Solon</a> received lectures from a <a href="/wiki/Sonchis_of_Sais" title="Sonchis of Sais">Sonchis of Sais</a>).<sup id="cite_ref-FOOTNOTEPlutarch,_de_Iside_et_Osiride25§354e_53-0" class="reference"><a href="#cite_note-FOOTNOTEPlutarch,_de_Iside_et_Osiride25§354e-53"><span class="cite-bracket">[</span>47<span class="cite-bracket">]</span></a></sup> According to the <a href="/wiki/Christian_theologian" class="mw-redirect" title="Christian theologian">Christian theologian</a> <a href="/wiki/Clement_of_Alexandria" title="Clement of Alexandria">Clement of Alexandria</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 150</span> – c.<span style="white-space:nowrap;"> 215</span> AD), "Pythagoras was a disciple of Sonchis, an Egyptian archprophet, as well as a Plato of <a href="/w/index.php?title=Sechnuphis&action=edit&redlink=1" class="new" title="Sechnuphis (page does not exist)">Sechnuphis</a>."<sup id="cite_ref-FOOTNOTEPress200383_54-0" class="reference"><a href="#cite_note-FOOTNOTEPress200383-54"><span class="cite-bracket">[</span>48<span class="cite-bracket">]</span></a></sup> Some ancient writers claimed that Pythagoras learned geometry and the doctrine of <a href="/wiki/Metempsychosis" title="Metempsychosis">metempsychosis</a> from the Egyptians.<sup id="cite_ref-FOOTNOTERiedweg20057–8_50-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20057–8-50"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup> </p><p>Other ancient writers, however, claimed that Pythagoras had learned these teachings from the <a href="/wiki/Magi" title="Magi">Magi</a> in <a href="/wiki/Persia" class="mw-redirect" title="Persia">Persia</a> or even from <a href="/wiki/Zoroaster" title="Zoroaster">Zoroaster</a> himself.<sup id="cite_ref-FOOTNOTEDiog_VIII§1.1,_§1.3_56-0" class="reference"><a href="#cite_note-FOOTNOTEDiog_VIII§1.1,_§1.3-56"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg20058_57-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius asserts that Pythagoras later visited <a href="/wiki/Crete" title="Crete">Crete</a>, where he went to the <a href="/wiki/Mount_Ida" title="Mount Ida">Cave of Ida</a> with <a href="/wiki/Epimenides" title="Epimenides">Epimenides</a>.<sup id="cite_ref-FOOTNOTEDiog_VIII1.1,_1.3_58-0" class="reference"><a href="#cite_note-FOOTNOTEDiog_VIII1.1,_1.3-58"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup> The <a href="/wiki/Phoenicia" title="Phoenicia">Phoenicians</a> are reputed to have taught Pythagoras <a href="/wiki/Arithmetic" title="Arithmetic">arithmetic</a> and the <a href="/wiki/Chaldea" title="Chaldea">Chaldeans</a> to have taught him astronomy.<sup id="cite_ref-FOOTNOTERiedweg20058_57-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> By the third century BC, Pythagoras was already reported to have studied under the <a href="/wiki/Jews" title="Jews">Jews</a> as well.<sup id="cite_ref-FOOTNOTERiedweg20058_57-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Contradicting all these reports, the novelist <a href="/wiki/Antonius_Diogenes" title="Antonius Diogenes">Antonius Diogenes</a>, writing in the second century BC, reports that Pythagoras discovered all his doctrines himself by <a href="/wiki/Dream_interpretation" title="Dream interpretation">interpreting dreams</a>.<sup id="cite_ref-FOOTNOTERiedweg20058_57-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> The third-century AD <a href="/wiki/Sophist" title="Sophist">Sophist</a> <a href="/wiki/Philostratus" title="Philostratus">Philostratus</a> claims that, in addition to the Egyptians, Pythagoras also studied under sages or <a href="/wiki/Gymnosophist" class="mw-redirect" title="Gymnosophist">gymnosophists</a> in <a href="/wiki/India" title="India">India</a>.<sup id="cite_ref-FOOTNOTERiedweg20058_57-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Iamblichus expands this list even further by claiming that Pythagoras also studied with the <a href="/wiki/Celts" title="Celts">Celts</a> and <a href="/wiki/Iberians" title="Iberians">Iberians</a>.<sup id="cite_ref-FOOTNOTERiedweg20058_57-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Alleged_Greek_teachers">Alleged Greek teachers</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Pythagoras_Bust_Vatican_Museum_(cropped).jpg" class="mw-file-description"><img alt="Bust of a somewhat elderly and rather tired-looking man with a short, curly beard, vaguely similar to Greek busts of Homer" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Pythagoras_Bust_Vatican_Museum_%28cropped%29.jpg/170px-Pythagoras_Bust_Vatican_Museum_%28cropped%29.jpg" decoding="async" width="170" height="170" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Pythagoras_Bust_Vatican_Museum_%28cropped%29.jpg/255px-Pythagoras_Bust_Vatican_Museum_%28cropped%29.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/93/Pythagoras_Bust_Vatican_Museum_%28cropped%29.jpg/340px-Pythagoras_Bust_Vatican_Museum_%28cropped%29.jpg 2x" data-file-width="431" data-file-height="432" /></a><figcaption>Bust of Pythagoras in the <a href="/wiki/Vatican_Museums" title="Vatican Museums">Vatican Museums</a>, <a href="/wiki/Vatican_City" title="Vatican City">Vatican City</a>, showing him as a "tired-looking older man"<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006143_1-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006143-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg" class="mw-file-description"><img alt="Bronze bust of a man with a short, curly beard wearing a tainia, which resembles a turban. Short curls hang out from underneath the tainia. The face is much broader than the other busts and the neck much fatter. The brow ridges are very prominent." src="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg/170px-Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg" decoding="async" width="170" height="255" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/92/Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg/255px-Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/92/Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg/340px-Archytas_of_Tarentum_MAN_Napoli_Inv5607.jpg 2x" data-file-width="2667" data-file-height="4000" /></a><figcaption>Bronze bust of a philosopher wearing a <i><a href="/wiki/Tainia_(costume)" title="Tainia (costume)">tainia</a></i> from <a href="/wiki/Villa_of_the_Papyri" title="Villa of the Papyri">Villa of the Papyri</a>, <a href="/wiki/Herculaneum" title="Herculaneum">Herculaneum</a>, possibly a fictional bust of Pythagoras<sup id="cite_ref-FOOTNOTEDillon2005163_59-0" class="reference"><a href="#cite_note-FOOTNOTEDillon2005163-59"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier2006143_1-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006143-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>Ancient sources also record Pythagoras having studied under a variety of native Greek thinkers.<sup id="cite_ref-FOOTNOTERiedweg20058_57-6" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Some identify Hermodamas of Samos as a possible tutor.<sup id="cite_ref-FOOTNOTERiedweg20058_57-7" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-60" class="reference"><a href="#cite_note-60"><span class="cite-bracket">[</span>54<span class="cite-bracket">]</span></a></sup> Hermodamas represented the indigenous Samian <a href="/wiki/Rhapsode" title="Rhapsode">rhapsodic</a> tradition and his father Creophylos was said to have been the host of his rival poet <a href="/wiki/Homer" title="Homer">Homer</a>.<sup id="cite_ref-FOOTNOTERiedweg20058_57-8" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Others credit <a href="/wiki/Bias_of_Priene" title="Bias of Priene">Bias of Priene</a>, Thales,<sup id="cite_ref-FOOTNOTEIamblichus,_Vit._Pyth§9_61-0" class="reference"><a href="#cite_note-FOOTNOTEIamblichus,_Vit._Pyth§9-61"><span class="cite-bracket">[</span>55<span class="cite-bracket">]</span></a></sup> or <a href="/wiki/Anaximander" title="Anaximander">Anaximander</a> (a pupil of Thales).<sup id="cite_ref-FOOTNOTERiedweg20058_57-9" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEIamblichus,_Vit._Pyth§9_61-1" class="reference"><a href="#cite_note-FOOTNOTEIamblichus,_Vit._Pyth§9-61"><span class="cite-bracket">[</span>55<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§2_62-0" class="reference"><a href="#cite_note-FOOTNOTEPorphyry,_Vit._Pyth§2-62"><span class="cite-bracket">[</span>56<span class="cite-bracket">]</span></a></sup> Other traditions claim the mythic bard <a href="/wiki/Orpheus" title="Orpheus">Orpheus</a> as Pythagoras's teacher, thus representing the <a href="/wiki/Orphism_(religion)" title="Orphism (religion)">Orphic Mysteries</a>.<sup id="cite_ref-FOOTNOTERiedweg20058_57-10" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> The Neoplatonists wrote of a "sacred discourse" Pythagoras had written on the gods in the <a href="/wiki/Doric_Greek" title="Doric Greek">Doric Greek</a> dialect, which they believed had been dictated to Pythagoras by the Orphic priest Aglaophamus upon his initiation to the orphic Mysteries at <a href="/wiki/Leibethra" title="Leibethra">Leibethra</a>.<sup id="cite_ref-FOOTNOTERiedweg20058_57-11" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058-57"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup> Iamblichus credited Orpheus with having been the model for Pythagoras's manner of speech, his spiritual attitude, and his manner of worship.<sup id="cite_ref-FOOTNOTERiedweg20058–9_63-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058–9-63"><span class="cite-bracket">[</span>57<span class="cite-bracket">]</span></a></sup> Iamblichus describes Pythagoreanism as a synthesis of everything Pythagoras had learned from Orpheus, from the Egyptian priests, from the <a href="/wiki/Eleusinian_Mysteries" title="Eleusinian Mysteries">Eleusinian Mysteries</a>, and from other religious and philosophical traditions.<sup id="cite_ref-FOOTNOTERiedweg20058–9_63-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20058–9-63"><span class="cite-bracket">[</span>57<span class="cite-bracket">]</span></a></sup> Riedweg states that, although these stories are fanciful, Pythagoras's teachings were definitely influenced by Orphism to a noteworthy extent.<sup id="cite_ref-FOOTNOTERiedweg20059_64-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> </p><p>Of the various Greek sages claimed to have taught Pythagoras, <a href="/wiki/Pherecydes_of_Syros" title="Pherecydes of Syros">Pherecydes of Syros</a> is mentioned most often.<sup id="cite_ref-FOOTNOTERiedweg20059_64-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-65" class="reference"><a href="#cite_note-65"><span class="cite-bracket">[</span>59<span class="cite-bracket">]</span></a></sup> Similar miracle stories were told about both Pythagoras and Pherecydes, including one in which the hero predicts a shipwreck, one in which he predicts the conquest of <a href="/wiki/Messina" title="Messina">Messina</a>, and one in which he drinks from a well and predicts an earthquake.<sup id="cite_ref-FOOTNOTERiedweg20059_64-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Apollonius_Paradoxographus" title="Apollonius Paradoxographus">Apollonius Paradoxographus</a>, a paradoxographer who may have lived in the second century BC, identified Pythagoras's <a href="/wiki/Thaumaturgy" title="Thaumaturgy">thaumaturgic</a> ideas as a result of Pherecydes's influence.<sup id="cite_ref-FOOTNOTERiedweg20059_64-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> Another story, which may be traced to the Neopythagorean philosopher <a href="/wiki/Nicomachus" title="Nicomachus">Nicomachus</a>, tells that, when Pherecydes was old and dying on the island of <a href="/wiki/Delos" title="Delos">Delos</a>, Pythagoras returned to care for him and pay his respects.<sup id="cite_ref-FOOTNOTERiedweg20059_64-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Duris_of_Samos" title="Duris of Samos">Duris</a>, the historian and <a href="/wiki/Tyrant" title="Tyrant">tyrant</a> of Samos, is reported to have patriotically boasted of an epitaph supposedly penned by Pherecydes which declared that Pythagoras's wisdom exceeded his own.<sup id="cite_ref-FOOTNOTERiedweg20059_64-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> On the grounds of all these references connecting Pythagoras with Pherecydes, Riedweg concludes that there may well be some historical foundation to the tradition that Pherecydes was Pythagoras's teacher.<sup id="cite_ref-FOOTNOTERiedweg20059_64-6" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> Pythagoras and Pherecydes also appear to have shared similar views on the soul and the teaching of metempsychosis.<sup id="cite_ref-FOOTNOTERiedweg20059_64-7" class="reference"><a href="#cite_note-FOOTNOTERiedweg20059-64"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup> </p><p>Before 520 BC, on one of his visits to Egypt or Greece, Pythagoras might have met <a href="/wiki/Thales_of_Miletus" title="Thales of Miletus">Thales of Miletus</a>, who would have been around fifty-four years older than him. Thales was a philosopher, scientist, mathematician, and engineer,<sup id="cite_ref-FOOTNOTEBoyerMerzbach201144_66-0" class="reference"><a href="#cite_note-FOOTNOTEBoyerMerzbach201144-66"><span class="cite-bracket">[</span>60<span class="cite-bracket">]</span></a></sup> also known for a <a href="/wiki/Thales%27_Theorem" class="mw-redirect" title="Thales' Theorem">special case</a> of the <a href="/wiki/Inscribed_angle_theorem" class="mw-redirect" title="Inscribed angle theorem">inscribed angle theorem</a>. Pythagoras's birthplace, the island of <a href="/wiki/Samos" title="Samos">Samos</a>, is situated in the Northeast <a href="/wiki/Aegean_Sea" title="Aegean Sea">Aegean Sea</a> not far from <a href="/wiki/Miletus" title="Miletus">Miletus</a>.<sup id="cite_ref-FOOTNOTEZhmud20122,_16_67-0" class="reference"><a href="#cite_note-FOOTNOTEZhmud20122,_16-67"><span class="cite-bracket">[</span>61<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius cites a statement from <a href="/wiki/Aristoxenus" title="Aristoxenus">Aristoxenus</a> (fourth century BC) stating that Pythagoras learned most of his <a href="/wiki/Moral" title="Moral">moral</a> doctrines from the <a href="/wiki/Pythia" title="Pythia">Delphic priestess</a> <a href="/wiki/Themistoclea" title="Themistoclea">Themistoclea</a>.<sup id="cite_ref-FOOTNOTEDiog_VIII§1.1,_§1.8_68-0" class="reference"><a href="#cite_note-FOOTNOTEDiog_VIII§1.1,_§1.8-68"><span class="cite-bracket">[</span>62<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEWaithe198711_69-0" class="reference"><a href="#cite_note-FOOTNOTEWaithe198711-69"><span class="cite-bracket">[</span>63<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEMalone200922_70-0" class="reference"><a href="#cite_note-FOOTNOTEMalone200922-70"><span class="cite-bracket">[</span>64<span class="cite-bracket">]</span></a></sup> Porphyry agrees with this assertion<sup id="cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§41_71-0" class="reference"><a href="#cite_note-FOOTNOTEPorphyry,_Vit._Pyth§41-71"><span class="cite-bracket">[</span>65<span class="cite-bracket">]</span></a></sup> but calls the priestess Aristoclea (<i>Aristokleia</i>).<sup id="cite_ref-FOOTNOTEMénage198448_72-0" class="reference"><a href="#cite_note-FOOTNOTEMénage198448-72"><span class="cite-bracket">[</span>66<span class="cite-bracket">]</span></a></sup> Ancient authorities furthermore note the similarities between the religious and <a href="/wiki/Ascetic" class="mw-redirect" title="Ascetic">ascetic</a> peculiarities of Pythagoras with the <a href="/wiki/Orphism_(religion)" title="Orphism (religion)">Orphic</a> or <a href="/wiki/Greco-Roman_mysteries" title="Greco-Roman mysteries">Cretan mysteries</a>,<sup id="cite_ref-73" class="reference"><a href="#cite_note-73"><span class="cite-bracket">[</span>67<span class="cite-bracket">]</span></a></sup> or the <a href="/wiki/Pythia" title="Pythia">Delphic oracle</a>.<sup id="cite_ref-74" class="reference"><a href="#cite_note-74"><span class="cite-bracket">[</span>68<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="In_Croton">In Croton</h3></div> <style data-mw-deduplicate="TemplateStyles:r1238443738">.mw-parser-output .locmap .od{position:absolute}.mw-parser-output .locmap .id{position:absolute;line-height:0}.mw-parser-output .locmap .l0{font-size:0;position:absolute}.mw-parser-output .locmap .pv{line-height:110%;position:absolute;text-align:center}.mw-parser-output .locmap .pl{line-height:110%;position:absolute;top:-0.75em;text-align:right}.mw-parser-output .locmap .pr{line-height:110%;position:absolute;top:-0.75em;text-align:left}.mw-parser-output .locmap .pv>div{display:inline;padding:1px}.mw-parser-output .locmap .pl>div{display:inline;padding:1px;float:right}.mw-parser-output .locmap .pr>div{display:inline;padding:1px;float:left}@media screen{html.skin-theme-clientpref-night .mw-parser-output .od,html.skin-theme-clientpref-night .mw-parser-output .od .pv>div,html.skin-theme-clientpref-night .mw-parser-output .od .pl>div,html.skin-theme-clientpref-night .mw-parser-output .od .pr>div{background:#fff!important;color:#000!important}html.skin-theme-clientpref-night .mw-parser-output .locmap{filter:grayscale(0.6)}html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data .locmap div{background:transparent!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .locmap{filter:grayscale(0.6)}html.skin-theme-clientpref-os .mw-parser-output .od,html.skin-theme-clientpref-os .mw-parser-output .od .pv>div,html.skin-theme-clientpref-os .mw-parser-output .od .pl>div,html.skin-theme-clientpref-os .mw-parser-output .od .pr>div{background:white!important;color:#000!important}html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data .locmap div{background:transparent!important}}</style><div class="locmap noviewer noresize thumb tleft"><div class="thumbinner" style="width:252px"><div style="position:relative;width:250px;border:1px solid lightgray"><span class="notpageimage" typeof="mw:File"><a href="/wiki/File:Italy_provincial_location_map_2016.svg" class="mw-file-description" title="Pythagoras is located in Italy"><img alt="Pythagoras is located in Italy" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Italy_provincial_location_map_2016.svg/250px-Italy_provincial_location_map_2016.svg.png" decoding="async" width="250" height="314" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/16/Italy_provincial_location_map_2016.svg/375px-Italy_provincial_location_map_2016.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/16/Italy_provincial_location_map_2016.svg/500px-Italy_provincial_location_map_2016.svg.png 2x" data-file-width="1034" data-file-height="1299" /></a></span><div class="od notheme" style="top:68.754%;left:85.368%;font-size:75%"><div class="id" title="N" style="left:-4px;top:-4px"><span class="notpageimage" typeof="mw:File"><span title="Croton"><img alt="Croton" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/8px-Red_pog.svg.png" decoding="async" width="8" height="8" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/12px-Red_pog.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/16px-Red_pog.svg.png 2x" data-file-width="64" data-file-height="64" /></span></span></div><div class="pr" style="width:6em;left:5px"><div><a href="/wiki/Crotone" title="Crotone">Croton</a></div></div></div><div class="od notheme" style="top:58.094%;left:82.92%;font-size:75%"><div class="id" title="N" style="left:-4px;top:-4px"><span class="notpageimage" typeof="mw:File"><span title="Metapontum"><img alt="Metapontum" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/8px-Red_pog.svg.png" decoding="async" width="8" height="8" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/12px-Red_pog.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/16px-Red_pog.svg.png 2x" data-file-width="64" data-file-height="64" /></span></span></div><div class="pl" style="width:6em;right:5px"><div><a href="/wiki/Metapontum" title="Metapontum">Metapontum</a></div></div></div><div class="od notheme" style="top:63.223%;left:80.209%;font-size:75%"><div class="id" title="N" style="left:-4px;top:-4px"><span class="notpageimage" typeof="mw:File"><span title="Sybaris"><img alt="Sybaris" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/8px-Red_pog.svg.png" decoding="async" width="8" height="8" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/12px-Red_pog.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/16px-Red_pog.svg.png 2x" data-file-width="64" data-file-height="64" /></span></span></div><div class="pl" style="width:6em;right:5px"><div><a href="/wiki/Sybaris" title="Sybaris">Sybaris</a></div></div></div><div class="od notheme" style="top:57.319%;left:86.305%;font-size:75%"><div class="id" title="N" style="left:-4px;top:-4px"><span class="notpageimage" typeof="mw:File"><span title="Tarentum"><img alt="Tarentum" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/8px-Red_pog.svg.png" decoding="async" width="8" height="8" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/12px-Red_pog.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/16px-Red_pog.svg.png 2x" data-file-width="64" data-file-height="64" /></span></span></div><div class="pr" style="width:6em;left:5px"><div><a href="/wiki/Taranto" title="Taranto">Tarentum</a></div></div></div><div class="od notheme" style="top:83.393%;left:57.703%;font-size:75%"><div class="id" title="N" style="left:-4px;top:-4px"><span class="notpageimage" typeof="mw:File"><span title="Acragas"><img alt="Acragas" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/8px-Red_pog.svg.png" decoding="async" width="8" height="8" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/12px-Red_pog.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0c/Red_pog.svg/16px-Red_pog.svg.png 2x" data-file-width="64" data-file-height="64" /></span></span></div><div class="pr" style="width:6em;left:5px"><div><a href="/wiki/Agrigento" title="Agrigento">Acragas</a></div></div></div></div><div class="thumbcaption"><div class="magnify"><a href="/wiki/File:Italy_provincial_location_map_2016.svg" title="File:Italy provincial location map 2016.svg">class=notpageimage| </a></div>Map of Italy showing locations associated with Pythagoras</div></div></div> <p>Porphyry repeats an account from <a href="/wiki/Antiphon_(writer)" title="Antiphon (writer)">Antiphon</a>, who reported that, while he was still on Samos, Pythagoras founded a school known as the "semicircle".<sup id="cite_ref-FOOTNOTERiedweg200510_75-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan201364_76-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201364-76"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup> Here, Samians debated matters of public concern.<sup id="cite_ref-FOOTNOTERiedweg200510_75-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan201364_76-1" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201364-76"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup> Supposedly, the school became so renowned that the brightest minds in all of Greece came to Samos to hear Pythagoras teach.<sup id="cite_ref-FOOTNOTERiedweg200510_75-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup> Pythagoras himself dwelled in a secret cave, where he studied in private and occasionally held discourses with a few of his close friends.<sup id="cite_ref-FOOTNOTERiedweg200510_75-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan201364_76-2" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201364-76"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup> Christoph Riedweg, a German scholar of early Pythagoreanism, states that it is entirely possible Pythagoras may have taught on Samos,<sup id="cite_ref-FOOTNOTERiedweg200510_75-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup> but cautions that Antiphon's account, which makes reference to a specific building that was still in use during his own time, appears to be motivated by Samian patriotic interest.<sup id="cite_ref-FOOTNOTERiedweg200510_75-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup> </p><p>Around 530 BC, when Pythagoras was about forty years old, he left Samos.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200611_5-4" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200611-5"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20016_34-3" class="reference"><a href="#cite_note-FOOTNOTEKahn20016-34"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200511_77-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200511-77"><span class="cite-bracket">[</span>71<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson20085_78-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson20085-78"><span class="cite-bracket">[</span>72<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201522_79-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201522-79"><span class="cite-bracket">[</span>73<span class="cite-bracket">]</span></a></sup> His later admirers claimed that he left because he disagreed with the <a href="/wiki/Tyrant" title="Tyrant">tyranny</a> of <a href="/wiki/Polycrates" title="Polycrates">Polycrates</a> in Samos,<sup id="cite_ref-FOOTNOTERiedweg200511_77-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200511-77"><span class="cite-bracket">[</span>71<span class="cite-bracket">]</span></a></sup> Riedweg notes that this explanation closely aligns with Nicomachus's emphasis on Pythagoras's purported love of freedom, but that Pythagoras's enemies portrayed him as having a proclivity towards tyranny.<sup id="cite_ref-FOOTNOTERiedweg200511_77-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200511-77"><span class="cite-bracket">[</span>71<span class="cite-bracket">]</span></a></sup> Other accounts claim that Pythagoras left Samos because he was so overburdened with public duties in Samos, because of the high estimation in which he was held by his fellow-citizens.<sup id="cite_ref-80" class="reference"><a href="#cite_note-80"><span class="cite-bracket">[</span>74<span class="cite-bracket">]</span></a></sup> He arrived in the Greek colony of Croton (today's <a href="/wiki/Crotone" title="Crotone">Crotone</a>, in <a href="/wiki/Calabria" title="Calabria">Calabria</a>) in what was then <a href="/wiki/Magna_Graecia" title="Magna Graecia">Magna Graecia</a>.<sup id="cite_ref-FOOTNOTEKahn20016_34-4" class="reference"><a href="#cite_note-FOOTNOTEKahn20016-34"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201522_79-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201522-79"><span class="cite-bracket">[</span>73<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEDe_Vogel196621ff_81-0" class="reference"><a href="#cite_note-FOOTNOTEDe_Vogel196621ff-81"><span class="cite-bracket">[</span>75<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-82" class="reference"><a href="#cite_note-82"><span class="cite-bracket">[</span>76<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200511–12_83-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200511–12-83"><span class="cite-bracket">[</span>77<span class="cite-bracket">]</span></a></sup> All sources agree that Pythagoras was charismatic and quickly acquired great political influence in his new environment.<sup id="cite_ref-FOOTNOTEKahn20016_34-5" class="reference"><a href="#cite_note-FOOTNOTEKahn20016-34"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEDe_Vogel1966148–150_84-0" class="reference"><a href="#cite_note-FOOTNOTEDe_Vogel1966148–150-84"><span class="cite-bracket">[</span>78<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200512–13_85-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200512–13-85"><span class="cite-bracket">[</span>79<span class="cite-bracket">]</span></a></sup> He served as an advisor to the elites in Croton and gave them frequent advice.<sup id="cite_ref-FOOTNOTERiedweg200512–18_86-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200512–18-86"><span class="cite-bracket">[</span>80<span class="cite-bracket">]</span></a></sup> Later biographers tell fantastical stories of the effects of his eloquent speeches in leading the people of Croton to abandon their luxurious and corrupt way of life and devote themselves to the purer system which he came to introduce.<sup id="cite_ref-87" class="reference"><a href="#cite_note-87"><span class="cite-bracket">[</span>81<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200513–18_88-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200513–18-88"><span class="cite-bracket">[</span>82<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Family_and_friends">Family and friends</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:The_story_of_the_greatest_nations;_a_comprehensive_history,_extending_from_the_earliest_times_to_the_present,_founded_on_the_most_modern_authorities,_and_including_chronological_summaries_and_(14783288925).jpg" class="mw-file-description"><img alt="Illustration showing Pythagoras teaching a class of women" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2d/The_story_of_the_greatest_nations%3B_a_comprehensive_history%2C_extending_from_the_earliest_times_to_the_present%2C_founded_on_the_most_modern_authorities%2C_and_including_chronological_summaries_and_%2814783288925%29.jpg/310px-thumbnail.jpg" decoding="async" width="310" height="210" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2d/The_story_of_the_greatest_nations%3B_a_comprehensive_history%2C_extending_from_the_earliest_times_to_the_present%2C_founded_on_the_most_modern_authorities%2C_and_including_chronological_summaries_and_%2814783288925%29.jpg/465px-thumbnail.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2d/The_story_of_the_greatest_nations%3B_a_comprehensive_history%2C_extending_from_the_earliest_times_to_the_present%2C_founded_on_the_most_modern_authorities%2C_and_including_chronological_summaries_and_%2814783288925%29.jpg/620px-thumbnail.jpg 2x" data-file-width="3008" data-file-height="2040" /></a><figcaption>Illustration from 1913 showing Pythagoras teaching a class of women. Many prominent members of his school were women<sup id="cite_ref-FOOTNOTEKahn20018_89-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20018-89"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPomeroy20131_90-0" class="reference"><a href="#cite_note-FOOTNOTEPomeroy20131-90"><span class="cite-bracket">[</span>84<span class="cite-bracket">]</span></a></sup> and some modern scholars think that he may have believed that women should be taught philosophy as well as men.<sup id="cite_ref-FOOTNOTEPomeroy2013xvi_91-0" class="reference"><a href="#cite_note-FOOTNOTEPomeroy2013xvi-91"><span class="cite-bracket">[</span>85<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>Diogenes Laërtius states that Pythagoras "did not indulge in the pleasures of love"<sup id="cite_ref-FOOTNOTEFerguson200858_92-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200858-92"><span class="cite-bracket">[</span>86<span class="cite-bracket">]</span></a></sup> and that he cautioned others to only have sex "whenever you are willing to be weaker than yourself".<sup id="cite_ref-FOOTNOTEFerguson200859_93-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> According to Porphyry, Pythagoras married <a href="/wiki/Theano_(philosopher)" title="Theano (philosopher)">Theano</a>, a lady of <a href="/wiki/Crete" title="Crete">Crete</a> and the daughter of Pythenax<sup id="cite_ref-FOOTNOTEFerguson200859_93-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> and had several children with her.<sup id="cite_ref-FOOTNOTEFerguson200859_93-2" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> Porphyry writes that Pythagoras had two sons named <a href="/wiki/Telauges" title="Telauges">Telauges</a> and <a href="/wiki/Arignote" title="Arignote">Arignote</a>,<sup id="cite_ref-FOOTNOTEFerguson200859_93-3" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> and a daughter named Myia,<sup id="cite_ref-FOOTNOTEFerguson200859_93-4" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> who "took precedence among the maidens in Croton and, when a wife, among married women."<sup id="cite_ref-FOOTNOTEFerguson200859_93-5" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> Iamblichus mentions none of these children<sup id="cite_ref-FOOTNOTEFerguson200859_93-6" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> and instead only mentions a son named Mnesarchus after his grandfather.<sup id="cite_ref-FOOTNOTEFerguson200859_93-7" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> This son was raised by Pythagoras's appointed successor Aristaeus and eventually took over the school when Aristaeus was too old to continue running it.<sup id="cite_ref-FOOTNOTEFerguson200859_93-8" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Suda" title="Suda">Suda</a> writes that Pythagoras had 4 children (Telauges, Mnesarchus, Myia and Arignote).<sup id="cite_ref-94" class="reference"><a href="#cite_note-94"><span class="cite-bracket">[</span>88<span class="cite-bracket">]</span></a></sup> </p><p>The wrestler <a href="/wiki/Milo_of_Croton" title="Milo of Croton">Milo of Croton</a> was said to have been a close associate of Pythagoras<sup id="cite_ref-FOOTNOTERiedweg20055–6,_59,_73_95-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20055–6,_59,_73-95"><span class="cite-bracket">[</span>89<span class="cite-bracket">]</span></a></sup> and was credited with having saved the philosopher's life when a roof was about to collapse.<sup id="cite_ref-FOOTNOTERiedweg20055–6,_59,_73_95-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20055–6,_59,_73-95"><span class="cite-bracket">[</span>89<span class="cite-bracket">]</span></a></sup> This association may have been the result of confusion with a different man named Pythagoras, who was an athletics trainer.<sup id="cite_ref-FOOTNOTERiedweg200510_75-6" class="reference"><a href="#cite_note-FOOTNOTERiedweg200510-75"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius records Milo's wife's name as Myia.<sup id="cite_ref-FOOTNOTEFerguson200859_93-9" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> Iamblichus mentions Theano as the wife of Brontinus of Croton.<sup id="cite_ref-FOOTNOTEFerguson200859_93-10" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius states that the same Theano was Pythagoras's pupil<sup id="cite_ref-FOOTNOTEFerguson200859_93-11" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> and that Pythagoras's wife Theano was her daughter.<sup id="cite_ref-FOOTNOTEFerguson200859_93-12" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius also records that works supposedly written by Theano were still extant during his own lifetime<sup id="cite_ref-FOOTNOTEFerguson200859_93-13" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> and quotes several opinions attributed to her.<sup id="cite_ref-FOOTNOTEFerguson200859_93-14" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> These writings are now known to be <a href="/wiki/Pseudepigraphica" class="mw-redirect" title="Pseudepigraphica">pseudepigraphical</a>.<sup id="cite_ref-FOOTNOTEFerguson200859_93-15" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Death">Death</h3></div> <p>Pythagoras's emphasis on dedication and asceticism are credited with aiding in Croton's decisive victory over the neighboring colony of <a href="/wiki/Sybaris" title="Sybaris">Sybaris</a> in 510 BC.<sup id="cite_ref-FOOTNOTEKahn20016–7_96-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20016–7-96"><span class="cite-bracket">[</span>90<span class="cite-bracket">]</span></a></sup> After the victory, some prominent citizens of Croton proposed a <a href="/wiki/Greek_democracy" title="Greek democracy">democratic constitution</a>, which the Pythagoreans rejected.<sup id="cite_ref-FOOTNOTEKahn20016–7_96-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20016–7-96"><span class="cite-bracket">[</span>90<span class="cite-bracket">]</span></a></sup> The supporters of democracy, headed by <a href="/wiki/Cylon_of_Croton" title="Cylon of Croton">Cylon</a> and Ninon, the former of whom is said to have been irritated by his exclusion from Pythagoras's brotherhood, roused the populace against them.<sup id="cite_ref-FOOTNOTERiedweg200519_97-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200519-97"><span class="cite-bracket">[</span>91<span class="cite-bracket">]</span></a></sup> Followers of Cylon and Ninon attacked the Pythagoreans during one of their meetings, either in the house of Milo or in some other meeting-place.<sup id="cite_ref-FOOTNOTEKahn20017_98-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20017-98"><span class="cite-bracket">[</span>92<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200519–20_99-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200519–20-99"><span class="cite-bracket">[</span>93<span class="cite-bracket">]</span></a></sup> Accounts of the attack are often contradictory and many probably confused it with the later anti-Pythagorean rebellions, such as the one in Metapontum in 454 BC.<sup id="cite_ref-FOOTNOTERiedweg200519_97-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200519-97"><span class="cite-bracket">[</span>91<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPlutarch,_de_Gen._Socr419§583a_100-0" class="reference"><a href="#cite_note-FOOTNOTEPlutarch,_de_Gen._Socr419§583a-100"><span class="cite-bracket">[</span>94<span class="cite-bracket">]</span></a></sup> The building was apparently set on fire,<sup id="cite_ref-FOOTNOTEKahn20017_98-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20017-98"><span class="cite-bracket">[</span>92<span class="cite-bracket">]</span></a></sup> and many of the assembled members perished;<sup id="cite_ref-FOOTNOTEKahn20017_98-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20017-98"><span class="cite-bracket">[</span>92<span class="cite-bracket">]</span></a></sup> only the younger and more active members managed to escape.<sup id="cite_ref-101" class="reference"><a href="#cite_note-101"><span class="cite-bracket">[</span>95<span class="cite-bracket">]</span></a></sup> </p><p>Sources disagree regarding whether Pythagoras was present when the attack occurred and, if he was, whether or not he managed to escape.<sup id="cite_ref-FOOTNOTEBurkert1972106_32-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972106-32"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200519–20_99-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200519–20-99"><span class="cite-bracket">[</span>93<span class="cite-bracket">]</span></a></sup> In some accounts, Pythagoras was not at the meeting when the Pythagoreans were attacked because he was on Delos tending to the dying Pherecydes.<sup id="cite_ref-FOOTNOTERiedweg200519–20_99-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200519–20-99"><span class="cite-bracket">[</span>93<span class="cite-bracket">]</span></a></sup> According to another account from Dicaearchus, Pythagoras was at the meeting and managed to escape,<sup id="cite_ref-FOOTNOTERiedweg200520_102-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup> leading a small group of followers to the nearby city of <a href="/wiki/Locris" title="Locris">Locris</a>, where they pleaded for sanctuary, but were denied.<sup id="cite_ref-FOOTNOTERiedweg200520_102-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup> They reached the city of <a href="/wiki/Metapontum" title="Metapontum">Metapontum</a>, where they took shelter in the temple of the <a href="/wiki/Muses" title="Muses">Muses</a> and died there of starvation after forty days without food.<sup id="cite_ref-FOOTNOTEBurkert1972106_32-2" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972106-32"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20017_98-3" class="reference"><a href="#cite_note-FOOTNOTEKahn20017-98"><span class="cite-bracket">[</span>92<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200520_102-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGrant1989278_103-0" class="reference"><a href="#cite_note-FOOTNOTEGrant1989278-103"><span class="cite-bracket">[</span>97<span class="cite-bracket">]</span></a></sup> Another tale recorded by Porphyry claims that, as Pythagoras's enemies were burning the house, his devoted students laid down on the ground to make a path for him to escape by walking over their bodies across the flames like a bridge.<sup id="cite_ref-FOOTNOTERiedweg200520_102-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup> Pythagoras managed to escape, but was so despondent at the deaths of his beloved students that he committed suicide.<sup id="cite_ref-FOOTNOTERiedweg200520_102-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup> A different legend reported by both Diogenes Laërtius and Iamblichus states that Pythagoras almost managed to escape, but that he came to a fava bean field and refused to run through it, since doing so would violate his teachings, so he stopped instead and was killed.<sup id="cite_ref-FOOTNOTERiedweg200520_102-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTESimoons1998225–228_104-0" class="reference"><a href="#cite_note-FOOTNOTESimoons1998225–228-104"><span class="cite-bracket">[</span>98<span class="cite-bracket">]</span></a></sup> This story seems to have originated from the writer Neanthes, who told it about later Pythagoreans, not about Pythagoras himself.<sup id="cite_ref-FOOTNOTERiedweg200520_102-6" class="reference"><a href="#cite_note-FOOTNOTERiedweg200520-102"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Teachings">Teachings</h2></div> <div class="mw-heading mw-heading3"><h3 id="Metempsychosis">Metempsychosis</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg" class="mw-file-description"><img alt="Scene from Raphael's School of Athens showing Pythagoras as a balding, bearded man writing in a book with a quill. He is dressed in a long-sleeved tunic with a cloak spread across his legs as he kneels to write, using his left thigh to support the book. In front of him, a boy with long hair presents him with a chalk board showing a diagrammatic representation of a lyre above the symbol of the tetractys. Averroes, shown as a stereotypical Middle Easterner with a mustache and wearing a turban, peers over his left shoulder while another bearded, balding philosopher in classical garb, probably Anaxagoras, peers over his right shoulder, taking notes into a much smaller notepad. A very feminine looking figure with long hair stands behind the boy, dressed in a white cloak." src="//upload.wikimedia.org/wikipedia/commons/thumb/1/18/Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg/290px-Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg" decoding="async" width="290" height="314" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/18/Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg/435px-Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/18/Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg/580px-Cropped_image_of_Pythagoras_from_Raphael%27s_School_of_Athens.jpg 2x" data-file-width="744" data-file-height="806" /></a><figcaption>In <a href="/wiki/Raphael" title="Raphael">Raphael</a>'s fresco <i><a href="/wiki/The_School_of_Athens" title="The School of Athens">The School of Athens</a></i>, Pythagoras is shown writing in a book as a young man presents him with a tablet showing a <a href="/wiki/Diagram" title="Diagram">diagrammatic</a> representation of a <a href="/wiki/Lyre" title="Lyre">lyre</a> above a drawing of the sacred <i><a href="/wiki/Tetractys" title="Tetractys">tetractys</a></i>.<sup id="cite_ref-FOOTNOTEBruhn200566_105-0" class="reference"><a href="#cite_note-FOOTNOTEBruhn200566-105"><span class="cite-bracket">[</span>99<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>Although the exact details of Pythagoras's teachings are uncertain,<sup id="cite_ref-FOOTNOTEBurkert1972106–109_106-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972106–109-106"><span class="cite-bracket">[</span>100<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20015–6_107-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20015–6-107"><span class="cite-bracket">[</span>101<span class="cite-bracket">]</span></a></sup> it is possible to reconstruct a general outline of his main ideas.<sup id="cite_ref-FOOTNOTEBurkert1972106–109_106-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972106–109-106"><span class="cite-bracket">[</span>100<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20019–11_108-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20019–11-108"><span class="cite-bracket">[</span>102<span class="cite-bracket">]</span></a></sup> Aristotle writes at length about the teachings of the Pythagoreans,<sup id="cite_ref-FOOTNOTECopleston200331_16-1" class="reference"><a href="#cite_note-FOOTNOTECopleston200331-16"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBurkert197229–30_109-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert197229–30-109"><span class="cite-bracket">[</span>103<span class="cite-bracket">]</span></a></sup> but without mentioning Pythagoras directly.<sup id="cite_ref-FOOTNOTECopleston200331_16-2" class="reference"><a href="#cite_note-FOOTNOTECopleston200331-16"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBurkert197229–30_109-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert197229–30-109"><span class="cite-bracket">[</span>103<span class="cite-bracket">]</span></a></sup> One of Pythagoras's main doctrines appears to have been <i><a href="/wiki/Metempsychosis" title="Metempsychosis">metempsychosis</a></i>,<sup id="cite_ref-FOOTNOTEFerguson20085_78-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson20085-78"><span class="cite-bracket">[</span>72<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn200111_110-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200111-110"><span class="cite-bracket">[</span>104<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEZhmud2012232_111-0" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012232-111"><span class="cite-bracket">[</span>105<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBurkert1985300–301_112-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1985300–301-112"><span class="cite-bracket">[</span>106<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201524–25_113-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201524–25-113"><span class="cite-bracket">[</span>107<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECopleston200330–31_114-0" class="reference"><a href="#cite_note-FOOTNOTECopleston200330–31-114"><span class="cite-bracket">[</span>108<span class="cite-bracket">]</span></a></sup> the belief that all <a href="/wiki/Soul" title="Soul">souls</a> are immortal and that, after death, a soul is transferred into a new body.<sup id="cite_ref-FOOTNOTEKahn200111_110-1" class="reference"><a href="#cite_note-FOOTNOTEKahn200111-110"><span class="cite-bracket">[</span>104<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201524–25_113-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201524–25-113"><span class="cite-bracket">[</span>107<span class="cite-bracket">]</span></a></sup> This teaching is referenced by Xenophanes, Ion of Chios, and Herodotus.<sup id="cite_ref-FOOTNOTEKahn200111_110-2" class="reference"><a href="#cite_note-FOOTNOTEKahn200111-110"><span class="cite-bracket">[</span>104<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-115" class="reference"><a href="#cite_note-115"><span class="cite-bracket">[</span>109<span class="cite-bracket">]</span></a></sup> Nothing whatsoever, however, is known about the nature or mechanism by which Pythagoras believed metempsychosis to occur.<sup id="cite_ref-FOOTNOTEGregory201525_116-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201525-116"><span class="cite-bracket">[</span>110<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Empedocles" title="Empedocles">Empedocles</a> alludes in one of his poems that Pythagoras may have claimed to possess the ability to recall his former incarnations.<sup id="cite_ref-FOOTNOTEKahn200112_117-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200112-117"><span class="cite-bracket">[</span>111<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius reports an account from <a href="/wiki/Heraclides_Ponticus" title="Heraclides Ponticus">Heraclides Ponticus</a> that Pythagoras told people that he had lived four previous lives that he could remember in detail.<sup id="cite_ref-FOOTNOTEDiog_VIII§1.3–§1.5_118-0" class="reference"><a href="#cite_note-FOOTNOTEDiog_VIII§1.3–§1.5-118"><span class="cite-bracket">[</span>112<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013164–167_119-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013164–167-119"><span class="cite-bracket">[</span>113<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-120" class="reference"><a href="#cite_note-120"><span class="cite-bracket">[</span>114<span class="cite-bracket">]</span></a></sup> The first of these lives was as <a href="/wiki/Aethalides" class="mw-redirect" title="Aethalides">Aethalides</a> the son of <a href="/wiki/Hermes" title="Hermes">Hermes</a>, who granted him the ability to remember all his past incarnations.<sup id="cite_ref-FOOTNOTECornelliMcKirahan2013164–165_121-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013164–165-121"><span class="cite-bracket">[</span>115<span class="cite-bracket">]</span></a></sup> Next, he was incarnated as <a href="/wiki/Euphorbus" title="Euphorbus">Euphorbus</a>, a minor hero from the <a href="/wiki/Trojan_War" title="Trojan War">Trojan War</a> briefly mentioned in the <i><a href="/wiki/Iliad" title="Iliad">Iliad</a></i>.<sup id="cite_ref-FOOTNOTECornelliMcKirahan2013165–166_122-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013165–166-122"><span class="cite-bracket">[</span>116<span class="cite-bracket">]</span></a></sup> He then became the philosopher <a href="/wiki/Hermotimus_of_Clazomenae" title="Hermotimus of Clazomenae">Hermotimus</a>,<sup id="cite_ref-FOOTNOTECornelliMcKirahan2013167_123-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013167-123"><span class="cite-bracket">[</span>117<span class="cite-bracket">]</span></a></sup> who recognized the shield of Euphorbus in the temple of Apollo.<sup id="cite_ref-FOOTNOTECornelliMcKirahan2013167_123-1" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013167-123"><span class="cite-bracket">[</span>117<span class="cite-bracket">]</span></a></sup> His final incarnation was as Pyrrhus, a fisherman from <a href="/wiki/Delos" title="Delos">Delos</a>.<sup id="cite_ref-FOOTNOTECornelliMcKirahan2013167_123-2" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013167-123"><span class="cite-bracket">[</span>117<span class="cite-bracket">]</span></a></sup> One of his past lives, as reported by <a href="/wiki/Dicaearchus" title="Dicaearchus">Dicaearchus</a>, was as a beautiful courtesan.<sup id="cite_ref-FOOTNOTEZhmud2012232_111-1" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012232-111"><span class="cite-bracket">[</span>105<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-124" class="reference"><a href="#cite_note-124"><span class="cite-bracket">[</span>118<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Mysticism">Mysticism</h3></div> <p>Another belief attributed to Pythagoras was that of the "<a href="/wiki/Musica_universalis" title="Musica universalis">harmony of the spheres</a>",<sup id="cite_ref-FOOTNOTERiedweg200529–30_125-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200529–30-125"><span class="cite-bracket">[</span>119<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201538–39_126-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201538–39-126"><span class="cite-bracket">[</span>120<span class="cite-bracket">]</span></a></sup> which maintained that the planets and stars move according to mathematical equations, which correspond to musical notes and thus produce an inaudible symphony.<sup id="cite_ref-FOOTNOTERiedweg200529–30_125-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200529–30-125"><span class="cite-bracket">[</span>119<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201538–39_126-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201538–39-126"><span class="cite-bracket">[</span>120<span class="cite-bracket">]</span></a></sup> According to Porphyry, Pythagoras taught that the seven <a href="/wiki/Muse" class="mw-redirect" title="Muse">Muses</a> were actually the <a href="/wiki/Classical_planet" title="Classical planet">seven planets</a> singing together.<sup id="cite_ref-FOOTNOTERiedweg200530_127-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200530-127"><span class="cite-bracket">[</span>121<span class="cite-bracket">]</span></a></sup> In his philosophical dialogue <a href="/wiki/Protrepticus_(Aristotle)" title="Protrepticus (Aristotle)"><i>Protrepticus</i></a>, <a href="/wiki/Aristotle" title="Aristotle">Aristotle</a> has his literary double say: </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>When Pythagoras was asked [why humans exist], he said, "to observe the heavens", and he used to claim that he himself was an observer of nature, and it was for the sake of this that he had passed over into life.</p><div class="templatequotecite">— <cite><a href="#CITEREFAristot._Protrepticus">Aristot. Protrepticus</a>, p. 48</cite></div></blockquote> <p>Pythagoras was said to have practiced <a href="/wiki/Divination" title="Divination">divination</a> and <a href="/wiki/Prophecy" title="Prophecy">prophecy</a>.<sup id="cite_ref-128" class="reference"><a href="#cite_note-128"><span class="cite-bracket">[</span>122<span class="cite-bracket">]</span></a></sup> The earliest mentions of divination by <a href="/wiki/Isopsephy" title="Isopsephy">isopsephy</a> in Greek literature associate it with Pythagoras; he was viewed as the founder of this practice.<sup id="cite_ref-129" class="reference"><a href="#cite_note-129"><span class="cite-bracket">[</span>123<span class="cite-bracket">]</span></a></sup> According to his biographer, Iamblichus, he taught his method of divination to a Scythian priest of Apollo by the name of <a href="/wiki/Abaris_the_Hyperborean" title="Abaris the Hyperborean">Abaris the Hyperborean</a>:<sup id="cite_ref-FOOTNOTEBarry199930–31_130-0" class="reference"><a href="#cite_note-FOOTNOTEBarry199930–31-130"><span class="cite-bracket">[</span>124<span class="cite-bracket">]</span></a></sup> </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>Abaris stayed with Pythagoras, and was compendiously taught physiology and theology; and instead of divining by the entrails of beasts, he revealed to him the art of prognosticating by numbers, conceiving this to be a method purer, more divine, and more kindred to the celestial numbers of the Gods.</p><div class="templatequotecite">— <cite><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §19.93</cite></div></blockquote> <p>This shouldn't be confused with a simplified version known today as "<a href="/wiki/Numerology#Pythagorean_method" title="Numerology">Pythagorean numerology</a>", involving a variant of an isopsephic technique known – among other names – as <span title="Ancient Greek (to 1453)-language text"><i lang="grc">pythmenes</i></span> <span class="gloss-quot">'</span><span class="gloss-text">roots</span><span class="gloss-quot">'</span><sup id="cite_ref-pythmenes1_131-0" class="reference"><a href="#cite_note-pythmenes1-131"><span class="cite-bracket">[</span>125<span class="cite-bracket">]</span></a></sup> or <span class="gloss-quot">'</span><span class="gloss-text">base numbers</span><span class="gloss-quot">'</span>,<sup id="cite_ref-132" class="reference"><a href="#cite_note-132"><span class="cite-bracket">[</span>126<span class="cite-bracket">]</span></a></sup> by means of which the base values of letters in a word were mathematically reduced by addition or division, in order to obtain a single value from one to nine for the whole name or word;<sup id="cite_ref-pythmenes1_131-1" class="reference"><a href="#cite_note-pythmenes1-131"><span class="cite-bracket">[</span>125<span class="cite-bracket">]</span></a></sup> these 'roots' or 'base numbers' could then be interpreted with other techniques, such as traditional Pythagorean attributions.<sup id="cite_ref-pythmenes2_133-0" class="reference"><a href="#cite_note-pythmenes2-133"><span class="cite-bracket">[</span>127<span class="cite-bracket">]</span></a></sup> This latter form of numerology flourished during the <a href="/wiki/Byzantine_Empire" title="Byzantine Empire">Byzantine era</a>, and was first attested among the <a href="/wiki/Gnosticism" title="Gnosticism">Gnostics</a> of the second century AD.<sup id="cite_ref-pythmenes2_133-1" class="reference"><a href="#cite_note-pythmenes2-133"><span class="cite-bracket">[</span>127<span class="cite-bracket">]</span></a></sup> By that time, isopsephy had developed into several different techniques that were used for a variety of purposes; including divination, doctrinal allegory, and medical prognosis and treatment.<sup id="cite_ref-pythmenes2_133-2" class="reference"><a href="#cite_note-pythmenes2-133"><span class="cite-bracket">[</span>127<span class="cite-bracket">]</span></a></sup> </p><p>In the visits to various places in Greece—<a href="/wiki/Delos" title="Delos">Delos</a>, <a href="/wiki/Sparta" title="Sparta">Sparta</a>, <a href="/wiki/Phlius" title="Phlius">Phlius</a>, <a href="/wiki/Crete" title="Crete">Crete</a>, etc.—which are ascribed to him, he usually appears either in his religious or priestly guise, or else as a lawgiver.<sup id="cite_ref-134" class="reference"><a href="#cite_note-134"><span class="cite-bracket">[</span>128<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Numerology">Numerology</h3></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>The so-called Pythagoreans applied themselves to mathematics, and were the first to develop this science; and through studying it they came to believe that its principles are the principles of everything.</p><div class="templatequotecite">— <cite><a href="#CITEREFAristot._Met._1">Aristot. Met. 1</a>, 985b</cite></div></blockquote> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Tetractys.svg" class="mw-file-description"><img alt="Diagram showing the tetractys, an equilateral triangle made up of ten dots, with one dot in the top row, two in the second, three in the third, and four in the bottom." src="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Tetractys.svg/220px-Tetractys.svg.png" decoding="async" width="220" height="184" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Tetractys.svg/330px-Tetractys.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/66/Tetractys.svg/440px-Tetractys.svg.png 2x" data-file-width="338" data-file-height="283" /></a><figcaption>Pythagoras is credited with having devised the <a href="/wiki/Tetractys" title="Tetractys">tetractys</a>,<sup id="cite_ref-FOOTNOTEBruhn200565–66_135-0" class="reference"><a href="#cite_note-FOOTNOTEBruhn200565–66-135"><span class="cite-bracket">[</span>129<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201528–29_136-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201528–29-136"><span class="cite-bracket">[</span>130<span class="cite-bracket">]</span></a></sup> an important <a href="/wiki/Religious_symbol" title="Religious symbol">sacred symbol</a> in later Pythagoreanism.<sup id="cite_ref-FOOTNOTERiedweg200529_137-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200529-137"><span class="cite-bracket">[</span>131<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20011–2_138-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20011–2-138"><span class="cite-bracket">[</span>132<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>According to Aristotle, the Pythagoreans used mathematics for solely mystical reasons, devoid of practical application.<sup id="cite_ref-FOOTNOTEBurkert1972467–468_139-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972467–468-139"><span class="cite-bracket">[</span>133<span class="cite-bracket">]</span></a></sup> They believed that all things were made of numbers.<sup id="cite_ref-FOOTNOTEBurkert1972265_140-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972265-140"><span class="cite-bracket">[</span>134<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn200127_141-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200127-141"><span class="cite-bracket">[</span>135<span class="cite-bracket">]</span></a></sup> The number one (the <a href="/wiki/Monad_(philosophy)" title="Monad (philosophy)">monad</a>) represented the origin of all things<sup id="cite_ref-FOOTNOTERiedweg200523_142-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200523-142"><span class="cite-bracket">[</span>136<span class="cite-bracket">]</span></a></sup> and the number two (the <a href="/wiki/Dyad_(Greek_philosophy)" class="mw-redirect" title="Dyad (Greek philosophy)">dyad</a>) represented matter.<sup id="cite_ref-FOOTNOTERiedweg200523_142-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200523-142"><span class="cite-bracket">[</span>136<span class="cite-bracket">]</span></a></sup> The number three was an "ideal number" because it had a beginning, middle, and end<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006170–172_143-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006170–172-143"><span class="cite-bracket">[</span>137<span class="cite-bracket">]</span></a></sup> and was the smallest number of points that could be used to define a plane triangle, which they revered as a symbol of the god <a href="/wiki/Apollo" title="Apollo">Apollo</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006170–172_143-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006170–172-143"><span class="cite-bracket">[</span>137<span class="cite-bracket">]</span></a></sup> The number four signified the <a href="/wiki/Seasons" class="mw-redirect" title="Seasons">four seasons</a> and the <a href="/wiki/Classical_element" title="Classical element">four elements</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006172_144-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006172-144"><span class="cite-bracket">[</span>138<span class="cite-bracket">]</span></a></sup> The number seven was also sacred because it was the number of planets and the number of strings on a lyre,<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006172_144-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006172-144"><span class="cite-bracket">[</span>138<span class="cite-bracket">]</span></a></sup> and because Apollo's birthday was celebrated on the seventh day of each month.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006172_144-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006172-144"><span class="cite-bracket">[</span>138<span class="cite-bracket">]</span></a></sup> They believed that <a href="/wiki/Parity_(mathematics)" title="Parity (mathematics)">odd numbers</a> were <a href="/wiki/Masculine" class="mw-redirect" title="Masculine">masculine</a>,<sup id="cite_ref-FOOTNOTEBurkert1972433_145-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972433-145"><span class="cite-bracket">[</span>139<span class="cite-bracket">]</span></a></sup> that even numbers were <a href="/wiki/Feminine" class="mw-redirect" title="Feminine">feminine</a>,<sup id="cite_ref-FOOTNOTEBurkert1972433_145-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972433-145"><span class="cite-bracket">[</span>139<span class="cite-bracket">]</span></a></sup> and that the number five represented marriage, because it was the sum of two and three.<sup id="cite_ref-FOOTNOTEBurkert1972467_146-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972467-146"><span class="cite-bracket">[</span>140<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier2006170_147-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006170-147"><span class="cite-bracket">[</span>141<span class="cite-bracket">]</span></a></sup> </p><p>Ten was regarded as the "perfect number"<sup id="cite_ref-FOOTNOTEBurkert1972467–468_139-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972467–468-139"><span class="cite-bracket">[</span>133<span class="cite-bracket">]</span></a></sup> and the Pythagoreans honored it by never gathering in groups larger than ten.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006161_148-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006161-148"><span class="cite-bracket">[</span>142<span class="cite-bracket">]</span></a></sup> Pythagoras was credited with devising the <a href="/wiki/Tetractys" title="Tetractys">tetractys</a>, the triangular figure of four rows which add up to the perfect number, ten.<sup id="cite_ref-FOOTNOTEBruhn200565–66_135-1" class="reference"><a href="#cite_note-FOOTNOTEBruhn200565–66-135"><span class="cite-bracket">[</span>129<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201528–29_136-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201528–29-136"><span class="cite-bracket">[</span>130<span class="cite-bracket">]</span></a></sup> The Pythagoreans regarded the tetractys as a symbol of utmost mystical importance.<sup id="cite_ref-FOOTNOTEBruhn200565–66_135-2" class="reference"><a href="#cite_note-FOOTNOTEBruhn200565–66-135"><span class="cite-bracket">[</span>129<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201528–29_136-2" class="reference"><a href="#cite_note-FOOTNOTEGregory201528–29-136"><span class="cite-bracket">[</span>130<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200529_137-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200529-137"><span class="cite-bracket">[</span>131<span class="cite-bracket">]</span></a></sup> Iamblichus, in his <i>Life of Pythagoras</i>, states that the tetractys was "so admirable, and so divinised by those who understood [it]," that Pythagoras's students would swear oaths by it.<sup id="cite_ref-FOOTNOTEBruhn200566_105-1" class="reference"><a href="#cite_note-FOOTNOTEBruhn200566-105"><span class="cite-bracket">[</span>99<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201528–29_136-3" class="reference"><a href="#cite_note-FOOTNOTEGregory201528–29-136"><span class="cite-bracket">[</span>130<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200529_137-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200529-137"><span class="cite-bracket">[</span>131<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEIamblichus,_Vit._Pyth§29_149-0" class="reference"><a href="#cite_note-FOOTNOTEIamblichus,_Vit._Pyth§29-149"><span class="cite-bracket">[</span>143<span class="cite-bracket">]</span></a></sup> Andrew Gregory concludes that the tradition linking Pythagoras to the tetractys is probably genuine.<sup id="cite_ref-FOOTNOTEGregory201528_150-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201528-150"><span class="cite-bracket">[</span>144<span class="cite-bracket">]</span></a></sup> </p><p>Modern scholars debate whether these numerological teachings were developed by Pythagoras himself or by the later Pythagorean philosopher <a href="/wiki/Philolaus_of_Croton" class="mw-redirect" title="Philolaus of Croton">Philolaus of Croton</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200687–88_151-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200687–88-151"><span class="cite-bracket">[</span>145<span class="cite-bracket">]</span></a></sup> In his landmark study <i>Lore and Science in Ancient Pythagoreanism</i>, Walter Burkert argues that Pythagoras was a charismatic political and religious teacher,<sup id="cite_ref-FOOTNOTEKahn20012–3_152-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20012–3-152"><span class="cite-bracket">[</span>146<span class="cite-bracket">]</span></a></sup> but that the number philosophy attributed to him was really an innovation by Philolaus.<sup id="cite_ref-FOOTNOTEKahn20013_153-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20013-153"><span class="cite-bracket">[</span>147<span class="cite-bracket">]</span></a></sup> According to Burkert, Pythagoras never dealt with numbers at all, let alone made any noteworthy contribution to mathematics.<sup id="cite_ref-FOOTNOTEKahn20012–3_152-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20012–3-152"><span class="cite-bracket">[</span>146<span class="cite-bracket">]</span></a></sup> Burkert argues that the only mathematics the Pythagoreans ever actually engaged in was simple, <a href="/wiki/Mathematical_proof" title="Mathematical proof">proofless</a> <a href="/wiki/Arithmetic" title="Arithmetic">arithmetic</a>,<sup id="cite_ref-FOOTNOTEBurkert1972428–433_154-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972428–433-154"><span class="cite-bracket">[</span>148<span class="cite-bracket">]</span></a></sup> but that these arithmetic discoveries did contribute significantly to the beginnings of mathematics.<sup id="cite_ref-FOOTNOTEBurkert1972465_155-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972465-155"><span class="cite-bracket">[</span>149<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Pythagoreanism">Pythagoreanism</h2></div> <div class="mw-heading mw-heading3"><h3 id="Communal_lifestyle">Communal lifestyle</h3></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Bronnikov_gimnpifagoreizev.jpg" class="mw-file-description"><img alt="Painting showing a group of people dressed in white classical garb standing at the edge of a cliff overlooking the sea watching as the sun rises. The central figure, probably Pythagoras himself, is turned away from our view towards the sunrise. He has long braids and his long beard is partially visible from the side. Both of his arms are raised into the air. The three men closest to him, two on his left and one on his right, are kneeling and making frantic gestures, possibly weeping. Behind them, an older man plays a harp and two women play lyres. A young man without a beard and an middle-aged man with a beard play lyres as well, while another young man plays the aulos. A man in the foreground at the back of the group kneels prayerfully towards the sunrise. In the background, at the far left side of the painting, a woman, a girl, a boy, and a young, naked child watch the Pythagoreans. The woman and the girl are carrying pots, indicating they have been fetching water." src="//upload.wikimedia.org/wikipedia/commons/thumb/5/56/Bronnikov_gimnpifagoreizev.jpg/330px-Bronnikov_gimnpifagoreizev.jpg" decoding="async" width="330" height="203" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/56/Bronnikov_gimnpifagoreizev.jpg/495px-Bronnikov_gimnpifagoreizev.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/56/Bronnikov_gimnpifagoreizev.jpg/660px-Bronnikov_gimnpifagoreizev.jpg 2x" data-file-width="2112" data-file-height="1300" /></a><figcaption><i>Pythagoreans Celebrate the Sunrise</i> (1869) by <a href="/wiki/Fyodor_Bronnikov" title="Fyodor Bronnikov">Fyodor Bronnikov</a></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Pythagoreanism" title="Pythagoreanism">Pythagoreanism</a></div> <p>Both <a href="/wiki/Plato" title="Plato">Plato</a> and <a href="/wiki/Isocrates" title="Isocrates">Isocrates</a> state that, above all else, Pythagoras was known as the founder of a new way of life.<sup id="cite_ref-156" class="reference"><a href="#cite_note-156"><span class="cite-bracket">[</span>150<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013168_157-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013168-157"><span class="cite-bracket">[</span>151<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGrant1989277_158-0" class="reference"><a href="#cite_note-FOOTNOTEGrant1989277-158"><span class="cite-bracket">[</span>152<span class="cite-bracket">]</span></a></sup> The organization Pythagoras founded at Croton was called a "school",<sup id="cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§19_159-0" class="reference"><a href="#cite_note-FOOTNOTEPorphyry,_Vit._Pyth§19-159"><span class="cite-bracket">[</span>153<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-160" class="reference"><a href="#cite_note-160"><span class="cite-bracket">[</span>154<span class="cite-bracket">]</span></a></sup> but, in many ways, resembled a <a href="/wiki/Monastery" title="Monastery">monastery</a>.<sup id="cite_ref-FOOTNOTERiedweg200531_161-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200531-161"><span class="cite-bracket">[</span>155<span class="cite-bracket">]</span></a></sup> The adherents were bound by a <a href="/wiki/Vow" title="Vow">vow</a> to Pythagoras and each other, for the purpose of pursuing the <a href="/wiki/Religious" class="mw-redirect" title="Religious">religious</a> and <a href="/wiki/Ascetic" class="mw-redirect" title="Ascetic">ascetic</a> observances, and of studying his religious and <a href="/wiki/Philosophical" class="mw-redirect" title="Philosophical">philosophical</a> theories.<sup id="cite_ref-162" class="reference"><a href="#cite_note-162"><span class="cite-bracket">[</span>156<span class="cite-bracket">]</span></a></sup> The members of the sect <a href="/wiki/Community_ownership" title="Community ownership">shared all their possessions in common</a><sup id="cite_ref-FOOTNOTECornelliMcKirahan201365_163-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201365-163"><span class="cite-bracket">[</span>157<span class="cite-bracket">]</span></a></sup> and were devoted to each other to the exclusion of outsiders.<sup id="cite_ref-164" class="reference"><a href="#cite_note-164"><span class="cite-bracket">[</span>158<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan201368–69_165-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201368–69-165"><span class="cite-bracket">[</span>159<span class="cite-bracket">]</span></a></sup> Ancient sources record that the Pythagoreans ate meals in common after the manner of the <a href="/wiki/Sparta" title="Sparta">Spartans</a>.<sup id="cite_ref-166" class="reference"><a href="#cite_note-166"><span class="cite-bracket">[</span>160<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200410_167-0" class="reference"><a href="#cite_note-FOOTNOTEKenny200410-167"><span class="cite-bracket">[</span>161<span class="cite-bracket">]</span></a></sup> One Pythagorean <a href="/wiki/Maxim_(literature)" class="mw-redirect" title="Maxim (literature)">maxim</a> was "<i>koinà tà phílōn</i>" ("All things in common among friends").<sup id="cite_ref-FOOTNOTECornelliMcKirahan201365_163-1" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201365-163"><span class="cite-bracket">[</span>157<span class="cite-bracket">]</span></a></sup> Both Iamblichus and Porphyry provide detailed accounts of the organization of the school, although the primary interest of both writers is not historical accuracy, but rather to present Pythagoras as a divine figure, sent by the <a href="/wiki/Greek_gods" class="mw-redirect" title="Greek gods">gods</a> to benefit humankind.<sup id="cite_ref-168" class="reference"><a href="#cite_note-168"><span class="cite-bracket">[</span>162<span class="cite-bracket">]</span></a></sup> Iamblichus, in particular, presents the "Pythagorean Way of Life" as a pagan alternative to the Christian monastic communities of his own time.<sup id="cite_ref-FOOTNOTERiedweg200531_161-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200531-161"><span class="cite-bracket">[</span>155<span class="cite-bracket">]</span></a></sup> For Pythagoreans, the highest reward a human could attain was for their soul to join in the life of the gods and thus escape the cycle of reincarnation.<sup id="cite_ref-FOOTNOTEKahn200152_169-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200152-169"><span class="cite-bracket">[</span>163<span class="cite-bracket">]</span></a></sup> Two groups existed within early Pythagoreanism: the <i>mathematikoi</i> ("learners") and the <i>akousmatikoi</i> ("listeners").<sup id="cite_ref-FOOTNOTEZhmud20122,_16_67-1" class="reference"><a href="#cite_note-FOOTNOTEZhmud20122,_16-67"><span class="cite-bracket">[</span>61<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201531_170-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201531-170"><span class="cite-bracket">[</span>164<span class="cite-bracket">]</span></a></sup> The <i>akousmatikoi</i> are traditionally identified by scholars as "old believers" in mysticism, numerology, and religious teachings;<sup id="cite_ref-FOOTNOTEGregory201531_170-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201531-170"><span class="cite-bracket">[</span>164<span class="cite-bracket">]</span></a></sup> whereas the <i>mathematikoi</i> are traditionally identified as a more intellectual, modernist faction who were more rationalist and scientific.<sup id="cite_ref-FOOTNOTEGregory201531_170-2" class="reference"><a href="#cite_note-FOOTNOTEGregory201531-170"><span class="cite-bracket">[</span>164<span class="cite-bracket">]</span></a></sup> Gregory cautions that there was probably not a sharp distinction between them and that many Pythagoreans probably believed the two approaches were compatible.<sup id="cite_ref-FOOTNOTEGregory201531_170-3" class="reference"><a href="#cite_note-FOOTNOTEGregory201531-170"><span class="cite-bracket">[</span>164<span class="cite-bracket">]</span></a></sup> The study of mathematics and music may have been connected to the worship of Apollo.<sup id="cite_ref-171" class="reference"><a href="#cite_note-171"><span class="cite-bracket">[</span>165<span class="cite-bracket">]</span></a></sup> The Pythagoreans believed that music was a purification for the soul, just as medicine was a purification for the body.<sup id="cite_ref-FOOTNOTERiedweg200530_127-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200530-127"><span class="cite-bracket">[</span>121<span class="cite-bracket">]</span></a></sup> One anecdote of Pythagoras reports that when he encountered some drunken youths trying to break into the home of a virtuous woman, he sang a solemn tune with long <a href="/wiki/Spondee" title="Spondee">spondees</a> and the boys' "raging willfulness" was quelled.<sup id="cite_ref-FOOTNOTERiedweg200530_127-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200530-127"><span class="cite-bracket">[</span>121<span class="cite-bracket">]</span></a></sup> The Pythagoreans also placed particular emphasis on the importance of <a href="/wiki/Physical_exercise" class="mw-redirect" title="Physical exercise">physical exercise</a>;<sup id="cite_ref-FOOTNOTERiedweg200531_161-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200531-161"><span class="cite-bracket">[</span>155<span class="cite-bracket">]</span></a></sup> therapeutic <a href="/wiki/Dance" title="Dance">dancing</a>, daily morning walks along <a href="/wiki/Scenic_route" title="Scenic route">scenic routes</a>, and <a href="/wiki/Sport_of_athletics" title="Sport of athletics">athletics</a> were major components of the Pythagorean lifestyle.<sup id="cite_ref-FOOTNOTERiedweg200531_161-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg200531-161"><span class="cite-bracket">[</span>155<span class="cite-bracket">]</span></a></sup> Moments of contemplation at the beginning and end of each day were also advised.<sup id="cite_ref-FOOTNOTERiedweg200533–34_172-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200533–34-172"><span class="cite-bracket">[</span>166<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Prohibitions_and_regulations">Prohibitions and regulations</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Do_Not_Eat_Beans.jpg" class="mw-file-description"><img alt="Old manuscript illustration showing a cloaked and hooded man labelled "Pythagoras" raising his arms and turning his face away from a fava bean plant, labelled "Fabe."" src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Do_Not_Eat_Beans.jpg/220px-Do_Not_Eat_Beans.jpg" decoding="async" width="220" height="338" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Do_Not_Eat_Beans.jpg/330px-Do_Not_Eat_Beans.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b0/Do_Not_Eat_Beans.jpg/440px-Do_Not_Eat_Beans.jpg 2x" data-file-width="2606" data-file-height="4000" /></a><figcaption>French manuscript from 1512/1514, showing Pythagoras turning his face away from <a href="/wiki/Vicia_faba" title="Vicia faba">fava beans</a> in revulsion</figcaption></figure> <p>Pythagorean teachings were known as "symbols" (<i>symbola</i>)<sup id="cite_ref-FOOTNOTEKahn20018_89-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20018-89"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup> and members took a vow of silence that they would not reveal these symbols to non-members.<sup id="cite_ref-FOOTNOTEKahn20018_89-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20018-89"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013168_157-1" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013168-157"><span class="cite-bracket">[</span>151<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-173" class="reference"><a href="#cite_note-173"><span class="cite-bracket">[</span>167<span class="cite-bracket">]</span></a></sup> Those who did not obey the laws of the community were expelled<sup id="cite_ref-FOOTNOTECornelliMcKirahan201369_174-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201369-174"><span class="cite-bracket">[</span>168<span class="cite-bracket">]</span></a></sup> and the remaining members would erect <a href="/wiki/Tombstone" class="mw-redirect" title="Tombstone">tombstones</a> for them as though they had died.<sup id="cite_ref-FOOTNOTECornelliMcKirahan201369_174-1" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201369-174"><span class="cite-bracket">[</span>168<span class="cite-bracket">]</span></a></sup> A number of "oral sayings" (<i>akoúsmata</i>) attributed to Pythagoras have survived,<sup id="cite_ref-FOOTNOTECopleston200331_16-3" class="reference"><a href="#cite_note-FOOTNOTECopleston200331-16"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200564–67_175-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200564–67-175"><span class="cite-bracket">[</span>169<span class="cite-bracket">]</span></a></sup> dealing with how members of the Pythagorean community should perform sacrifices, how they should honor the gods, how they should "move from here", and how they should be buried.<sup id="cite_ref-FOOTNOTERiedweg200564_176-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200564-176"><span class="cite-bracket">[</span>170<span class="cite-bracket">]</span></a></sup> Many of these sayings emphasize the importance of ritual purity and avoiding defilement.<sup id="cite_ref-FOOTNOTERiedweg200565_177-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200565-177"><span class="cite-bracket">[</span>171<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECopleston200330–31_114-1" class="reference"><a href="#cite_note-FOOTNOTECopleston200330–31-114"><span class="cite-bracket">[</span>108<span class="cite-bracket">]</span></a></sup> For instance, a saying which Leonid Zhmud concludes can probably be genuinely traced back to Pythagoras himself forbids his followers from wearing woolen garments.<sup id="cite_ref-FOOTNOTEZhmud2012200_178-0" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012200-178"><span class="cite-bracket">[</span>172<span class="cite-bracket">]</span></a></sup> Other extant oral sayings forbid Pythagoreans from breaking bread, poking fires with swords, or picking up crumbs<sup id="cite_ref-FOOTNOTEKenny200410_167-1" class="reference"><a href="#cite_note-FOOTNOTEKenny200410-167"><span class="cite-bracket">[</span>161<span class="cite-bracket">]</span></a></sup> and teach that a person should always put the right sandal on before the left.<sup id="cite_ref-FOOTNOTEKenny200410_167-2" class="reference"><a href="#cite_note-FOOTNOTEKenny200410-167"><span class="cite-bracket">[</span>161<span class="cite-bracket">]</span></a></sup> The exact meanings of these sayings, however, are frequently obscure.<sup id="cite_ref-FOOTNOTERiedweg200565–67_179-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200565–67-179"><span class="cite-bracket">[</span>173<span class="cite-bracket">]</span></a></sup> Iamblichus preserves Aristotle's descriptions of the original, ritualistic intentions behind a few of these sayings,<sup id="cite_ref-FOOTNOTERiedweg200565–66_180-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200565–66-180"><span class="cite-bracket">[</span>174<span class="cite-bracket">]</span></a></sup> but these apparently later fell out of fashion, because Porphyry provides markedly different ethical-philosophical interpretations of them:<sup id="cite_ref-FOOTNOTERiedweg200566–67_181-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566–67-181"><span class="cite-bracket">[</span>175<span class="cite-bracket">]</span></a></sup> </p> <table class="wikitable"> <tbody><tr> <th>Pythagorean saying </th> <th>Original ritual purpose according to Aristotle/Iamblichus </th> <th>Porphyry's philosophical interpretation </th></tr> <tr> <td>"Do not take roads traveled by the public."<sup id="cite_ref-FOOTNOTERiedweg200566_182-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECopleston200331_16-4" class="reference"><a href="#cite_note-FOOTNOTECopleston200331-16"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> </td> <td>"Fear of being defiled by the impure"<sup id="cite_ref-FOOTNOTERiedweg200566_182-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td> <td>"with this he forbade following the opinions of the masses, yet to follow the ones of the few and the educated".<sup id="cite_ref-FOOTNOTERiedweg200566_182-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td>"and [do] not wear images of the gods on rings"<sup id="cite_ref-FOOTNOTERiedweg200566_182-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td> <td>"Fear of defiling them by wearing them."<sup id="cite_ref-FOOTNOTERiedweg200566_182-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td> <td>"One should not have the teaching and knowledge of the gods quickly at hand and visible [for everyone], nor communicate them to the masses."<sup id="cite_ref-FOOTNOTERiedweg200566_182-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td></tr> <tr> <td>"and pour libations for the gods from a drinking cup's handle [the 'ear']"<sup id="cite_ref-FOOTNOTERiedweg200566_182-6" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td> <td>"Efforts to keep the divine and the human strictly separate"<sup id="cite_ref-FOOTNOTERiedweg200566_182-7" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td> <td>"thereby he enigmatically hints that the gods should be honored and praised with music; for it goes through the ears".<sup id="cite_ref-FOOTNOTERiedweg200566_182-8" class="reference"><a href="#cite_note-FOOTNOTERiedweg200566-182"><span class="cite-bracket">[</span>176<span class="cite-bracket">]</span></a></sup> </td></tr></tbody></table> <p>New initiates were allegedly not permitted to meet Pythagoras until after they had completed a five-year initiation period,<sup id="cite_ref-FOOTNOTECornelliMcKirahan201364_76-3" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201364-76"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup> during which they were required to remain silent.<sup id="cite_ref-FOOTNOTECornelliMcKirahan201364_76-4" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan201364-76"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup> Sources indicate that Pythagoras himself was unusually progressive in his attitudes towards women<sup id="cite_ref-FOOTNOTEPomeroy2013xvi_91-1" class="reference"><a href="#cite_note-FOOTNOTEPomeroy2013xvi-91"><span class="cite-bracket">[</span>85<span class="cite-bracket">]</span></a></sup> and female members of Pythagoras's school appear to have played an active role in its operations.<sup id="cite_ref-FOOTNOTEKahn20018_89-3" class="reference"><a href="#cite_note-FOOTNOTEKahn20018-89"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPomeroy2013xvi_91-2" class="reference"><a href="#cite_note-FOOTNOTEPomeroy2013xvi-91"><span class="cite-bracket">[</span>85<span class="cite-bracket">]</span></a></sup> Iamblichus provides a list of 235 famous Pythagoreans,<sup id="cite_ref-FOOTNOTEPomeroy20131_90-1" class="reference"><a href="#cite_note-FOOTNOTEPomeroy20131-90"><span class="cite-bracket">[</span>84<span class="cite-bracket">]</span></a></sup> seventeen of whom are women.<sup id="cite_ref-FOOTNOTEPomeroy20131_90-2" class="reference"><a href="#cite_note-FOOTNOTEPomeroy20131-90"><span class="cite-bracket">[</span>84<span class="cite-bracket">]</span></a></sup> In later times, many prominent female philosophers contributed to the development of <a href="/wiki/Neopythagoreanism" title="Neopythagoreanism">Neopythagoreanism</a>.<sup id="cite_ref-FOOTNOTEPomeroy2013xvi–xvii_183-0" class="reference"><a href="#cite_note-FOOTNOTEPomeroy2013xvi–xvii-183"><span class="cite-bracket">[</span>177<span class="cite-bracket">]</span></a></sup> </p><p>Pythagoreanism also entailed a number of dietary prohibitions.<sup id="cite_ref-FOOTNOTECopleston200330–31_114-2" class="reference"><a href="#cite_note-FOOTNOTECopleston200330–31-114"><span class="cite-bracket">[</span>108<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200410_167-3" class="reference"><a href="#cite_note-FOOTNOTEKenny200410-167"><span class="cite-bracket">[</span>161<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-184" class="reference"><a href="#cite_note-184"><span class="cite-bracket">[</span>178<span class="cite-bracket">]</span></a></sup> It is more or less agreed that Pythagoras issued a prohibition against the consumption of <a href="/wiki/Vicia_faba" title="Vicia faba">fava beans</a><sup id="cite_ref-FOOTNOTEZhmud2012137,_200_185-0" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012137,_200-185"><span class="cite-bracket">[</span>179<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200410_167-4" class="reference"><a href="#cite_note-FOOTNOTEKenny200410-167"><span class="cite-bracket">[</span>161<span class="cite-bracket">]</span></a></sup> and the meat of non-sacrificial animals such as fish and poultry.<sup id="cite_ref-FOOTNOTEZhmud2012200_178-1" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012200-178"><span class="cite-bracket">[</span>172<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200410_167-5" class="reference"><a href="#cite_note-FOOTNOTEKenny200410-167"><span class="cite-bracket">[</span>161<span class="cite-bracket">]</span></a></sup> Both of these assumptions, however, have been contradicted.<sup id="cite_ref-FOOTNOTECopleston200330_186-0" class="reference"><a href="#cite_note-FOOTNOTECopleston200330-186"><span class="cite-bracket">[</span>180<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-187" class="reference"><a href="#cite_note-187"><span class="cite-bracket">[</span>181<span class="cite-bracket">]</span></a></sup> Pythagorean dietary restrictions may have been motivated by belief in the doctrine of <a href="/wiki/Metempsychosis" title="Metempsychosis">metempsychosis</a>.<sup id="cite_ref-FOOTNOTECornelliMcKirahan2013168_157-2" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013168-157"><span class="cite-bracket">[</span>151<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPlutarch,_de_Esu_Carn540–545,_557–571§993,_§996,_§997_188-0" class="reference"><a href="#cite_note-FOOTNOTEPlutarch,_de_Esu_Carn540–545,_557–571§993,_§996,_§997-188"><span class="cite-bracket">[</span>182<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20019_189-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20019-189"><span class="cite-bracket">[</span>183<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200410–11_190-0" class="reference"><a href="#cite_note-FOOTNOTEKenny200410–11-190"><span class="cite-bracket">[</span>184<span class="cite-bracket">]</span></a></sup> Some ancient writers present Pythagoras as enforcing a strictly <a href="/wiki/Vegetarianism" title="Vegetarianism">vegetarian</a> diet.<sup id="cite_ref-vegetarianism_191-0" class="reference"><a href="#cite_note-vegetarianism-191"><span class="cite-bracket">[</span>g<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013168_157-3" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013168-157"><span class="cite-bracket">[</span>151<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20019_189-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20019-189"><span class="cite-bracket">[</span>183<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Eudoxus_of_Cnidus" title="Eudoxus of Cnidus">Eudoxus of Cnidus</a>, a student of Archytas, writes, "Pythagoras was distinguished by such purity and so avoided killing and killers that he not only abstained from animal foods, but even kept his distance from cooks and hunters."<sup id="cite_ref-192" class="reference"><a href="#cite_note-192"><span class="cite-bracket">[</span>185<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEZhmud2012235_193-0" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012235-193"><span class="cite-bracket">[</span>186<span class="cite-bracket">]</span></a></sup> Other authorities contradict this statement.<sup id="cite_ref-194" class="reference"><a href="#cite_note-194"><span class="cite-bracket">[</span>187<span class="cite-bracket">]</span></a></sup> According to <a href="/wiki/Aristoxenus" title="Aristoxenus">Aristoxenus</a>,<sup id="cite_ref-195" class="reference"><a href="#cite_note-195"><span class="cite-bracket">[</span>188<span class="cite-bracket">]</span></a></sup> Pythagoras allowed the use of all kinds of animal food except the flesh of <a href="/wiki/Oxen" class="mw-redirect" title="Oxen">oxen</a> used for <a href="/wiki/Plough" title="Plough">ploughing</a>, and <a href="/wiki/Sheep" title="Sheep">rams</a>.<sup id="cite_ref-FOOTNOTEZhmud2012235_193-1" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012235-193"><span class="cite-bracket">[</span>186<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-196" class="reference"><a href="#cite_note-196"><span class="cite-bracket">[</span>189<span class="cite-bracket">]</span></a></sup> According to Heraclides Ponticus, Pythagoras ate the meat from sacrifices<sup id="cite_ref-FOOTNOTEZhmud2012235_193-2" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012235-193"><span class="cite-bracket">[</span>186<span class="cite-bracket">]</span></a></sup> and established a diet for athletes dependent on meat.<sup id="cite_ref-FOOTNOTEZhmud2012235_193-3" class="reference"><a href="#cite_note-FOOTNOTEZhmud2012235-193"><span class="cite-bracket">[</span>186<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Legends">Legends</h2></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg" class="mw-file-description"><img alt="Oil painting showing, at the far left, a cloaked and hooded Pythagoras emerging from a cave in the woods as a large crowd of adoring followers wait outside to greet him." src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg/300px-Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg" decoding="async" width="300" height="209" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg/450px-Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6e/Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg/600px-Salvator_Rosa_-_Pythagoras_Emerging_from_the_Underworld_-_Google_Art_Project.jpg 2x" data-file-width="5401" data-file-height="3756" /></a><figcaption><i>Pythagoras Emerging from the Underworld</i> (1662) by <a href="/wiki/Salvator_Rosa" title="Salvator Rosa">Salvator Rosa</a></figcaption></figure> <p>Within his own lifetime, Pythagoras was already the subject of elaborate <a href="/wiki/Hagiography" title="Hagiography">hagiographic</a> legends.<sup id="cite_ref-FOOTNOTEKahn20015_30-7" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg20051_197-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20051-197"><span class="cite-bracket">[</span>190<span class="cite-bracket">]</span></a></sup> Aristotle described Pythagoras as a <a href="/wiki/Wonder-worker" class="mw-redirect" title="Wonder-worker">wonder-worker</a> and somewhat of a supernatural figure.<sup id="cite_ref-FOOTNOTERiedweg20052_198-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201530–31_199-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201530–31-199"><span class="cite-bracket">[</span>192<span class="cite-bracket">]</span></a></sup> In a fragment, Aristotle writes that Pythagoras had a golden thigh,<sup id="cite_ref-FOOTNOTERiedweg20052_198-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201530_200-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201530-200"><span class="cite-bracket">[</span>193<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200411_201-0" class="reference"><a href="#cite_note-FOOTNOTEKenny200411-201"><span class="cite-bracket">[</span>194<span class="cite-bracket">]</span></a></sup> which he publicly exhibited at the <a href="/wiki/Ancient_Olympic_Games" title="Ancient Olympic Games">Olympic Games</a><sup id="cite_ref-FOOTNOTERiedweg20052_198-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson200860_202-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200860-202"><span class="cite-bracket">[</span>195<span class="cite-bracket">]</span></a></sup> and showed to <a href="/wiki/Abaris_the_Hyperborean" title="Abaris the Hyperborean">Abaris the Hyperborean</a> as proof of his identity as the "Hyperborean Apollo".<sup id="cite_ref-FOOTNOTERiedweg20052_198-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-203" class="reference"><a href="#cite_note-203"><span class="cite-bracket">[</span>196<span class="cite-bracket">]</span></a></sup> Supposedly, the priest of Apollo gave Pythagoras a magic arrow, which he used to fly over long distances and perform ritual purifications.<sup id="cite_ref-FOOTNOTEMcKeown2013155_204-0" class="reference"><a href="#cite_note-FOOTNOTEMcKeown2013155-204"><span class="cite-bracket">[</span>197<span class="cite-bracket">]</span></a></sup> He was supposedly once seen at both Metapontum and Croton <a href="/wiki/Bilocation" title="Bilocation">at the same time</a>.<sup id="cite_ref-205" class="reference"><a href="#cite_note-205"><span class="cite-bracket">[</span>198<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20015_30-8" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson200860_202-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson200860-202"><span class="cite-bracket">[</span>195<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201530_200-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201530-200"><span class="cite-bracket">[</span>193<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200411_201-1" class="reference"><a href="#cite_note-FOOTNOTEKenny200411-201"><span class="cite-bracket">[</span>194<span class="cite-bracket">]</span></a></sup> When Pythagoras crossed the river Kosas (the modern-day <a href="/wiki/Basento" title="Basento">Basento</a>), "several witnesses" reported that they heard it greet him by name.<sup id="cite_ref-FOOTNOTEBurkert1972144_206-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972144-206"><span class="cite-bracket">[</span>199<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson200860_202-2" class="reference"><a href="#cite_note-FOOTNOTEFerguson200860-202"><span class="cite-bracket">[</span>195<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201530_200-2" class="reference"><a href="#cite_note-FOOTNOTEGregory201530-200"><span class="cite-bracket">[</span>193<span class="cite-bracket">]</span></a></sup> In Roman times, a legend claimed that Pythagoras was the son of Apollo.<sup id="cite_ref-FOOTNOTEFerguson200810_207-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200810-207"><span class="cite-bracket">[</span>200<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKenny200411_201-2" class="reference"><a href="#cite_note-FOOTNOTEKenny200411-201"><span class="cite-bracket">[</span>194<span class="cite-bracket">]</span></a></sup> According to <a href="/wiki/Hermes_Trismegistus#In_Islamic_tradition" title="Hermes Trismegistus">Muslim tradition</a>, Pythagoras was said to have been initiated by <a href="/wiki/Hermes_Trismegistus" title="Hermes Trismegistus">Hermes</a> (Egyptian <a href="/wiki/Thoth" title="Thoth">Thoth</a>).<sup id="cite_ref-FOOTNOTEFaivre199519–20_208-0" class="reference"><a href="#cite_note-FOOTNOTEFaivre199519–20-208"><span class="cite-bracket">[</span>201<span class="cite-bracket">]</span></a></sup> </p><p>Pythagoras was said to have dressed all in white.<sup id="cite_ref-FOOTNOTERiedweg20052_198-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEJoost-Gaugier200647_209-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200647-209"><span class="cite-bracket">[</span>202<span class="cite-bracket">]</span></a></sup> He is also said to have borne a golden <a href="/wiki/Wreath" title="Wreath">wreath</a> atop his head<sup id="cite_ref-FOOTNOTERiedweg20052_198-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup> and to have worn <a href="/wiki/Trousers" title="Trousers">trousers</a> after the fashion of the <a href="/wiki/Thrace" title="Thrace">Thracians</a>.<sup id="cite_ref-FOOTNOTERiedweg20052_198-6" class="reference"><a href="#cite_note-FOOTNOTERiedweg20052-198"><span class="cite-bracket">[</span>191<span class="cite-bracket">]</span></a></sup> Diogenes Laërtius presents Pythagoras as having exercised remarkable <a href="/wiki/Self-control" title="Self-control">self-control</a>;<sup id="cite_ref-FOOTNOTEFerguson200858–59_210-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200858–59-210"><span class="cite-bracket">[</span>203<span class="cite-bracket">]</span></a></sup> he was always cheerful,<sup id="cite_ref-FOOTNOTEFerguson200858–59_210-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson200858–59-210"><span class="cite-bracket">[</span>203<span class="cite-bracket">]</span></a></sup> but "abstained wholly from laughter, and from all such indulgences as jests and idle stories".<sup id="cite_ref-FOOTNOTEFerguson200859_93-16" class="reference"><a href="#cite_note-FOOTNOTEFerguson200859-93"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup> Pythagoras was said to have had extraordinary success in dealing with animals.<sup id="cite_ref-FOOTNOTEKahn20015_30-9" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013160_211-0" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013160-211"><span class="cite-bracket">[</span>204<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson200860_202-3" class="reference"><a href="#cite_note-FOOTNOTEFerguson200860-202"><span class="cite-bracket">[</span>195<span class="cite-bracket">]</span></a></sup> A fragment from Aristotle records that, when a deadly snake bit Pythagoras, he bit it back and killed it.<sup id="cite_ref-FOOTNOTEMcKeown2013155_204-1" class="reference"><a href="#cite_note-FOOTNOTEMcKeown2013155-204"><span class="cite-bracket">[</span>197<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson200860_202-4" class="reference"><a href="#cite_note-FOOTNOTEFerguson200860-202"><span class="cite-bracket">[</span>195<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201530_200-3" class="reference"><a href="#cite_note-FOOTNOTEGregory201530-200"><span class="cite-bracket">[</span>193<span class="cite-bracket">]</span></a></sup> Both Porphyry and Iamblichus report that Pythagoras once persuaded a bull not to eat fava beans<sup id="cite_ref-FOOTNOTEKahn20015_30-10" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013160_211-1" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013160-211"><span class="cite-bracket">[</span>204<span class="cite-bracket">]</span></a></sup> and that he once convinced a notoriously destructive bear to swear that it would never harm a living thing again, and that the bear kept its word.<sup id="cite_ref-FOOTNOTEKahn20015_30-11" class="reference"><a href="#cite_note-FOOTNOTEKahn20015-30"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECornelliMcKirahan2013160_211-2" class="reference"><a href="#cite_note-FOOTNOTECornelliMcKirahan2013160-211"><span class="cite-bracket">[</span>204<span class="cite-bracket">]</span></a></sup> </p><p>Riedweg suggests that Pythagoras may have personally encouraged these legends,<sup id="cite_ref-FOOTNOTERiedweg20051_197-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg20051-197"><span class="cite-bracket">[</span>190<span class="cite-bracket">]</span></a></sup> but Gregory states that there is no direct evidence of this.<sup id="cite_ref-FOOTNOTEGregory201531_170-4" class="reference"><a href="#cite_note-FOOTNOTEGregory201531-170"><span class="cite-bracket">[</span>164<span class="cite-bracket">]</span></a></sup> Anti-Pythagorean legends were also circulated.<sup id="cite_ref-FOOTNOTEFerguson200860–61_212-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200860–61-212"><span class="cite-bracket">[</span>205<span class="cite-bracket">]</span></a></sup> Diogenes Laërtes retells a story told by Hermippus of Samos, which states that Pythagoras had once gone into an underground room, telling everyone that he was descending to the underworld.<sup id="cite_ref-FOOTNOTEFerguson200861_213-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson200861-213"><span class="cite-bracket">[</span>206<span class="cite-bracket">]</span></a></sup> He stayed in this room for months, while his mother secretly recorded everything that happened during his absence.<sup id="cite_ref-FOOTNOTEFerguson200861_213-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson200861-213"><span class="cite-bracket">[</span>206<span class="cite-bracket">]</span></a></sup> After he returned from this room, Pythagoras recounted everything that had happened while he was gone,<sup id="cite_ref-FOOTNOTEFerguson200861_213-2" class="reference"><a href="#cite_note-FOOTNOTEFerguson200861-213"><span class="cite-bracket">[</span>206<span class="cite-bracket">]</span></a></sup> convincing everyone that he had really been in the underworld<sup id="cite_ref-FOOTNOTEFerguson200861_213-3" class="reference"><a href="#cite_note-FOOTNOTEFerguson200861-213"><span class="cite-bracket">[</span>206<span class="cite-bracket">]</span></a></sup> and leading them to trust him with their wives.<sup id="cite_ref-FOOTNOTEFerguson200861_213-4" class="reference"><a href="#cite_note-FOOTNOTEFerguson200861-213"><span class="cite-bracket">[</span>206<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Attributed_discoveries">Attributed discoveries</h2></div> <div class="mw-heading mw-heading3"><h3 id="In_mathematics">In mathematics</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Pythagorean.svg" class="mw-file-description"><img alt="Diagram illustrating the Pythagorean theorem" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Pythagorean.svg/240px-Pythagorean.svg.png" decoding="async" width="240" height="218" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Pythagorean.svg/360px-Pythagorean.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Pythagorean.svg/480px-Pythagorean.svg.png 2x" data-file-width="512" data-file-height="466" /></a><figcaption><b><a href="/wiki/Pythagorean_theorem" title="Pythagorean theorem">The Pythagorean theorem</a></b>: The sum of the areas of the two squares on the legs (<i>a</i> and <i>b</i>) equals the area of the square on the hypotenuse (<i>c</i>).</figcaption></figure> <p>Although Pythagoras is most famous today for his alleged mathematical discoveries,<sup id="cite_ref-FOOTNOTEKahn20011–2_138-1" class="reference"><a href="#cite_note-FOOTNOTEKahn20011–2-138"><span class="cite-bracket">[</span>132<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201521–22_214-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201521–22-214"><span class="cite-bracket">[</span>207<span class="cite-bracket">]</span></a></sup> classical historians dispute whether he himself ever actually made any significant contributions to the field.<sup id="cite_ref-FOOTNOTEBurkert1972428–433_154-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972428–433-154"><span class="cite-bracket">[</span>148<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20012–3_152-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20012–3-152"><span class="cite-bracket">[</span>146<span class="cite-bracket">]</span></a></sup> Many mathematical and scientific discoveries were attributed to Pythagoras, including <a href="/wiki/Pythagorean_theorem" title="Pythagorean theorem">his famous theorem</a>,<sup id="cite_ref-215" class="reference"><a href="#cite_note-215"><span class="cite-bracket">[</span>208<span class="cite-bracket">]</span></a></sup> as well as discoveries in the fields of <a href="/wiki/Music_of_ancient_Greece" title="Music of ancient Greece">music</a>,<sup id="cite_ref-216" class="reference"><a href="#cite_note-216"><span class="cite-bracket">[</span>209<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Greek_astronomy" class="mw-redirect" title="Greek astronomy">astronomy</a>,<sup id="cite_ref-217" class="reference"><a href="#cite_note-217"><span class="cite-bracket">[</span>210<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/Ancient_Greek_medicine" title="Ancient Greek medicine">medicine</a>.<sup id="cite_ref-218" class="reference"><a href="#cite_note-218"><span class="cite-bracket">[</span>211<span class="cite-bracket">]</span></a></sup> Since at least the first century BC, Pythagoras has commonly been given credit for discovering the Pythagorean theorem,<sup id="cite_ref-FOOTNOTEKahn200132–33_219-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200132–33-219"><span class="cite-bracket">[</span>212<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200526–27_220-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200526–27-220"><span class="cite-bracket">[</span>213<span class="cite-bracket">]</span></a></sup> a theorem in geometry that states that "in a right-angled triangle the square of the hypotenuse is equal [to the sum of] the squares of the two other sides"<sup id="cite_ref-FOOTNOTERiedweg200527_221-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527-221"><span class="cite-bracket">[</span>214<span class="cite-bracket">]</span></a></sup>—that is, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle a^{2}+b^{2}=c^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>c</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle a^{2}+b^{2}=c^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7ef0a5a4b8ab98870ae5d6d7c7b4dfe3fb6612e2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:12.336ex; height:2.843ex;" alt="{\displaystyle a^{2}+b^{2}=c^{2}}"></span>. According to a popular legend, after he discovered this theorem, Pythagoras sacrificed an ox, or possibly even a whole <i><a href="/wiki/Hecatomb" title="Hecatomb">hecatomb</a></i>, to the gods.<sup id="cite_ref-FOOTNOTERiedweg200527_221-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527-221"><span class="cite-bracket">[</span>214<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBurkert1972428_222-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972428-222"><span class="cite-bracket">[</span>215<span class="cite-bracket">]</span></a></sup> Cicero rejected this story as spurious<sup id="cite_ref-FOOTNOTERiedweg200527_221-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527-221"><span class="cite-bracket">[</span>214<span class="cite-bracket">]</span></a></sup> because of the much more widely held belief that Pythagoras forbade blood sacrifices.<sup id="cite_ref-FOOTNOTERiedweg200527_221-3" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527-221"><span class="cite-bracket">[</span>214<span class="cite-bracket">]</span></a></sup> Porphyry attempted to explain the story by asserting that the ox was actually made of <a href="/wiki/Dough" title="Dough">dough</a>.<sup id="cite_ref-FOOTNOTERiedweg200527_221-4" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527-221"><span class="cite-bracket">[</span>214<span class="cite-bracket">]</span></a></sup> </p><p>The Pythagorean theorem was known and used by the <a href="/wiki/Babylonian_mathematics" title="Babylonian mathematics">Babylonians</a> and <a href="/wiki/Indian_mathematics" title="Indian mathematics">Indians</a> centuries before Pythagoras,<sup id="cite_ref-FOOTNOTEBurkert1972429,_462_223-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972429,_462-223"><span class="cite-bracket">[</span>216<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200527_221-5" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527-221"><span class="cite-bracket">[</span>214<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn200132_224-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200132-224"><span class="cite-bracket">[</span>217<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson20086–7_225-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson20086–7-225"><span class="cite-bracket">[</span>218<span class="cite-bracket">]</span></a></sup> but he may have been the first to introduce it to the Greeks.<sup id="cite_ref-FOOTNOTEBurkert1972429_226-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972429-226"><span class="cite-bracket">[</span>219<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn200132_224-1" class="reference"><a href="#cite_note-FOOTNOTEKahn200132-224"><span class="cite-bracket">[</span>217<span class="cite-bracket">]</span></a></sup> Some historians of mathematics have even suggested that he—or his students—may have constructed the first <a href="/wiki/Mathematical_proof" title="Mathematical proof">proof</a>.<sup id="cite_ref-FOOTNOTEKahn200133_227-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200133-227"><span class="cite-bracket">[</span>220<span class="cite-bracket">]</span></a></sup> Burkert rejects this suggestion as implausible,<sup id="cite_ref-FOOTNOTEBurkert1972429_226-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972429-226"><span class="cite-bracket">[</span>219<span class="cite-bracket">]</span></a></sup> noting that Pythagoras was never credited with having proved any theorem in antiquity.<sup id="cite_ref-FOOTNOTEBurkert1972429_226-2" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972429-226"><span class="cite-bracket">[</span>219<span class="cite-bracket">]</span></a></sup> Furthermore, the manner in which the Babylonians employed Pythagorean numbers implies that they knew that the principle was generally applicable, and knew some kind of proof, which has not yet been found in the (still largely unpublished) <a href="/wiki/Cuneiform" title="Cuneiform">cuneiform</a> sources.<sup id="cite_ref-babylon_228-0" class="reference"><a href="#cite_note-babylon-228"><span class="cite-bracket">[</span>h<span class="cite-bracket">]</span></a></sup> Pythagoras's biographers state that he also was the first to identify the <a href="/wiki/Platonic_solid" title="Platonic solid">five regular solids</a><sup id="cite_ref-FOOTNOTEKahn20011–2_138-2" class="reference"><a href="#cite_note-FOOTNOTEKahn20011–2-138"><span class="cite-bracket">[</span>132<span class="cite-bracket">]</span></a></sup> and that he was the first to discover the <a href="/wiki/Proportionality_(mathematics)" title="Proportionality (mathematics)">Theory of Proportions</a>.<sup id="cite_ref-FOOTNOTEKahn20011–2_138-3" class="reference"><a href="#cite_note-FOOTNOTEKahn20011–2-138"><span class="cite-bracket">[</span>132<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="In_music">In music</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Gaffurio_Pythagoras.png" class="mw-file-description"><img alt="Woodcut showing four scenes. In the upper right scene, blacksmiths are pounding with hammers. In the upper left scene, a man labelled "Pitagora" is shown playing different-sized bells and glasses with different amounts of liquid in them. Both the bells and glasses are labelled. In the bottom left scene, "Pitagora" is striking chords of different length laid out across a table, once again, all of which have numbers labels. In the bottom right scene, "Pitagora" and another man labeled "Phylolavs" are shown playing auloi." src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Gaffurio_Pythagoras.png/220px-Gaffurio_Pythagoras.png" decoding="async" width="220" height="286" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Gaffurio_Pythagoras.png/330px-Gaffurio_Pythagoras.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Gaffurio_Pythagoras.png/440px-Gaffurio_Pythagoras.png 2x" data-file-width="2000" data-file-height="2600" /></a><figcaption>Late medieval woodcut from <a href="/wiki/Franchinus_Gaffurius" title="Franchinus Gaffurius">Franchino Gafurio</a>'s <i>Theoria musice</i> (1492), showing Pythagoras with bells and other instruments in Pythagorean tuning<sup id="cite_ref-FOOTNOTEGregory201528_150-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201528-150"><span class="cite-bracket">[</span>144<span class="cite-bracket">]</span></a></sup></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Pythagorean_tuning" title="Pythagorean tuning">Pythagorean tuning</a> and <a href="/wiki/Pythagorean_hammers" title="Pythagorean hammers">Pythagorean hammers</a></div> <p>According to legend, Pythagoras discovered that musical notes could be translated into mathematical equations when he passed blacksmiths at work one day and heard the sound of their <a href="/wiki/Pythagorean_hammers" title="Pythagorean hammers">hammers</a> clanging against the anvils.<sup id="cite_ref-FOOTNOTERiedweg200527–28_229-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200527–28-229"><span class="cite-bracket">[</span>221<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEGregory201527_230-0" class="reference"><a href="#cite_note-FOOTNOTEGregory201527-230"><span class="cite-bracket">[</span>222<span class="cite-bracket">]</span></a></sup> Thinking that the sounds of the hammers were beautiful and harmonious, except for one,<sup id="cite_ref-FOOTNOTERiedweg200528_231-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg200528-231"><span class="cite-bracket">[</span>223<span class="cite-bracket">]</span></a></sup> he rushed into the <a href="/wiki/Blacksmith" title="Blacksmith">blacksmith</a> shop and began testing the hammers.<sup id="cite_ref-FOOTNOTERiedweg200528_231-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg200528-231"><span class="cite-bracket">[</span>223<span class="cite-bracket">]</span></a></sup> He then realized that the tune played when the hammer struck was directly proportional to the size of the hammer and therefore concluded that music was mathematical.<sup id="cite_ref-FOOTNOTEGregory201527_230-1" class="reference"><a href="#cite_note-FOOTNOTEGregory201527-230"><span class="cite-bracket">[</span>222<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTERiedweg200528_231-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg200528-231"><span class="cite-bracket">[</span>223<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="In_astronomy">In astronomy</h3></div> <p>In ancient times, Pythagoras and his contemporary <a href="/wiki/Parmenides" title="Parmenides">Parmenides of Elea</a> were both credited with having been the first to teach that the <a href="/wiki/Spherical_Earth" title="Spherical Earth">Earth was spherical</a>,<sup id="cite_ref-FOOTNOTEBurkert1972306_232-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972306-232"><span class="cite-bracket">[</span>224<span class="cite-bracket">]</span></a></sup> the first to divide the globe into <a href="/wiki/Geographical_zone" title="Geographical zone">five climatic zones</a>,<sup id="cite_ref-FOOTNOTEBurkert1972306_232-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972306-232"><span class="cite-bracket">[</span>224<span class="cite-bracket">]</span></a></sup> and the first to identify the <a href="/wiki/Phosphorus_(morning_star)" title="Phosphorus (morning star)">morning star</a> and the <a href="/wiki/Hesperus" title="Hesperus">evening star</a> as the same celestial object (now known as <a href="/wiki/Venus" title="Venus">Venus</a>).<sup id="cite_ref-FOOTNOTEBurkert1972307–308_233-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972307–308-233"><span class="cite-bracket">[</span>225<span class="cite-bracket">]</span></a></sup> Of the two philosophers, Parmenides has a much stronger claim to having been the first<sup id="cite_ref-FOOTNOTEBurkert1972306–308_234-0" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972306–308-234"><span class="cite-bracket">[</span>226<span class="cite-bracket">]</span></a></sup> and the attribution of these discoveries to Pythagoras seems to have possibly originated from a <a href="/wiki/Pseudepigrapha" title="Pseudepigrapha">pseudepigraphal</a> poem.<sup id="cite_ref-FOOTNOTEBurkert1972307–308_233-1" class="reference"><a href="#cite_note-FOOTNOTEBurkert1972307–308-233"><span class="cite-bracket">[</span>225<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Empedocles" title="Empedocles">Empedocles</a>, who lived in Magna Graecia shortly after Pythagoras and Parmenides, knew that the earth was spherical.<sup id="cite_ref-FOOTNOTEKahn200153_235-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200153-235"><span class="cite-bracket">[</span>227<span class="cite-bracket">]</span></a></sup> By the end of the fifth century BC, this fact was universally accepted among Greek intellectuals.<sup id="cite_ref-FOOTNOTEDicks197068_236-0" class="reference"><a href="#cite_note-FOOTNOTEDicks197068-236"><span class="cite-bracket">[</span>228<span class="cite-bracket">]</span></a></sup> The identity of the morning star and evening star was known to the <a href="/wiki/Babylonia" title="Babylonia">Babylonians</a> over a thousand years earlier.<sup id="cite_ref-FOOTNOTELangdonFotheringham1928_237-0" class="reference"><a href="#cite_note-FOOTNOTELangdonFotheringham1928-237"><span class="cite-bracket">[</span>229<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Later_influence_in_antiquity">Later influence in antiquity</h2></div> <div class="mw-heading mw-heading3"><h3 id="On_Greek_philosophy">On Greek philosophy</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Timaeus_trans_calcidius_med_manuscript.jpg" class="mw-file-description"><img alt="Old manuscript with writing in a thin, fancy script with colored geometric diagrams illustrating the text." src="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Timaeus_trans_calcidius_med_manuscript.jpg/290px-Timaeus_trans_calcidius_med_manuscript.jpg" decoding="async" width="290" height="197" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/Timaeus_trans_calcidius_med_manuscript.jpg/435px-Timaeus_trans_calcidius_med_manuscript.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/03/Timaeus_trans_calcidius_med_manuscript.jpg/580px-Timaeus_trans_calcidius_med_manuscript.jpg 2x" data-file-width="1717" data-file-height="1165" /></a><figcaption>Medieval manuscript of <a href="/wiki/Calcidius" title="Calcidius">Calcidius</a>'s Latin translation of Plato's <i><a href="/wiki/Timaeus_(dialogue)" title="Timaeus (dialogue)">Timaeus</a></i>, which is one of the Platonic dialogues with the most overt Pythagorean influences<sup id="cite_ref-FOOTNOTEKahn200155–62_238-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200155–62-238"><span class="cite-bracket">[</span>230<span class="cite-bracket">]</span></a></sup></figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Timaeus_(dialogue)" title="Timaeus (dialogue)">Timaeus (dialogue)</a></div> <p>Sizeable Pythagorean communities existed in Magna Graecia, <a href="/wiki/Phlius" title="Phlius">Phlius</a>, and <a href="/wiki/Thebes,_Greece" title="Thebes, Greece">Thebes</a> during the early fourth century BC.<sup id="cite_ref-FOOTNOTEKahn200148–49_239-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200148–49-239"><span class="cite-bracket">[</span>231<span class="cite-bracket">]</span></a></sup> Around the same time, the Pythagorean philosopher <a href="/wiki/Archytas" title="Archytas">Archytas</a> was highly influential on the politics of the city of <a href="/wiki/Taranto" title="Taranto">Tarentum</a> in Magna Graecia.<sup id="cite_ref-FOOTNOTEKahn200139_240-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200139-240"><span class="cite-bracket">[</span>232<span class="cite-bracket">]</span></a></sup> According to later tradition, Archytas was elected as <i><a href="/wiki/Strategos" title="Strategos">strategos</a></i> ("general") seven times, even though others were prohibited from serving more than a year.<sup id="cite_ref-FOOTNOTEKahn200139_240-1" class="reference"><a href="#cite_note-FOOTNOTEKahn200139-240"><span class="cite-bracket">[</span>232<span class="cite-bracket">]</span></a></sup> Archytas was also a renowned mathematician and musician.<sup id="cite_ref-FOOTNOTEKahn200139–43_241-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200139–43-241"><span class="cite-bracket">[</span>233<span class="cite-bracket">]</span></a></sup> He was a close friend of Plato<sup id="cite_ref-FOOTNOTEKahn200139–40_242-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200139–40-242"><span class="cite-bracket">[</span>234<span class="cite-bracket">]</span></a></sup> and he is quoted in Plato's <i>Republic</i>.<sup id="cite_ref-FOOTNOTEKahn200140,_44–45_243-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200140,_44–45-243"><span class="cite-bracket">[</span>235<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEPlato,_RepublicVII,_530d_244-0" class="reference"><a href="#cite_note-FOOTNOTEPlato,_RepublicVII,_530d-244"><span class="cite-bracket">[</span>236<span class="cite-bracket">]</span></a></sup> Aristotle states that the philosophy of Plato was heavily dependent on the teachings of the Pythagoreans.<sup id="cite_ref-FOOTNOTEAristot._Met._1987a_245-0" class="reference"><a href="#cite_note-FOOTNOTEAristot._Met._1987a-245"><span class="cite-bracket">[</span>237<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn20011_246-0" class="reference"><a href="#cite_note-FOOTNOTEKahn20011-246"><span class="cite-bracket">[</span>238<span class="cite-bracket">]</span></a></sup> Cicero repeats this statement, remarking that <i>Platonem ferunt didicisse Pythagorea omnia</i> ("They say Plato learned all things Pythagorean").<sup id="cite_ref-247" class="reference"><a href="#cite_note-247"><span class="cite-bracket">[</span>239<span class="cite-bracket">]</span></a></sup> According to <a href="/wiki/Charles_H._Kahn" title="Charles H. Kahn">Charles H. Kahn</a>, Plato's middle dialogues, including <i><a href="/wiki/Meno" title="Meno">Meno</a></i>, <i><a href="/wiki/Phaedo" title="Phaedo">Phaedo</a></i>, and <i><a href="/wiki/Republic_(Plato)" title="Republic (Plato)">The Republic</a></i>, have a strong "Pythagorean coloring",<sup id="cite_ref-FOOTNOTEKahn200155_248-0" class="reference"><a href="#cite_note-FOOTNOTEKahn200155-248"><span class="cite-bracket">[</span>240<span class="cite-bracket">]</span></a></sup> and his last few dialogues (particularly <i><a href="/wiki/Philebus" title="Philebus">Philebus</a></i> and <i><a href="/wiki/Timaeus_(dialogue)" title="Timaeus (dialogue)">Timaeus</a></i>)<sup id="cite_ref-FOOTNOTEKahn200155–62_238-1" class="reference"><a href="#cite_note-FOOTNOTEKahn200155–62-238"><span class="cite-bracket">[</span>230<span class="cite-bracket">]</span></a></sup> are extremely Pythagorean in character.<sup id="cite_ref-FOOTNOTEKahn200155–62_238-2" class="reference"><a href="#cite_note-FOOTNOTEKahn200155–62-238"><span class="cite-bracket">[</span>230<span class="cite-bracket">]</span></a></sup> </p><p>According to <a href="/wiki/R._M._Hare" title="R. M. Hare">R. M. Hare</a>, Plato's <i><a href="/wiki/Republic_(Plato)" title="Republic (Plato)">Republic</a></i> may be partially based on the "tightly organised community of like-minded thinkers" established by Pythagoras at Croton.<sup id="cite_ref-FOOTNOTEHare1999117–119_249-0" class="reference"><a href="#cite_note-FOOTNOTEHare1999117–119-249"><span class="cite-bracket">[</span>241<span class="cite-bracket">]</span></a></sup> Additionally, Plato may have borrowed from Pythagoras the idea that mathematics and abstract thought are a secure basis for philosophy, science, and morality.<sup id="cite_ref-FOOTNOTEHare1999117–119_249-1" class="reference"><a href="#cite_note-FOOTNOTEHare1999117–119-249"><span class="cite-bracket">[</span>241<span class="cite-bracket">]</span></a></sup> Plato and Pythagoras shared a "mystical approach to the <a href="/wiki/Soul_(spirit)" class="mw-redirect" title="Soul (spirit)">soul</a> and its place in the material world"<sup id="cite_ref-FOOTNOTEHare1999117–119_249-2" class="reference"><a href="#cite_note-FOOTNOTEHare1999117–119-249"><span class="cite-bracket">[</span>241<span class="cite-bracket">]</span></a></sup> and both were probably influenced by <a href="/wiki/Orphicism" class="mw-redirect" title="Orphicism">Orphism</a>.<sup id="cite_ref-FOOTNOTEHare1999117–119_249-3" class="reference"><a href="#cite_note-FOOTNOTEHare1999117–119-249"><span class="cite-bracket">[</span>241<span class="cite-bracket">]</span></a></sup> The historian of philosophy <a href="/wiki/Frederick_Copleston" title="Frederick Copleston">Frederick Copleston</a> states that Plato probably borrowed <a href="/wiki/Plato%27s_tripartite_theory_of_soul" class="mw-redirect" title="Plato's tripartite theory of soul">his tripartite theory of the soul</a> from the Pythagoreans.<sup id="cite_ref-FOOTNOTECopleston200337_250-0" class="reference"><a href="#cite_note-FOOTNOTECopleston200337-250"><span class="cite-bracket">[</span>242<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a>, in his <i><a href="/wiki/A_History_of_Western_Philosophy" title="A History of Western Philosophy">A History of Western Philosophy</a></i>, contends that the influence of Pythagoras on Plato and others was so great that he should be considered the most influential philosopher of all time.<sup id="cite_ref-FOOTNOTERussell200833–37_251-0" class="reference"><a href="#cite_note-FOOTNOTERussell200833–37-251"><span class="cite-bracket">[</span>243<span class="cite-bracket">]</span></a></sup> He concludes that "I do not know of any other man who has been as influential as he was in the school of thought."<sup id="cite_ref-FOOTNOTERussell200837_252-0" class="reference"><a href="#cite_note-FOOTNOTERussell200837-252"><span class="cite-bracket">[</span>244<span class="cite-bracket">]</span></a></sup> </p><p>A revival of Pythagorean teachings occurred in the first century BC<sup id="cite_ref-FOOTNOTERiedweg2005123–124_253-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005123–124-253"><span class="cite-bracket">[</span>245<span class="cite-bracket">]</span></a></sup> when <a href="/wiki/Middle_Platonism" title="Middle Platonism">Middle Platonist</a> philosophers such as <a href="/wiki/Eudorus_of_Alexandria" title="Eudorus of Alexandria">Eudorus</a> and <a href="/wiki/Philo_of_Alexandria" class="mw-redirect" title="Philo of Alexandria">Philo of Alexandria</a> hailed the rise of a "new" Pythagoreanism in <a href="/wiki/Alexandria" title="Alexandria">Alexandria</a>.<sup id="cite_ref-FOOTNOTERiedweg2005124_254-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005124-254"><span class="cite-bracket">[</span>246<span class="cite-bracket">]</span></a></sup> At around the same time, <a href="/wiki/Neopythagoreanism" title="Neopythagoreanism">Neopythagoreanism</a> became prominent.<sup id="cite_ref-FOOTNOTERiedweg2005125–126_255-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005125–126-255"><span class="cite-bracket">[</span>247<span class="cite-bracket">]</span></a></sup> The first-century AD philosopher <a href="/wiki/Apollonius_of_Tyana" title="Apollonius of Tyana">Apollonius of Tyana</a> sought to emulate Pythagoras and live by Pythagorean teachings.<sup id="cite_ref-FOOTNOTERiedweg2005125_256-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005125-256"><span class="cite-bracket">[</span>248<span class="cite-bracket">]</span></a></sup> The later first-century Neopythagorean philosopher <a href="/wiki/Moderatus_of_Gades" title="Moderatus of Gades">Moderatus of Gades</a> expanded on Pythagorean number philosophy<sup id="cite_ref-FOOTNOTERiedweg2005125_256-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005125-256"><span class="cite-bracket">[</span>248<span class="cite-bracket">]</span></a></sup> and probably understood the soul as a "kind of mathematical harmony".<sup id="cite_ref-FOOTNOTERiedweg2005125_256-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005125-256"><span class="cite-bracket">[</span>248<span class="cite-bracket">]</span></a></sup> The Neopythagorean mathematician and musicologist <a href="/wiki/Nicomachus" title="Nicomachus">Nicomachus</a> likewise expanded on Pythagorean numerology and music theory.<sup id="cite_ref-FOOTNOTERiedweg2005125–126_255-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005125–126-255"><span class="cite-bracket">[</span>247<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Numenius_of_Apamea" title="Numenius of Apamea">Numenius of Apamea</a> interpreted Plato's teachings in light of Pythagorean doctrines.<sup id="cite_ref-FOOTNOTERiedweg2005126–127_257-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005126–127-257"><span class="cite-bracket">[</span>249<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="On_art_and_architecture">On art and architecture</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon,_Rome_-_Google_Art_Project.jpg" class="mw-file-description"><img alt="Painting showing a massive room with a high, domed ceiling. A hole is open at the top of the dome. Columns and statues line the walls." src="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon%2C_Rome_-_Google_Art_Project.jpg/220px-Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon%2C_Rome_-_Google_Art_Project.jpg" decoding="async" width="220" height="287" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/22/Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon%2C_Rome_-_Google_Art_Project.jpg/330px-Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon%2C_Rome_-_Google_Art_Project.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/22/Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon%2C_Rome_-_Google_Art_Project.jpg/440px-Giovanni_Paolo_Panini_-_Interior_of_the_Pantheon%2C_Rome_-_Google_Art_Project.jpg 2x" data-file-width="5401" data-file-height="7045" /></a><figcaption><a href="/wiki/Hadrian" title="Hadrian">Hadrian</a>'s <a href="/wiki/Pantheon,_Rome" title="Pantheon, Rome">Pantheon</a> in <a href="/wiki/Rome" title="Rome">Rome</a>, depicted in this eighteenth-century painting by <a href="/wiki/Giovanni_Paolo_Panini" title="Giovanni Paolo Panini">Giovanni Paolo Panini</a>, was built according to Pythagorean teachings.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006166–181_258-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006166–181-258"><span class="cite-bracket">[</span>250<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>Greek sculpture sought to represent the permanent reality behind superficial appearances.<sup id="cite_ref-FOOTNOTEHomann-Wedeking196863_259-0" class="reference"><a href="#cite_note-FOOTNOTEHomann-Wedeking196863-259"><span class="cite-bracket">[</span>251<span class="cite-bracket">]</span></a></sup> Early <a href="/wiki/Archaic_Greece" title="Archaic Greece">Archaic</a> sculpture represents life in simple forms, and may have been influenced by the earliest Greek natural philosophies.<sup id="cite_ref-form_260-0" class="reference"><a href="#cite_note-form-260"><span class="cite-bracket">[</span>i<span class="cite-bracket">]</span></a></sup> The Greeks generally believed that nature expressed itself in ideal forms and was represented by a type (<span title="Ancient Greek (to 1453)-language text"><span lang="grc">εἶδος</span></span>), which was mathematically calculated.<sup id="cite_ref-FOOTNOTEHomann-Wedeking196862_261-0" class="reference"><a href="#cite_note-FOOTNOTEHomann-Wedeking196862-261"><span class="cite-bracket">[</span>252<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-0" class="reference"><a href="#cite_note-FOOTNOTECarpenter1921107,_122,_128-262"><span class="cite-bracket">[</span>253<span class="cite-bracket">]</span></a></sup> When dimensions changed, architects sought to relay permanence through mathematics.<sup id="cite_ref-FOOTNOTEHomann-Wedeking196862–63_263-0" class="reference"><a href="#cite_note-FOOTNOTEHomann-Wedeking196862–63-263"><span class="cite-bracket">[</span>254<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEBowra1994166_264-0" class="reference"><a href="#cite_note-FOOTNOTEBowra1994166-264"><span class="cite-bracket">[</span>255<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Maurice_Bowra" title="Maurice Bowra">Maurice Bowra</a> believes that these ideas influenced the theory of Pythagoras and his students, who believed that "all things are numbers".<sup id="cite_ref-FOOTNOTEBowra1994166_264-1" class="reference"><a href="#cite_note-FOOTNOTEBowra1994166-264"><span class="cite-bracket">[</span>255<span class="cite-bracket">]</span></a></sup> </p><p>During the sixth century BC, the number philosophy of the Pythagoreans triggered a revolution in Greek sculpture.<sup id="cite_ref-FOOTNOTEHomann-Wedeking196862–65_265-0" class="reference"><a href="#cite_note-FOOTNOTEHomann-Wedeking196862–65-265"><span class="cite-bracket">[</span>256<span class="cite-bracket">]</span></a></sup> Greek sculptors and architects attempted to find the mathematical relation (<a href="/wiki/Canon_of_proportions" class="mw-redirect" title="Canon of proportions">canon</a>) behind aesthetic perfection.<sup id="cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-1" class="reference"><a href="#cite_note-FOOTNOTECarpenter1921107,_122,_128-262"><span class="cite-bracket">[</span>253<span class="cite-bracket">]</span></a></sup> Possibly drawing on the ideas of Pythagoras,<sup id="cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-2" class="reference"><a href="#cite_note-FOOTNOTECarpenter1921107,_122,_128-262"><span class="cite-bracket">[</span>253<span class="cite-bracket">]</span></a></sup> the sculptor <a href="/wiki/Polykleitos" title="Polykleitos">Polykleitos</a> wrote in <a href="/wiki/Polykleitos#Canon_of_Polykleitos" title="Polykleitos">his <i>Canon</i></a> that beauty consists in the proportion, not of the elements (materials), but of the interrelation of parts with one another and with the whole.<sup id="cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-3" class="reference"><a href="#cite_note-FOOTNOTECarpenter1921107,_122,_128-262"><span class="cite-bracket">[</span>253<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-polykleitos_266-0" class="reference"><a href="#cite_note-polykleitos-266"><span class="cite-bracket">[</span>j<span class="cite-bracket">]</span></a></sup> In the Greek architectural orders, every element was calculated and constructed by mathematical relations. <a href="/wiki/Rhys_Carpenter" title="Rhys Carpenter">Rhys Carpenter</a> states that the ratio 2:1 was "the generative ratio of the <a href="/wiki/Doric_order" title="Doric order">Doric order</a>, and in Hellenistic times an ordinary Doric colonnade, beats out a rhythm of notes."<sup id="cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-4" class="reference"><a href="#cite_note-FOOTNOTECarpenter1921107,_122,_128-262"><span class="cite-bracket">[</span>253<span class="cite-bracket">]</span></a></sup> </p><p>The oldest known building designed according to Pythagorean teachings is the <a href="/wiki/Porta_Maggiore_Basilica" title="Porta Maggiore Basilica">Porta Maggiore Basilica</a>,<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006154_267-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006154-267"><span class="cite-bracket">[</span>257<span class="cite-bracket">]</span></a></sup> a subterranean basilica which was built during the reign of the Roman emperor <a href="/wiki/Nero" title="Nero">Nero</a> as a secret place of worship for Pythagoreans.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006154–156_268-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006154–156-268"><span class="cite-bracket">[</span>258<span class="cite-bracket">]</span></a></sup> The basilica was built underground because of the Pythagorean emphasis on secrecy<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006157–158_269-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006157–158-269"><span class="cite-bracket">[</span>259<span class="cite-bracket">]</span></a></sup> and also because of the legend that Pythagoras had sequestered himself in a cave on Samos.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006158_270-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006158-270"><span class="cite-bracket">[</span>260<span class="cite-bracket">]</span></a></sup> The basilica's apse is in the east and its atrium in the west out of respect for the rising sun.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006158–159_271-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006158–159-271"><span class="cite-bracket">[</span>261<span class="cite-bracket">]</span></a></sup> It has a narrow entrance leading to a small pool where the initiates could purify themselves.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006159_272-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006159-272"><span class="cite-bracket">[</span>262<span class="cite-bracket">]</span></a></sup> The building is also designed according to Pythagorean numerology,<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006159–161_273-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006159–161-273"><span class="cite-bracket">[</span>263<span class="cite-bracket">]</span></a></sup> with each table in the sanctuary providing seats for seven people.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006161_148-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006161-148"><span class="cite-bracket">[</span>142<span class="cite-bracket">]</span></a></sup> Three aisles lead to a single altar, symbolizing the three parts of the soul approaching the unity of Apollo.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006161_148-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006161-148"><span class="cite-bracket">[</span>142<span class="cite-bracket">]</span></a></sup> The apse depicts a scene of the poet <a href="/wiki/Sappho" title="Sappho">Sappho</a> leaping off the <a href="/wiki/Lefkada" title="Lefkada">Leucadian cliffs</a>, clutching her lyre to her breast, while Apollo stands beneath her, extending his right hand in a gesture of protection,<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006162_274-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006162-274"><span class="cite-bracket">[</span>264<span class="cite-bracket">]</span></a></sup> symbolizing Pythagorean teachings about the immortality of the soul.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006162_274-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006162-274"><span class="cite-bracket">[</span>264<span class="cite-bracket">]</span></a></sup> The interior of the sanctuary is almost entirely white because the color white was regarded by Pythagoreans as sacred.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006162–164_275-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006162–164-275"><span class="cite-bracket">[</span>265<span class="cite-bracket">]</span></a></sup> </p><p>The emperor <a href="/wiki/Hadrian" title="Hadrian">Hadrian</a>'s <a href="/wiki/Pantheon,_Rome" title="Pantheon, Rome">Pantheon</a> in <a href="/wiki/Rome" title="Rome">Rome</a> was also built based on Pythagorean numerology.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006166–181_258-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006166–181-258"><span class="cite-bracket">[</span>250<span class="cite-bracket">]</span></a></sup> The temple's circular plan, central axis, hemispherical <a href="/wiki/Dome" title="Dome">dome</a>, and alignment with the four cardinal directions symbolize Pythagorean views on the order of the universe.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006167–168_276-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006167–168-276"><span class="cite-bracket">[</span>266<span class="cite-bracket">]</span></a></sup> The single <a href="/wiki/Oculus_(architecture)" title="Oculus (architecture)">oculus</a> at the top of the dome symbolizes the monad and the sun-god Apollo.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006168_277-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006168-277"><span class="cite-bracket">[</span>267<span class="cite-bracket">]</span></a></sup> The twenty-eight ribs extending from the oculus symbolize the moon, because twenty-eight was the same number of months on the Pythagorean lunar calendar.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006169–170_278-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006169–170-278"><span class="cite-bracket">[</span>268<span class="cite-bracket">]</span></a></sup> The five coffered rings beneath the ribs represent the marriage of the sun and moon.<sup id="cite_ref-FOOTNOTEJoost-Gaugier2006170–172_143-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier2006170–172-143"><span class="cite-bracket">[</span>137<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="In_early_Christianity">In early Christianity</h3></div> <p>Many early Christians had a deep respect for Pythagoras.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200657–65_279-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200657–65-279"><span class="cite-bracket">[</span>269<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Eusebius" title="Eusebius">Eusebius</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 260</span> – c.<span style="white-space:nowrap;"> 340</span> AD), bishop of <a href="/wiki/Caesarea_Maritima" title="Caesarea Maritima">Caesarea</a>, praises Pythagoras in his <i>Against Hierokles</i> for his rule of silence, his frugality, his "extraordinary" morality, and his wise teachings.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200657_280-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200657-280"><span class="cite-bracket">[</span>270<span class="cite-bracket">]</span></a></sup> In another work, Eusebius compares Pythagoras to <a href="/wiki/Moses" title="Moses">Moses</a>.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200657_280-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200657-280"><span class="cite-bracket">[</span>270<span class="cite-bracket">]</span></a></sup> In one of his letters, the <a href="/wiki/Church_Fathers" title="Church Fathers">Church Father</a> <a href="/wiki/Jerome" title="Jerome">Jerome</a> (<span title="circa">c.</span><span style="white-space:nowrap;"> 347</span> – c.<span style="white-space:nowrap;"> 420</span> AD) praises Pythagoras for his wisdom<sup id="cite_ref-FOOTNOTEJoost-Gaugier200657_280-2" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200657-280"><span class="cite-bracket">[</span>270<span class="cite-bracket">]</span></a></sup> and, in another letter, he credits Pythagoras for his belief in the immortality of the soul, which he suggests Christians inherited from him.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200657–58_281-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200657–58-281"><span class="cite-bracket">[</span>271<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Augustine_of_Hippo" title="Augustine of Hippo">Augustine of Hippo</a> (354–430 AD) rejected Pythagoras's teaching of metempsychosis without explicitly naming him, but otherwise expressed admiration for him.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200658–59_282-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200658–59-282"><span class="cite-bracket">[</span>272<span class="cite-bracket">]</span></a></sup> In <i><a href="/wiki/On_the_Trinity" title="On the Trinity">On the Trinity</a></i>, Augustine lauds the fact that Pythagoras was humble enough to call himself a <i>philosophos</i> or "lover of wisdom" rather than a "sage".<sup id="cite_ref-FOOTNOTEJoost-Gaugier200659_283-0" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200659-283"><span class="cite-bracket">[</span>273<span class="cite-bracket">]</span></a></sup> In another passage, Augustine defends Pythagoras's reputation, arguing that Pythagoras certainly never taught the doctrine of metempsychosis.<sup id="cite_ref-FOOTNOTEJoost-Gaugier200659_283-1" class="reference"><a href="#cite_note-FOOTNOTEJoost-Gaugier200659-283"><span class="cite-bracket">[</span>273<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Influence_after_antiquity">Influence after antiquity</h2></div> <div class="mw-heading mw-heading3"><h3 id="In_the_Middle_Ages">In the Middle Ages</h3></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Pythagore-chartres.jpg" class="mw-file-description"><img alt="Medieval carving of a man with long hair and a long beard hunched over a musical instrument he is working on" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Pythagore-chartres.jpg/220px-Pythagore-chartres.jpg" decoding="async" width="220" height="287" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/66/Pythagore-chartres.jpg/330px-Pythagore-chartres.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/66/Pythagore-chartres.jpg/440px-Pythagore-chartres.jpg 2x" data-file-width="709" data-file-height="925" /></a><figcaption>Pythagoras appears in a relief sculpture on one of the <a href="/wiki/Archivolts" class="mw-redirect" title="Archivolts">archivolts</a> over the right door of the west portal at <a href="/wiki/Chartres_Cathedral" title="Chartres Cathedral">Chartres Cathedral</a>.<sup id="cite_ref-FOOTNOTECelenza2010798_284-0" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>During the <a href="/wiki/Middle_Ages" title="Middle Ages">Middle Ages</a>, Pythagoras was revered as the founder of mathematics and music, two of the <a href="/wiki/Seven_Liberal_Arts" class="mw-redirect" title="Seven Liberal Arts">Seven Liberal Arts</a>.<sup id="cite_ref-FOOTNOTECelenza2010798_284-1" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> He appears in numerous medieval depictions, in illuminated manuscripts and in the relief sculptures on the portal of the <a href="/wiki/Cathedral_of_Chartres" class="mw-redirect" title="Cathedral of Chartres">Cathedral of Chartres</a>.<sup id="cite_ref-FOOTNOTECelenza2010798_284-2" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> The <i>Timaeus</i> was the only dialogue of Plato to survive in Latin translation in western Europe,<sup id="cite_ref-FOOTNOTECelenza2010798_284-3" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> which led <a href="/wiki/William_of_Conches" title="William of Conches">William of Conches</a> (c. 1080–1160) to declare that Plato was Pythagorean.<sup id="cite_ref-FOOTNOTECelenza2010798_284-4" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> A large-scale translation movement emerged during the Abbasid Caliphate, translating many Greek texts into Arabic. Works ascribed to Pythagoras included the "Golden Verses" and snippets of his scientific and mathematical theories.<sup id="cite_ref-FOOTNOTELindberg1978_285-0" class="reference"><a href="#cite_note-FOOTNOTELindberg1978-285"><span class="cite-bracket">[</span>275<span class="cite-bracket">]</span></a></sup><sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources"><span title="This citation requires a reference to the specific page or range of pages in which the material appears. (June 2024)">page needed</span></a></i>]</sup> By translating and disseminating Pythagorean texts, Islamic scholars ensured their survival and wider accessibility. This preserved knowledge that might have otherwise been lost through the decline of the Roman Empire and the neglect of classical learning in Europe.<sup id="cite_ref-FOOTNOTELindberg2013_286-0" class="reference"><a href="#cite_note-FOOTNOTELindberg2013-286"><span class="cite-bracket">[</span>276<span class="cite-bracket">]</span></a></sup><sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources"><span title="This citation requires a reference to the specific page or range of pages in which the material appears. (June 2024)">page needed</span></a></i>]</sup> In the 1430s, the Camaldolese friar <a href="/wiki/Ambrose_Traversari" title="Ambrose Traversari">Ambrose Traversari</a> translated Diogenes Laërtius's <i>Lives and Opinions of Eminent Philosophers</i> from Greek into Latin<sup id="cite_ref-FOOTNOTECelenza2010798_284-5" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> and, in the 1460s, the philosopher <a href="/wiki/Marsilio_Ficino" title="Marsilio Ficino">Marsilio Ficino</a> translated Porphyry and Iamblichus's <i>Lives of Pythagoras</i> into Latin as well,<sup id="cite_ref-FOOTNOTECelenza2010798_284-6" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> thereby allowing them to be read and studied by western scholars.<sup id="cite_ref-FOOTNOTECelenza2010798_284-7" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> In 1494, the Greek Neopythagorean scholar <a href="/wiki/Constantine_Lascaris" title="Constantine Lascaris">Constantine Lascaris</a> published <i><a href="/wiki/The_Golden_Verses_of_Pythagoras" class="mw-redirect" title="The Golden Verses of Pythagoras">The Golden Verses of Pythagoras</a></i>, translated into Latin, with a printed edition of his <i>Grammatica</i>,<sup id="cite_ref-FOOTNOTERusso20045–87,_especially_51–53_287-0" class="reference"><a href="#cite_note-FOOTNOTERusso20045–87,_especially_51–53-287"><span class="cite-bracket">[</span>277<span class="cite-bracket">]</span></a></sup> thereby bringing them to a widespread audience.<sup id="cite_ref-FOOTNOTERusso20045–87,_especially_51–53_287-1" class="reference"><a href="#cite_note-FOOTNOTERusso20045–87,_especially_51–53-287"><span class="cite-bracket">[</span>277<span class="cite-bracket">]</span></a></sup> In 1499, he published the first Renaissance biography of Pythagoras in his work <i>Vitae illustrium philosophorum siculorum et calabrorum</i>, issued in <a href="/wiki/Messina" title="Messina">Messina</a>.<sup id="cite_ref-FOOTNOTERusso20045–87,_especially_51–53_287-2" class="reference"><a href="#cite_note-FOOTNOTERusso20045–87,_especially_51–53-287"><span class="cite-bracket">[</span>277<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="On_modern_science">On modern science</h3></div> <p>In his preface to his book <i><a href="/wiki/On_the_Revolution_of_the_Heavenly_Spheres" class="mw-redirect" title="On the Revolution of the Heavenly Spheres">On the Revolution of the Heavenly Spheres</a></i> (1543), <a href="/wiki/Nicolaus_Copernicus" title="Nicolaus Copernicus">Nicolaus Copernicus</a> cites various Pythagoreans as the most important influences on the development of his <a href="/wiki/Heliocentrism" title="Heliocentrism">heliocentric model</a> of the universe,<sup id="cite_ref-FOOTNOTECelenza2010798_284-8" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn2001160_288-0" class="reference"><a href="#cite_note-FOOTNOTEKahn2001160-288"><span class="cite-bracket">[</span>278<span class="cite-bracket">]</span></a></sup> deliberately omitting mention of <a href="/wiki/Aristarchus_of_Samos" title="Aristarchus of Samos">Aristarchus of Samos</a>, a non-Pythagorean astronomer who had developed a fully heliocentric model in the fourth century BC, in effort to portray his model as fundamentally Pythagorean.<sup id="cite_ref-FOOTNOTEKahn2001160_288-1" class="reference"><a href="#cite_note-FOOTNOTEKahn2001160-288"><span class="cite-bracket">[</span>278<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Johannes_Kepler" title="Johannes Kepler">Johannes Kepler</a> considered himself to be a Pythagorean.<sup id="cite_ref-FOOTNOTECelenza2010798_284-9" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn2001161–171_289-0" class="reference"><a href="#cite_note-FOOTNOTEKahn2001161–171-289"><span class="cite-bracket">[</span>279<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFerguson2008265_290-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008265-290"><span class="cite-bracket">[</span>280<span class="cite-bracket">]</span></a></sup> He believed in the Pythagorean doctrine of <i>musica universalis</i><sup id="cite_ref-FOOTNOTEFerguson2008264–274_291-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008264–274-291"><span class="cite-bracket">[</span>281<span class="cite-bracket">]</span></a></sup> and it was his search for the mathematical equations behind this doctrine that led to his discovery of the <a href="/wiki/Kepler%27s_laws_of_planetary_motion" title="Kepler's laws of planetary motion">laws of planetary motion</a>.<sup id="cite_ref-FOOTNOTEFerguson2008264–274_291-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008264–274-291"><span class="cite-bracket">[</span>281<span class="cite-bracket">]</span></a></sup> Kepler titled his book on the subject <i><a href="/wiki/Harmonices_Mundi" title="Harmonices Mundi">Harmonices Mundi</a></i> (<i>Harmonics of the World</i>), after the Pythagorean teaching that had inspired him.<sup id="cite_ref-FOOTNOTECelenza2010798_284-10" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEKahn2001162_292-0" class="reference"><a href="#cite_note-FOOTNOTEKahn2001162-292"><span class="cite-bracket">[</span>282<span class="cite-bracket">]</span></a></sup> Near the conclusion of the book, Kepler describes himself falling asleep to the sound of the heavenly music, "warmed by having drunk a generous draught<span class="nowrap"> </span>... from the cup of Pythagoras."<sup id="cite_ref-FOOTNOTEFerguson2008274_293-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008274-293"><span class="cite-bracket">[</span>283<span class="cite-bracket">]</span></a></sup> He also called Pythagoras the "grandfather" of all Copernicans.<sup id="cite_ref-FOOTNOTEJames1993142_294-0" class="reference"><a href="#cite_note-FOOTNOTEJames1993142-294"><span class="cite-bracket">[</span>284<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a> firmly believed in the Pythagorean teaching of the mathematical harmony and order of the universe.<sup id="cite_ref-FOOTNOTEFerguson2008279_295-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008279-295"><span class="cite-bracket">[</span>285<span class="cite-bracket">]</span></a></sup> Though Newton was notorious for rarely giving others credit for their discoveries,<sup id="cite_ref-FOOTNOTEFerguson2008279–280_296-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008279–280-296"><span class="cite-bracket">[</span>286<span class="cite-bracket">]</span></a></sup> he attributed the discovery of the <a href="/wiki/Newton%27s_law_of_universal_gravitation" title="Newton's law of universal gravitation">Law of Universal Gravitation</a> to Pythagoras.<sup id="cite_ref-FOOTNOTEFerguson2008279–280_296-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008279–280-296"><span class="cite-bracket">[</span>286<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Albert_Einstein" title="Albert Einstein">Albert Einstein</a> believed that a scientist may also be "a Platonist or a Pythagorean insofar as he considers the viewpoint of logical simplicity as an indispensable and effective tool of his research."<sup id="cite_ref-FOOTNOTEKahn2001172_297-0" class="reference"><a href="#cite_note-FOOTNOTEKahn2001172-297"><span class="cite-bracket">[</span>287<span class="cite-bracket">]</span></a></sup> The English philosopher <a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Alfred North Whitehead</a> argued that "In a sense, Plato and Pythagoras stand nearer to modern physical science than does Aristotle. The two former were mathematicians, whereas Aristotle was the son of a doctor".<sup id="cite_ref-FOOTNOTEWhitehead195336–37_298-0" class="reference"><a href="#cite_note-FOOTNOTEWhitehead195336–37-298"><span class="cite-bracket">[</span>288<span class="cite-bracket">]</span></a></sup> By this measure, Whitehead declared that Einstein and other modern scientists like him are "following the pure Pythagorean tradition."<sup id="cite_ref-FOOTNOTEKahn2001172_297-1" class="reference"><a href="#cite_note-FOOTNOTEKahn2001172-297"><span class="cite-bracket">[</span>287<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEWhitehead195336_299-0" class="reference"><a href="#cite_note-FOOTNOTEWhitehead195336-299"><span class="cite-bracket">[</span>289<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="On_vegetarianism">On vegetarianism</h3></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Pythagoras_advocating_vegetarianism_(1618-20);_Peter_Paul_Rubens.jpg" class="mw-file-description"><img alt="Painting showing Pythagoras on the far left quizzically stroking his beard as he gazes upon a massive pile of fruits and vegetables. Two followers stand behind him, fully clothed. A man with a greying beard sits at the base of a tree gesturing to the pile of produce. Next to him, a fleshy, nude woman with blonde hair plucks fruits from it. Slightly behind her, two other women, one partially clothed and the other nude but obscured by the tree branch, are also plucking fruits. At the far right end of the painting, two nude, faun-like men with beards and pointed ears hurl more fruits upon the pile." src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Pythagoras_advocating_vegetarianism_%281618-20%29%3B_Peter_Paul_Rubens.jpg/310px-Pythagoras_advocating_vegetarianism_%281618-20%29%3B_Peter_Paul_Rubens.jpg" decoding="async" width="310" height="220" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Pythagoras_advocating_vegetarianism_%281618-20%29%3B_Peter_Paul_Rubens.jpg/465px-Pythagoras_advocating_vegetarianism_%281618-20%29%3B_Peter_Paul_Rubens.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Pythagoras_advocating_vegetarianism_%281618-20%29%3B_Peter_Paul_Rubens.jpg/620px-Pythagoras_advocating_vegetarianism_%281618-20%29%3B_Peter_Paul_Rubens.jpg 2x" data-file-width="2000" data-file-height="1419" /></a><figcaption><i>Pythagoras Advocating Vegetarianism</i> (1618–1630) by <a href="/wiki/Peter_Paul_Rubens" title="Peter Paul Rubens">Peter Paul Rubens</a> was inspired by Pythagoras's speech in Ovid's <i>Metamorphoses</i>.<sup id="cite_ref-FOOTNOTEBorlik2011192_300-0" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011192-300"><span class="cite-bracket">[</span>290<span class="cite-bracket">]</span></a></sup> The painting portrays the Pythagoreans with corpulent bodies, indicating a belief that vegetarianism was healthful and nutritious.<sup id="cite_ref-FOOTNOTEBorlik2011192_300-1" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011192-300"><span class="cite-bracket">[</span>290<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p>A fictionalized portrayal of Pythagoras appears in Book XV of <a href="/wiki/Ovid" title="Ovid">Ovid</a>'s <i><a href="/wiki/Metamorphoses" title="Metamorphoses">Metamorphoses</a></i>,<sup id="cite_ref-FOOTNOTEBorlik2011189_301-0" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011189-301"><span class="cite-bracket">[</span>291<span class="cite-bracket">]</span></a></sup> in which he delivers a speech imploring his followers to adhere to a strictly vegetarian diet.<sup id="cite_ref-FOOTNOTEBorlik2011189–190_302-0" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011189–190-302"><span class="cite-bracket">[</span>292<span class="cite-bracket">]</span></a></sup> It was through <a href="/wiki/Arthur_Golding" title="Arthur Golding">Arthur Golding</a>'s 1567 English translation of Ovid's <i>Metamorphoses</i> that Pythagoras was best known to English-speakers throughout the early modern period.<sup id="cite_ref-FOOTNOTEBorlik2011189–190_302-1" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011189–190-302"><span class="cite-bracket">[</span>292<span class="cite-bracket">]</span></a></sup> <a href="/wiki/John_Donne" title="John Donne">John Donne</a>'s <i>Progress of the Soul</i> discusses the implications of the doctrines expounded in the speech,<sup id="cite_ref-FOOTNOTEBorlik2011190_303-0" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011190-303"><span class="cite-bracket">[</span>293<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/Michel_de_Montaigne" title="Michel de Montaigne">Michel de Montaigne</a> quoted the speech no less than three times in his treatise "Of Cruelty" to voice his moral objections against the mistreatment of animals.<sup id="cite_ref-FOOTNOTEBorlik2011190_303-1" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011190-303"><span class="cite-bracket">[</span>293<span class="cite-bracket">]</span></a></sup> <a href="/wiki/William_Shakespeare" title="William Shakespeare">William Shakespeare</a> references the speech in his play <i><a href="/wiki/The_Merchant_of_Venice" title="The Merchant of Venice">The Merchant of Venice</a></i>.<sup id="cite_ref-FOOTNOTEFerguson2008282_304-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008282-304"><span class="cite-bracket">[</span>294<span class="cite-bracket">]</span></a></sup> <a href="/wiki/John_Dryden" title="John Dryden">John Dryden</a> included a translation of the scene with Pythagoras in his 1700 work <i><a href="/wiki/Fables,_Ancient_and_Modern" title="Fables, Ancient and Modern">Fables, Ancient and Modern</a></i>,<sup id="cite_ref-FOOTNOTEBorlik2011190_303-2" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011190-303"><span class="cite-bracket">[</span>293<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/John_Gay" title="John Gay">John Gay</a>'s 1726 fable "Pythagoras and the Countryman" reiterates its major themes, linking carnivorism with tyranny.<sup id="cite_ref-FOOTNOTEBorlik2011190_303-3" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011190-303"><span class="cite-bracket">[</span>293<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Lord_Chesterfield" class="mw-redirect" title="Lord Chesterfield">Lord Chesterfield</a> records that his conversion to vegetarianism had been motivated by reading Pythagoras's speech in Ovid's <i>Metamorphoses</i>.<sup id="cite_ref-FOOTNOTEBorlik2011190_303-4" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011190-303"><span class="cite-bracket">[</span>293<span class="cite-bracket">]</span></a></sup> Until the word <i>vegetarianism</i> was coined in the 1840s, vegetarians were referred to in English as "Pythagoreans".<sup id="cite_ref-FOOTNOTEBorlik2011190_303-5" class="reference"><a href="#cite_note-FOOTNOTEBorlik2011190-303"><span class="cite-bracket">[</span>293<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Percy_Bysshe_Shelley" title="Percy Bysshe Shelley">Percy Bysshe Shelley</a> wrote an ode entitled "To the Pythagorean Diet",<sup id="cite_ref-FOOTNOTEFerguson2008294_305-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008294-305"><span class="cite-bracket">[</span>295<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/Leo_Tolstoy" title="Leo Tolstoy">Leo Tolstoy</a> adopted the Pythagorean diet himself.<sup id="cite_ref-FOOTNOTEFerguson2008294_305-1" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008294-305"><span class="cite-bracket">[</span>295<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="On_Western_esotericism">On Western esotericism</h3></div> <p>Early modern <a href="/wiki/Western_esotericism" title="Western esotericism">European esotericism</a> drew heavily on the teachings of Pythagoras.<sup id="cite_ref-FOOTNOTECelenza2010798_284-11" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> The German <a href="/wiki/Renaissance_humanism" title="Renaissance humanism">humanist</a> scholar <a href="/wiki/Johannes_Reuchlin" class="mw-redirect" title="Johannes Reuchlin">Johannes Reuchlin</a> (1455–1522) synthesized Pythagoreanism with <a href="/wiki/Christian_theology" title="Christian theology">Christian theology</a> and Jewish <a href="/wiki/Kabbalah" title="Kabbalah">Kabbalah</a>,<sup id="cite_ref-FOOTNOTERiedweg2005127–128_306-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005127–128-306"><span class="cite-bracket">[</span>296<span class="cite-bracket">]</span></a></sup> arguing that Kabbalah and Pythagoreanism were both inspired by <a href="/wiki/Moses" title="Moses">Mosaic</a> tradition<sup id="cite_ref-FOOTNOTERiedweg2005128_307-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005128-307"><span class="cite-bracket">[</span>297<span class="cite-bracket">]</span></a></sup> and that Pythagoras was therefore a kabbalist.<sup id="cite_ref-FOOTNOTERiedweg2005128_307-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005128-307"><span class="cite-bracket">[</span>297<span class="cite-bracket">]</span></a></sup> In his dialogue <i>De verbo mirifico</i> (1494), Reuchlin compared the Pythagorean tetractys to the <a href="/wiki/Ineffability" title="Ineffability">ineffable</a> divine name <a href="/wiki/Tetragrammaton" title="Tetragrammaton">YHWH</a>,<sup id="cite_ref-FOOTNOTERiedweg2005127–128_306-1" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005127–128-306"><span class="cite-bracket">[</span>296<span class="cite-bracket">]</span></a></sup> ascribing each of the four letters of the tetragrammaton a symbolic meaning according to Pythagorean mystical teachings.<sup id="cite_ref-FOOTNOTERiedweg2005128_307-2" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005128-307"><span class="cite-bracket">[</span>297<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Heinrich_Cornelius_Agrippa" title="Heinrich Cornelius Agrippa">Heinrich Cornelius Agrippa</a>'s popular and influential three-volume treatise <i><a href="/wiki/Three_Books_of_Occult_Philosophy" title="Three Books of Occult Philosophy">De Occulta Philosophia</a></i> cites Pythagoras as a "religious magi"<sup id="cite_ref-FOOTNOTEFrench200230_308-0" class="reference"><a href="#cite_note-FOOTNOTEFrench200230-308"><span class="cite-bracket">[</span>298<span class="cite-bracket">]</span></a></sup> and advances the idea that Pythagoras's mystical numerology operates on a <a href="/wiki/Allegory_in_Renaissance_literature#Three_world_theory" title="Allegory in Renaissance literature">supercelestial</a> level,<sup id="cite_ref-FOOTNOTEFrench200230_308-1" class="reference"><a href="#cite_note-FOOTNOTEFrench200230-308"><span class="cite-bracket">[</span>298<span class="cite-bracket">]</span></a></sup> a religious term used to describe a high heavenly realm used during his time. The <a href="/wiki/Freemasonry" title="Freemasonry">freemasons</a> deliberately modeled their society on the community founded by Pythagoras at Croton.<sup id="cite_ref-FOOTNOTERiedweg2005133_309-0" class="reference"><a href="#cite_note-FOOTNOTERiedweg2005133-309"><span class="cite-bracket">[</span>299<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Rosicrucianism" title="Rosicrucianism">Rosicrucianism</a> used Pythagorean symbolism,<sup id="cite_ref-FOOTNOTECelenza2010798_284-12" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> as did <a href="/wiki/Robert_Fludd" title="Robert Fludd">Robert Fludd</a> (1574–1637),<sup id="cite_ref-FOOTNOTECelenza2010798_284-13" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> who believed his own musical writings to have been inspired by Pythagoras.<sup id="cite_ref-FOOTNOTECelenza2010798_284-14" class="reference"><a href="#cite_note-FOOTNOTECelenza2010798-284"><span class="cite-bracket">[</span>274<span class="cite-bracket">]</span></a></sup> <a href="/wiki/John_Dee" title="John Dee">John Dee</a> was heavily influenced by Pythagorean ideology,<sup id="cite_ref-FOOTNOTESherman199515_310-0" class="reference"><a href="#cite_note-FOOTNOTESherman199515-310"><span class="cite-bracket">[</span>300<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFrench200230_308-2" class="reference"><a href="#cite_note-FOOTNOTEFrench200230-308"><span class="cite-bracket">[</span>298<span class="cite-bracket">]</span></a></sup> particularly the teaching that all things are made of numbers.<sup id="cite_ref-FOOTNOTESherman199515_310-1" class="reference"><a href="#cite_note-FOOTNOTESherman199515-310"><span class="cite-bracket">[</span>300<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-FOOTNOTEFrench200230_308-3" class="reference"><a href="#cite_note-FOOTNOTEFrench200230-308"><span class="cite-bracket">[</span>298<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Adam_Weishaupt" title="Adam Weishaupt">Adam Weishaupt</a>, the founder of the <a href="/wiki/Illuminati" title="Illuminati">Illuminati</a>, was a strong admirer of Pythagoras<sup id="cite_ref-FOOTNOTEFerguson2008284–288_311-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008284–288-311"><span class="cite-bracket">[</span>301<span class="cite-bracket">]</span></a></sup> and, in his book <i>Pythagoras</i> (1787), he advocated that society should be reformed to be more like Pythagoras's commune at Croton.<sup id="cite_ref-FOOTNOTEFerguson2008287–288_312-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008287–288-312"><span class="cite-bracket">[</span>302<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Wolfgang_Amadeus_Mozart" title="Wolfgang Amadeus Mozart">Wolfgang Amadeus Mozart</a> incorporated Masonic and Pythagorean symbolism into his opera <i><a href="/wiki/The_Magic_Flute" title="The Magic Flute">The Magic Flute</a></i>.<sup id="cite_ref-FOOTNOTEFerguson2008286–287_313-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008286–287-313"><span class="cite-bracket">[</span>303<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Sylvain_Mar%C3%A9chal" title="Sylvain Maréchal">Sylvain Maréchal</a>, in his six-volume 1799 biography <i>The Voyages of Pythagoras</i>, declared that all revolutionaries in all time periods are the "heirs of Pythagoras".<sup id="cite_ref-FOOTNOTEFerguson2008288_314-0" class="reference"><a href="#cite_note-FOOTNOTEFerguson2008288-314"><span class="cite-bracket">[</span>304<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="On_literature">On literature</h3></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Paradiso_Canto_31.jpg" class="mw-file-description"><img alt="Engraving showing two small silhouettes standing before a tunnel of innumerably manifold circling angels leading to a bright, beautiful light at the end." src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Paradiso_Canto_31.jpg/260px-Paradiso_Canto_31.jpg" decoding="async" width="260" height="339" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Paradiso_Canto_31.jpg/390px-Paradiso_Canto_31.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Paradiso_Canto_31.jpg/520px-Paradiso_Canto_31.jpg 2x" data-file-width="2475" data-file-height="3223" /></a><figcaption><a href="/wiki/Dante_Alighieri" title="Dante Alighieri">Dante Alighieri</a>'s description of Heaven in his <i><a href="/wiki/Paradiso_(Dante)" title="Paradiso (Dante)">Paradiso</a></i> incorporates Pythagorean numerology.<sup id="cite_ref-FOOTNOTEHaag201389_315-0" class="reference"><a href="#cite_note-FOOTNOTEHaag201389-315"><span class="cite-bracket">[</span>305<span class="cite-bracket">]</span></a></sup></figcaption></figure> <p><a href="/wiki/Dante_Alighieri" title="Dante Alighieri">Dante Alighieri</a> was fascinated by Pythagorean numerology<sup id="cite_ref-FOOTNOTEHaag201389_315-1" class="reference"><a href="#cite_note-FOOTNOTEHaag201389-315"><span class="cite-bracket">[</span>305<span class="cite-bracket">]</span></a></sup> and based his descriptions of <a href="/wiki/Hell" title="Hell">Hell</a>, <a href="/wiki/Purgatory" title="Purgatory">Purgatory</a>, and <a href="/wiki/Heaven" title="Heaven">Heaven</a> on Pythagorean numbers.<sup id="cite_ref-FOOTNOTEHaag201389_315-2" class="reference"><a href="#cite_note-FOOTNOTEHaag201389-315"><span class="cite-bracket">[</span>305<span class="cite-bracket">]</span></a></sup> Dante wrote that Pythagoras saw Unity as Good and Plurality as Evil<sup id="cite_ref-FOOTNOTEHaag201390_316-0" class="reference"><a href="#cite_note-FOOTNOTEHaag201390-316"><span class="cite-bracket">[</span>306<span class="cite-bracket">]</span></a></sup> and, in <i><a href="/wiki/Paradiso_(Dante)" title="Paradiso (Dante)">Paradiso</a></i> XV, 56–57, he declares: "five and six, if understood, ray forth from unity".<sup id="cite_ref-FOOTNOTEHaag201390–91_317-0" class="reference"><a href="#cite_note-FOOTNOTEHaag201390–91-317"><span class="cite-bracket">[</span>307<span class="cite-bracket">]</span></a></sup> The number eleven and its multiples are found throughout the <i><a href="/wiki/Divine_Comedy" title="Divine Comedy">Divine Comedy</a></i>, each book of which has thirty-three <a href="/wiki/Canto" title="Canto">cantos</a>, except for the <i><a href="/wiki/Inferno_(Dante)" title="Inferno (Dante)">Inferno</a></i>, which has thirty-four, the first of which serves as a general introduction.<sup id="cite_ref-FOOTNOTEHaag201391_318-0" class="reference"><a href="#cite_note-FOOTNOTEHaag201391-318"><span class="cite-bracket">[</span>308<span class="cite-bracket">]</span></a></sup> Dante describes the ninth and tenth bolgias in the Eighth Circle of Hell as being twenty-two miles and eleven miles respectively,<sup id="cite_ref-FOOTNOTEHaag201391_318-1" class="reference"><a href="#cite_note-FOOTNOTEHaag201391-318"><span class="cite-bracket">[</span>308<span class="cite-bracket">]</span></a></sup> which correspond to the fraction <style data-mw-deduplicate="TemplateStyles:r1214402035">.mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num{display:block;line-height:1em;margin:0.0em 0.1em;border-bottom:1px solid}.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0.1em 0.1em}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);clip-path:polygon(0px 0px,0px 0px,0px 0px);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span class="sfrac">⁠<span class="tion"><span class="num">22</span><span class="sr-only">/</span><span class="den">7</span></span>⁠</span>, which was the Pythagorean approximation of <a href="/wiki/Pi" title="Pi">pi</a>.<sup id="cite_ref-FOOTNOTEHaag201391_318-2" class="reference"><a href="#cite_note-FOOTNOTEHaag201391-318"><span class="cite-bracket">[</span>308<span class="cite-bracket">]</span></a></sup> </p><p>The <a href="/wiki/Transcendentalism" title="Transcendentalism">Transcendentalists</a> read the ancient <i>Lives of Pythagoras</i> as guides on how to live a model life.<sup id="cite_ref-FOOTNOTEBregman2002186_319-0" class="reference"><a href="#cite_note-FOOTNOTEBregman2002186-319"><span class="cite-bracket">[</span>309<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Henry_David_Thoreau" title="Henry David Thoreau">Henry David Thoreau</a> was impacted by <a href="/wiki/Thomas_Taylor_(neoplatonist)" title="Thomas Taylor (neoplatonist)">Thomas Taylor</a>'s translations of Iamblichus's <i>Life of Pythagoras</i> and <a href="/wiki/Stobaeus" title="Stobaeus">Stobaeus</a>'s <i>Pythagoric Sayings</i><sup id="cite_ref-FOOTNOTEBregman2002186_319-1" class="reference"><a href="#cite_note-FOOTNOTEBregman2002186-319"><span class="cite-bracket">[</span>309<span class="cite-bracket">]</span></a></sup> and his views on nature may have been influenced by the Pythagorean idea of images corresponding to archetypes.<sup id="cite_ref-FOOTNOTEBregman2002186_319-2" class="reference"><a href="#cite_note-FOOTNOTEBregman2002186-319"><span class="cite-bracket">[</span>309<span class="cite-bracket">]</span></a></sup> The Pythagorean teaching of <i>musica universalis</i> is a recurring theme throughout Thoreau's <i><a href="/wiki/Magnum_opus" class="mw-redirect" title="Magnum opus">magnum opus</a></i>, <i><a href="/wiki/Walden" title="Walden">Walden</a></i>.<sup id="cite_ref-FOOTNOTEBregman2002186_319-3" class="reference"><a href="#cite_note-FOOTNOTEBregman2002186-319"><span class="cite-bracket">[</span>309<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div> <ul><li><a href="/wiki/List_of_things_named_after_Pythagoras" title="List of things named after Pythagoras">List of things named after Pythagoras</a></li> <li><i><a href="/wiki/Ex_pede_Herculem" title="Ex pede Herculem">Ex pede Herculem</a></i>, "from his foot, [we can measure] Hercules" – a maxim based on the apocryphal story that Pythagoras estimated Hercules's stature based on the length of a racecourse at Pisae</li> <li><a href="/wiki/Pythagorean_cup" title="Pythagorean cup">Pythagorean cup</a> – a prank cup with a hidden siphon built in, attributed to Pythagoras</li> <li><a href="/wiki/Pythagorean_means" title="Pythagorean means">Pythagorean means</a> – the arithmetic mean, the geometric mean, and the harmonic mean, claimed to have been studied by Pythagoras</li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-lower-alpha"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-spelling-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-spelling_2-0">^</a></b></span> <span class="reference-text"><span class="rt-commentedText nowrap"><span class="IPA nopopups noexcerpt" lang="en-fonipa"><a href="/wiki/Help:IPA/English" title="Help:IPA/English">/<span style="border-bottom:1px dotted"><span title="'p' in 'pie'">p</span><span title="/aɪ/: 'i' in 'tide'">aɪ</span><span title="/ˈ/: primary stress follows">ˈ</span><span title="/θ/: 'th' in 'thigh'">θ</span><span title="/æ/: 'a' in 'bad'">æ</span><span title="/ɡ/: 'g' in 'guy'">ɡ</span><span title="/ər/: 'er' in 'letter'">ər</span><span title="/ə/: 'a' in 'about'">ə</span><span title="'s' in 'sigh'">s</span></span>/</a></span></span> <a href="/wiki/Help:Pronunciation_respelling_key" title="Help:Pronunciation respelling key"><i title="English pronunciation respelling">py-<span style="font-size:90%">THAG</span>-ər-əs</i></a>,<sup id="cite_ref-Collins_320-0" class="reference"><a href="#cite_note-Collins-320"><span class="cite-bracket">[</span>310<span class="cite-bracket">]</span></a></sup> <span class="rt-commentedText nowrap"><style data-mw-deduplicate="TemplateStyles:r1177148991">.mw-parser-output .IPA-label-small{font-size:85%}.mw-parser-output .references .IPA-label-small,.mw-parser-output .infobox .IPA-label-small,.mw-parser-output .navbox .IPA-label-small{font-size:100%}</style><span class="IPA-label IPA-label-small">also <a href="/wiki/American_English" title="American English">US</a>: </span><span class="IPA nopopups noexcerpt" lang="en-fonipa"><a href="/wiki/Help:IPA/English" title="Help:IPA/English">/<span style="border-bottom:1px dotted"><span title="'p' in 'pie'">p</span><span title="/ɪ/: 'i' in 'kit'">ɪ</span><span title="/ˈ/: primary stress follows">ˈ</span><span title="/θ/: 'th' in 'thigh'">θ</span><span title="/æ/: 'a' in 'bad'">æ</span><span title="/ɡ/: 'g' in 'guy'">ɡ</span><span title="/ər/: 'er' in 'letter'">ər</span><span title="/ə/: 'a' in 'about'">ə</span><span title="'s' in 'sigh'">s</span></span>/</a></span></span> <a href="/wiki/Help:Pronunciation_respelling_key" title="Help:Pronunciation respelling key"><i title="English pronunciation respelling">pih-</i></a>.<sup id="cite_ref-Collins2_321-0" class="reference"><a href="#cite_note-Collins2-321"><span class="cite-bracket">[</span>311<span class="cite-bracket">]</span></a></sup> <a href="/wiki/Ancient_Greek_language" class="mw-redirect" title="Ancient Greek language">Ancient Greek</a>: <span lang="grc">Πυθαγόρας ὁ Σάμιος</span>, <small><a href="/wiki/Romanization_of_Ancient_Greek" class="mw-redirect" title="Romanization of Ancient Greek">romanized</a>: </small><span title="Ancient Greek-language romanization"><i lang="grc-Latn">Pythagóras ho Sámios</i></span>, <small><a href="/wiki/Literal_translation" title="Literal translation">lit.</a> </small>'Pythagoras the <a href="/wiki/Samos" title="Samos">Samian</a>', or <span title="Ancient Greek (to 1453)-language text"><span lang="grc">Πυθαγόρης</span></span>, <i>Pythagórēs</i> in <a href="/wiki/Ionian_Greek" class="mw-redirect" title="Ionian Greek">Ionian Greek</a>.</span> </li> <li id="cite_note-date-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-date_3-0">^</a></b></span> <span class="reference-text">"The dates of his life cannot be fixed exactly, but assuming the approximate correctness of the statement of Aristoxenus (<a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §9) that he left Samos to escape the tyranny of Polycrates at the age of forty, we may put his birth round about 570 BC, or a few years earlier. The length of his life was variously estimated in antiquity, but it is agreed that he lived to a fairly ripe old age, and most probably he died at about seventy-five or eighty." <a href="#CITEREFGuthrie1967">Guthrie (1967)</a>, p. 173 </span> </li> <li id="cite_note-philosopher-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-philosopher_4-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCicero,_Tusc._Qu">Cicero, Tusc. Qu</a>, pp. 431–433, §5.3.8–§5.3.9 (citing <a href="/wiki/Heraclides_Ponticus" title="Heraclides Ponticus">Heraclides Ponticus</a> fr. 88 Wehrli), <a href="#CITEREFDiog_I">Diog I</a>, 1.12, <a href="#CITEREFDiog_VIII">Diog VIII</a>, §8.8, <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §58. Burkert attempted to discredit this ancient tradition <a href="#CITEREFBurkert1960">Burkert (1960)</a> but it has been defended by <a href="#CITEREFDe_Vogel1966">De Vogel (1966)</a>, pp. 97–102 and <a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 92</span> </li> <li id="cite_note-Xenophanes-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-Xenophanes_15-0">^</a></b></span> <span class="reference-text">Xenophanes' Poem (or <a href="/wiki/Elegies" class="mw-redirect" title="Elegies">Elegies</a>) on Pythagorus is provided below, which was preserved in <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.36: <ul><li>Greek: <span title="Ancient Greek (to 1453)-language text"><span lang="grc">περὶ δὲ τοῦ ἄλλοτε ἄλλον γεγενῆσθαι (Pythagoras) Ζενοφάνης ἐν ἐλεγείαι προσμαρτυρεῖ, ἧς ἀρχή 'νῦν<span class="nowrap"> </span>... κέλενθον'. ὃ δὲ περὶ αὐτοῦ (Pythagoras) φησιν, οὕτως ἔχει καί<span class="nowrap"> </span>... αἰών'. νῦν αὖτ' ἄλλον ἔπειμι λόγον, δείξω δὲ κέλευθον. καί ποτέ μιν στυφελιζομένου σκύλακος παριόντα φασὶν ἐποικτῖραι καὶ τόδε φάσθαι ἔπος "παῦσαι μηδὲ ῥάπιζε, ἐπεὶ ἡ φίλου ἀνέρος ἐστὶν ψυχή, τὴν ἔγνων φθεγξαμένης αὐδῆς."</span></span> <a href="#CITEREFDK_21B7">DK 21B7</a>, p. 130</li></ul> <ul><li>English: "And now I will turn to another tale and point the way.<span class="nowrap"> </span>... Once they say that he (Pythagoras) was passing by when a dog was being beaten and spoke this word: "Stop! don't beat it! For it is the soul of a friend that I recognised when I heard its voice." <a href="#CITEREFBurnet1920">Burnet (1920)</a>, p. 118</li></ul> </span></li> <li id="cite_note-Herodotus-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-Herodotus_21-0">^</a></b></span> <span class="reference-text">The phrase <span title="Ancient Greek (to 1453)-language text"><span lang="grc">"οὐ τῷ ἀσθενεστάτῳ σοφιστῇ"</span></span> directly translates to "not the weakest sophist,"(<a href="#CITEREFHdt._4">Hdt. 4</a>, p. 297, §95.3) and in the context of ancient Greek literature, this phrasing can be used to imply that the subject is quite the opposite: someone of considerable strength or significance. <a href="#CITEREFBurnet1920">Burnet (1920)</a>, p. 97 This rhetorical technique is known as <a href="/wiki/Litotes" title="Litotes">litotes</a>, a form of understatement that uses a negative to emphasize a positive quality. Hence this sentence was translated as "one of the greatest Greek teachers, Pythagoras" by <a href="/wiki/A._D._Godley" title="A. D. Godley">A. D. Godley</a> to avoid confusion.</span> </li> <li id="cite_note-ancestry-41"><span class="mw-cite-backlink"><b><a href="#cite_ref-ancestry_41-0">^</a></b></span> <span class="reference-text">Some writers call him a native <a href="/wiki/Samos" title="Samos">Samian</a>, a <a href="/wiki/Tyrrhenians" title="Tyrrhenians">Tyrrhenian</a> from <a href="/wiki/Lemnos" title="Lemnos">Lemnos</a>, or a <a href="/wiki/Phlius" title="Phlius">Phliasian</a> from Peloponnesus, and give Marmacus or Demaratus as his name (see <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.1; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §1, §2; Justin, xx. 4; Pausanias, ii. 13; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §2.4). Porphyry also presents a conflicting report by Neanthes, that Mnesarchus was born in Tyre (in Syria), or that he was a Tyrrhenian from Lemnos; however, the confusion was possibly due to the similarity of the names "Tyre" and "Tyrrhenian", while it has also been suggested that Porphyry's own background from Tyre, could explain why his work was the only one, out of the three biographies of Pythagoras that have survived from late antiquity, to have linked Pythagoras's father with it. <a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 11–12, 198 Due to this obscurity, some modern scholars deem it safer to accept "that Pythagoras and his father were pure-blooded Greeks, of undiluted Samian stock". <a href="#CITEREFJacobyBollansée1999">Jacoby & Bollansée (1999)</a>, pp. 256–257, n. 73</span> </li> <li id="cite_note-vegetarianism-191"><span class="mw-cite-backlink"><b><a href="#cite_ref-vegetarianism_191-0">^</a></b></span> <span class="reference-text">as Empedocles did afterwards, Aristotle, <i>Rhet.</i> i. 14. § 2; Sextus Empiricus, ix. 127. This was also one of the Orphic precepts, Aristoph. <i>Ran.</i> 1032</span> </li> <li id="cite_note-babylon-228"><span class="mw-cite-backlink"><b><a href="#cite_ref-babylon_228-0">^</a></b></span> <span class="reference-text">There are about 100,000 unpublished cuneiform sources in the <a href="/wiki/British_Museum" title="British Museum">British Museum</a> alone. Babylonian knowledge of proof of the Pythagorean theorem is discussed by J. Høyrup, 'The Pythagorean "Rule" and "Theorem" – Mirror of the Relation between Babylonian and Greek Mathematics,' in: J. Renger (red.): <i>Babylon. Focus mesopotamischer Geschichte, Wiege früher Gelehrsamkeit, Mythos in der Moderne</i> (1999).</span> </li> <li id="cite_note-form-260"><span class="mw-cite-backlink"><b><a href="#cite_ref-form_260-0">^</a></b></span> <span class="reference-text">"For <a href="/wiki/Thales" class="mw-redirect" title="Thales">Thales</a>, the origin was water, and for <a href="/wiki/Anaximander" title="Anaximander">Anaximander</a> the infinite (<a href="/wiki/Apeiron_(cosmology)" class="mw-redirect" title="Apeiron (cosmology)">apeiron</a>), which must be considered a material form" <a href="#CITEREFHomann-Wedeking1968">Homann-Wedeking (1968)</a>, p. 63</span> </li> <li id="cite_note-polykleitos-266"><span class="mw-cite-backlink"><b><a href="#cite_ref-polykleitos_266-0">^</a></b></span> <span class="reference-text">"Each part (finger, palm, arm, etc) transmitted its individual existence to the next, and then to the whole": <i>Canon of Polykleitos</i>, also <a href="/wiki/Plotinus" title="Plotinus">Plotinus</a>, <i>Ennead</i> I.vi.i: Nigel Spivey, pp. 290–294.<sup class="noprint Inline-Template" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citing_sources#What_information_to_include" title="Wikipedia:Citing sources"><span title="A complete citation is needed. (June 2024)">full citation needed</span></a></i>]</sup></span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Citations">Citations</h2></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239543626"><div class="reflist reflist-columns references-column-width" style="column-width: 20em;"> <ol class="references"> <li id="cite_note-FOOTNOTEJoost-Gaugier2006143-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006143_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006143_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006143_1-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 143.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200611-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200611_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200611_5-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200611_5-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200611_5-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200611_5-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 11.</span> </li> <li id="cite_note-FOOTNOTECelenza2010796-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECelenza2010796_6-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCelenza2010">Celenza (2010)</a>, p. 796.</span> </li> <li id="cite_note-FOOTNOTEFerguson20084-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson20084_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson20084_7-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 4.</span> </li> <li id="cite_note-FOOTNOTEFerguson20083–5-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson20083–5_8-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 3–5.</span> </li> <li id="cite_note-FOOTNOTEGregory201521–23-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGregory201521–23_9-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 21–23.</span> </li> <li id="cite_note-FOOTNOTECopleston200329-10"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECopleston200329_10-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200329_10-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200329_10-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCopleston2003">Copleston (2003)</a>, p. 29.</span> </li> <li id="cite_note-FOOTNOTEKahn20012-11"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20012_11-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20012_11-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20012_11-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 2.</span> </li> <li id="cite_note-FOOTNOTEBurkert1985299-12"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1985299_12-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1985299_12-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1985">Burkert (1985)</a>, p. 299.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200612-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200612_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200612_13-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200612_13-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 12.</span> </li> <li id="cite_note-FOOTNOTERiedweg200562-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200562_14-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 62.</span> </li> <li id="cite_note-FOOTNOTECopleston200331-16"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECopleston200331_16-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200331_16-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200331_16-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200331_16-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200331_16-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCopleston2003">Copleston (2003)</a>, p. 31.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200612–13-17"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200612–13_17-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200612–13_17-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 12–13.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200613-18"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200613_18-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200613_18-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200613_18-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 13.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200614–15-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200614–15_19-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 14–15.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200616-20"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200616_20-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200616_20-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200616_20-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200616_20-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200616_20-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200616_20-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 16.</span> </li> <li id="cite_note-FOOTNOTEMarincola200159-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMarincola200159_22-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMarincola2001">Marincola (2001)</a>, p. 59.</span> </li> <li id="cite_note-FOOTNOTERoberts20112-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERoberts20112_23-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRoberts2011">Roberts (2011)</a>, p. 2.</span> </li> <li id="cite_note-FOOTNOTESparks199858-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTESparks199858_24-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFSparks1998">Sparks (1998)</a>, p. 58.</span> </li> <li id="cite_note-FOOTNOTEAsheriLloydCorcella2007-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEAsheriLloydCorcella2007_25-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFAsheriLloydCorcella2007">Asheri, Lloyd & Corcella (2007)</a>.</span> </li> <li id="cite_note-FOOTNOTECameron2004156-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECameron2004156_26-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCameron2004">Cameron (2004)</a>, p. 156.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200688-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200688_27-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 88.</span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-28">^</a></b></span> <span class="reference-text">He alludes to it himself in <a href="#CITEREFAristot._Met._1">Aristot. Met. 1</a>, 986a</span> </li> <li id="cite_note-FOOTNOTEBurkert1972109-29"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972109_29-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972109_29-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972109_29-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972109_29-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 109.</span> </li> <li id="cite_note-FOOTNOTEKahn20015-30"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20015_30-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20015_30-11"><sup><i><b>l</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 5.</span> </li> <li id="cite_note-FOOTNOTEZhmud20129-31"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEZhmud20129_31-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud20129_31-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud20129_31-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud20129_31-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud20129_31-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, p. 9.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972106-32"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972106_32-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972106_32-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972106_32-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 106.</span> </li> <li id="cite_note-FOOTNOTEHdt._4297§95-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHdt._4297§95_33-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHdt._4">Hdt. 4</a>, p. 297, §95.</span> </li> <li id="cite_note-FOOTNOTEKahn20016-34"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20016_34-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20016_34-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20016_34-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20016_34-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20016_34-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20016_34-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 6.</span> </li> <li id="cite_note-FOOTNOTEFerguson200812-35"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson200812_35-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200812_35-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 12.</span> </li> <li id="cite_note-FOOTNOTEKenny20049-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKenny20049_36-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKenny2004">Kenny (2004)</a>, p. 9.</span> </li> <li id="cite_note-FOOTNOTEFerguson200811-37"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson200811_37-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 11.</span> </li> <li id="cite_note-FOOTNOTEPorphyry,_Vit._Pyth§1,_§10-38"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§1,_§10_38-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §1, §10.</span> </li> <li id="cite_note-39"><span class="mw-cite-backlink"><b><a href="#cite_ref-39">^</a></b></span> <span class="reference-text"><a href="#CITEREFStrom">Strom</a>, 1.62(2), cit. <a href="#CITEREFAfonasin2012">Afonasin (2012)</a>, p. 15</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200621-40"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200621_40-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 21.</span> </li> <li id="cite_note-FOOTNOTEFerguson200815-42"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson200815_42-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 15.</span> </li> <li id="cite_note-FOOTNOTETaub2017[httpsbooksgooglecombooksidodm7DgAAQBAJpgPA122_122]-43"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTETaub2017[httpsbooksgooglecombooksidodm7DgAAQBAJpgPA122_122]_43-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFTaub2017">Taub (2017)</a>, p. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=odm7DgAAQBAJ&pg=PA122">122</a>.</span> </li> <li id="cite_note-44"><span class="mw-cite-backlink"><b><a href="#cite_ref-44">^</a></b></span> <span class="reference-text"><a href="/wiki/Apollonius_of_Tyana" title="Apollonius of Tyana">Apollonius of Tyana</a> ap. <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §2</span> </li> <li id="cite_note-FOOTNOTERiedweg200559-45"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200559_45-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200559_45-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200559_45-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 59.</span> </li> <li id="cite_note-FOOTNOTEPorphyry,_Vit._Pyth§9-46"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§9_46-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §9.</span> </li> <li id="cite_note-FOOTNOTERiedweg200545–47-47"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200545–47_47-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 45–47.</span> </li> <li id="cite_note-FOOTNOTERiedweg200544–45-48"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200544–45_48-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200544–45_48-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 44–45.</span> </li> <li id="cite_note-FOOTNOTERiedweg20057-49"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20057_49-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20057_49-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20057_49-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 7.</span> </li> <li id="cite_note-FOOTNOTERiedweg20057–8-50"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20057–8_50-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20057–8_50-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 7–8.</span> </li> <li id="cite_note-FOOTNOTEGregory201522–23-51"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGregory201522–23_51-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 22–23.</span> </li> <li id="cite_note-FOOTNOTEPorphyry,_Vit._Pyth§6-52"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§6_52-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §6.</span> </li> <li id="cite_note-FOOTNOTEPlutarch,_de_Iside_et_Osiride25§354e-53"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPlutarch,_de_Iside_et_Osiride25§354e_53-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPlutarch,_de_Iside_et_Osiride">Plutarch, de Iside et Osiride</a>, p. 25, §354e.</span> </li> <li id="cite_note-FOOTNOTEPress200383-54"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPress200383_54-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPress2003">Press (2003)</a>, p. 83.</span> </li> <li id="cite_note-55"><span class="mw-cite-backlink"><b><a href="#cite_ref-55">^</a></b></span> <span class="reference-text">cf. Antiphon. ap. <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §7; Isocrates, <i>Busiris</i>, 28–9; <a href="#CITEREFCicero,_de_Finibus">Cicero, de Finibus</a>, pp. 489–493, §5.29; Strabo, 14.1.16.</span> </li> <li id="cite_note-FOOTNOTEDiog_VIII§1.1,_§1.3-56"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDiog_VIII§1.1,_§1.3_56-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.1, §1.3.</span> </li> <li id="cite_note-FOOTNOTERiedweg20058-57"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20058_57-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058_57-11"><sup><i><b>l</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 8.</span> </li> <li id="cite_note-FOOTNOTEDiog_VIII1.1,_1.3-58"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDiog_VIII1.1,_1.3_58-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, 1.1, 1.3.</span> </li> <li id="cite_note-FOOTNOTEDillon2005163-59"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDillon2005163_59-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDillon2005">Dillon (2005)</a>, p. 163.</span> </li> <li id="cite_note-60"><span class="mw-cite-backlink"><b><a href="#cite_ref-60">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §2; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.2</span> </li> <li id="cite_note-FOOTNOTEIamblichus,_Vit._Pyth§9-61"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEIamblichus,_Vit._Pyth§9_61-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEIamblichus,_Vit._Pyth§9_61-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §9.</span> </li> <li id="cite_note-FOOTNOTEPorphyry,_Vit._Pyth§2-62"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§2_62-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §2.</span> </li> <li id="cite_note-FOOTNOTERiedweg20058–9-63"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20058–9_63-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20058–9_63-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 8–9.</span> </li> <li id="cite_note-FOOTNOTERiedweg20059-64"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20059_64-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20059_64-7"><sup><i><b>h</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 9.</span> </li> <li id="cite_note-65"><span class="mw-cite-backlink"><b><a href="#cite_ref-65">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_I">Diog I</a>, 1.13, 1.15; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.2, §1.40; <a href="#CITEREFCicero,_de_Div._I">Cicero, de Div. I</a>, p. 345, §49.122</span> </li> <li id="cite_note-FOOTNOTEBoyerMerzbach201144-66"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBoyerMerzbach201144_66-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBoyerMerzbach2011">Boyer & Merzbach (2011)</a>, p. 44.</span> </li> <li id="cite_note-FOOTNOTEZhmud20122,_16-67"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEZhmud20122,_16_67-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud20122,_16_67-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, pp. 2, 16.</span> </li> <li id="cite_note-FOOTNOTEDiog_VIII§1.1,_§1.8-68"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDiog_VIII§1.1,_§1.8_68-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.1, §1.8.</span> </li> <li id="cite_note-FOOTNOTEWaithe198711-69"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWaithe198711_69-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWaithe1987">Waithe (1987)</a>, p. 11.</span> </li> <li id="cite_note-FOOTNOTEMalone200922-70"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMalone200922_70-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMalone2009">Malone (2009)</a>, p. 22.</span> </li> <li id="cite_note-FOOTNOTEPorphyry,_Vit._Pyth§41-71"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§41_71-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §41.</span> </li> <li id="cite_note-FOOTNOTEMénage198448-72"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEMénage198448_72-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFMénage1984">Ménage (1984)</a>, p. 48.</span> </li> <li id="cite_note-73"><span class="mw-cite-backlink"><b><a href="#cite_ref-73">^</a></b></span> <span class="reference-text"><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §25; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §17; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.3</span> </li> <li id="cite_note-74"><span class="mw-cite-backlink"><b><a href="#cite_ref-74">^</a></b></span> <span class="reference-text">Aristoxenus <a href="https://en.wiktionary.org/wiki/ap." class="extiw" title="wikt:ap.">ap.</a> <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.8, §1.21; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. 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Pyth</a>, §28; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. 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Pyth</a>, §18; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. 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href="#cite_ref-FOOTNOTEPomeroy20131_90-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPomeroy2013">Pomeroy (2013)</a>, p. 1.</span> </li> <li id="cite_note-FOOTNOTEPomeroy2013xvi-91"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEPomeroy2013xvi_91-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPomeroy2013xvi_91-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEPomeroy2013xvi_91-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFPomeroy2013">Pomeroy (2013)</a>, p. xvi.</span> </li> <li id="cite_note-FOOTNOTEFerguson200858-92"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson200858_92-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 58.</span> </li> <li id="cite_note-FOOTNOTEFerguson200859-93"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson200859_93-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-12"><sup><i><b>m</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-13"><sup><i><b>n</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-14"><sup><i><b>o</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-15"><sup><i><b>p</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200859_93-16"><sup><i><b>q</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 59.</span> </li> <li id="cite_note-94"><span class="mw-cite-backlink"><b><a href="#cite_ref-94">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite class="citation cs1"><a rel="nofollow" class="external text" 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href="#cite_ref-FOOTNOTEKahn20016–7_96-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 6–7.</span> </li> <li id="cite_note-FOOTNOTERiedweg200519-97"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200519_97-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200519_97-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 19.</span> </li> <li id="cite_note-FOOTNOTEKahn20017-98"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20017_98-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20017_98-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20017_98-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20017_98-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 7.</span> </li> <li id="cite_note-FOOTNOTERiedweg200519–20-99"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200519–20_99-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200519–20_99-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200519–20_99-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 19–20.</span> </li> <li id="cite_note-FOOTNOTEPlutarch,_de_Gen._Socr419§583a-100"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPlutarch,_de_Gen._Socr419§583a_100-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPlutarch,_de_Gen._Socr">Plutarch, de Gen. Socr</a>, p. 419, §583a.</span> </li> <li id="cite_note-101"><span class="mw-cite-backlink"><b><a href="#cite_ref-101">^</a></b></span> <span class="reference-text"><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §255–§259; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §54–§57; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.39; comp. <a href="#CITEREFPlutarch,_de_Gen._Socr">Plutarch, de Gen. Socr</a>, p. 419, §583a</span> </li> <li id="cite_note-FOOTNOTERiedweg200520-102"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200520_102-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200520_102-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200520_102-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200520_102-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200520_102-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200520_102-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200520_102-6"><sup><i><b>g</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 20.</span> </li> <li id="cite_note-FOOTNOTEGrant1989278-103"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGrant1989278_103-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGrant1989">Grant (1989)</a>, p. 278.</span> </li> <li id="cite_note-FOOTNOTESimoons1998225–228-104"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTESimoons1998225–228_104-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFSimoons1998">Simoons (1998)</a>, pp. 225–228.</span> </li> <li id="cite_note-FOOTNOTEBruhn200566-105"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBruhn200566_105-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBruhn200566_105-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBruhn2005">Bruhn (2005)</a>, p. 66.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972106–109-106"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972106–109_106-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972106–109_106-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 106–109.</span> </li> <li id="cite_note-FOOTNOTEKahn20015–6-107"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn20015–6_107-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 5–6.</span> </li> <li id="cite_note-FOOTNOTEKahn20019–11-108"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn20019–11_108-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 9–11.</span> </li> <li id="cite_note-FOOTNOTEBurkert197229–30-109"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert197229–30_109-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert197229–30_109-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 29–30.</span> </li> <li id="cite_note-FOOTNOTEKahn200111-110"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn200111_110-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn200111_110-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn200111_110-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 11.</span> </li> <li id="cite_note-FOOTNOTEZhmud2012232-111"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEZhmud2012232_111-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud2012232_111-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, p. 232.</span> </li> <li id="cite_note-FOOTNOTEBurkert1985300–301-112"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1985300–301_112-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1985">Burkert (1985)</a>, pp. 300–301.</span> </li> <li id="cite_note-FOOTNOTEGregory201524–25-113"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201524–25_113-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201524–25_113-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 24–25.</span> </li> <li id="cite_note-FOOTNOTECopleston200330–31-114"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECopleston200330–31_114-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200330–31_114-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECopleston200330–31_114-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCopleston2003">Copleston (2003)</a>, pp. 30–31.</span> </li> <li id="cite_note-115"><span class="mw-cite-backlink"><b><a href="#cite_ref-115">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.36, comp. <a href="#CITEREFAristot._De_Anima">Aristot. De Anima</a>, I. 2–3; <a href="#CITEREFHdt._2">Hdt. 2</a>, p. 425, §123</span> </li> <li id="cite_note-FOOTNOTEGregory201525-116"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGregory201525_116-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, p. 25.</span> </li> <li id="cite_note-FOOTNOTEKahn200112-117"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200112_117-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 12.</span> </li> <li id="cite_note-FOOTNOTEDiog_VIII§1.3–§1.5-118"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDiog_VIII§1.3–§1.5_118-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.3–§1.5.</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan2013164–167-119"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECornelliMcKirahan2013164–167_119-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, pp. 164–167.</span> </li> <li id="cite_note-120"><span class="mw-cite-backlink"><b><a href="#cite_ref-120">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §26; Pausanias, ii. 17; Horace, <i>Od.</i> i. 28,1. 10</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan2013164–165-121"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECornelliMcKirahan2013164–165_121-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, pp. 164–165.</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan2013165–166-122"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECornelliMcKirahan2013165–166_122-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, pp. 165–166.</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan2013167-123"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013167_123-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013167_123-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013167_123-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, p. 167.</span> </li> <li id="cite_note-124"><span class="mw-cite-backlink"><b><a href="#cite_ref-124">^</a></b></span> <span class="reference-text">Aulus Gellius, iv. 11</span> </li> <li id="cite_note-FOOTNOTERiedweg200529–30-125"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200529–30_125-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200529–30_125-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 29–30.</span> </li> <li id="cite_note-FOOTNOTEGregory201538–39-126"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201538–39_126-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201538–39_126-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 38–39.</span> </li> <li id="cite_note-FOOTNOTERiedweg200530-127"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200530_127-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200530_127-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200530_127-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 30.</span> </li> <li id="cite_note-128"><span class="mw-cite-backlink"><b><a href="#cite_ref-128">^</a></b></span> <span class="reference-text"><a href="#CITEREFCicero,_de_Div._I">Cicero, de Div. I</a>, pp. 229, 345, §3.5, §49.122; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §29</span> </li> <li id="cite_note-129"><span class="mw-cite-backlink"><b><a href="#cite_ref-129">^</a></b></span> <span class="reference-text"><a href="#CITEREFBarry1999">Barry (1999)</a>, pp. 24, 30–31, 83; <a href="#CITEREFAcevedo2020">Acevedo (2020)</a>, pp. 42–44, 50</span> </li> <li id="cite_note-FOOTNOTEBarry199930–31-130"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBarry199930–31_130-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBarry1999">Barry (1999)</a>, pp. 30–31.</span> </li> <li id="cite_note-pythmenes1-131"><span class="mw-cite-backlink">^ <a href="#cite_ref-pythmenes1_131-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-pythmenes1_131-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBarry1999">Barry (1999)</a>, pp. 120, 194–196; <a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 32–34; <a href="#CITEREFKalvesmaki2013">Kalvesmaki (2013)</a>, pp. 82–83</span> </li> <li id="cite_note-132"><span class="mw-cite-backlink"><b><a href="#cite_ref-132">^</a></b></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, p. 277</span> </li> <li id="cite_note-pythmenes2-133"><span class="mw-cite-backlink">^ <a href="#cite_ref-pythmenes2_133-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-pythmenes2_133-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-pythmenes2_133-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBarry1999">Barry (1999)</a>, pp. 120, 124, 194–196; <a href="#CITEREFKalvesmaki2013">Kalvesmaki (2013)</a>, pp. 82–83</span> </li> <li id="cite_note-134"><span class="mw-cite-backlink"><b><a href="#cite_ref-134">^</a></b></span> <span class="reference-text"><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §25; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §17; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.3, §1.13; <a href="#CITEREFCicero,_Tusc._Qu">Cicero, Tusc. Qu</a>, pp. 431–433, §5.3.8–§5.3.9</span> </li> <li id="cite_note-FOOTNOTEBruhn200565–66-135"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBruhn200565–66_135-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBruhn200565–66_135-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBruhn200565–66_135-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBruhn2005">Bruhn (2005)</a>, pp. 65–66.</span> </li> <li id="cite_note-FOOTNOTEGregory201528–29-136"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201528–29_136-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201528–29_136-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201528–29_136-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201528–29_136-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 28–29.</span> </li> <li id="cite_note-FOOTNOTERiedweg200529-137"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200529_137-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200529_137-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200529_137-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 29.</span> </li> <li id="cite_note-FOOTNOTEKahn20011–2-138"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20011–2_138-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20011–2_138-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20011–2_138-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20011–2_138-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 1–2.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972467–468-139"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972467–468_139-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972467–468_139-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 467–468.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972265-140"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972265_140-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 265.</span> </li> <li id="cite_note-FOOTNOTEKahn200127-141"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200127_141-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 27.</span> </li> <li id="cite_note-FOOTNOTERiedweg200523-142"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200523_142-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200523_142-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 23.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006170–172-143"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006170–172_143-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006170–172_143-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006170–172_143-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 170–172.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006172-144"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006172_144-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006172_144-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006172_144-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 172.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972433-145"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972433_145-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972433_145-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 433.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972467-146"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972467_146-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 467.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006170-147"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006170_147-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 170.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006161-148"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006161_148-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006161_148-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006161_148-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 161.</span> </li> <li id="cite_note-FOOTNOTEIamblichus,_Vit._Pyth§29-149"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEIamblichus,_Vit._Pyth§29_149-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §29.</span> </li> <li id="cite_note-FOOTNOTEGregory201528-150"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201528_150-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201528_150-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, p. 28.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200687–88-151"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200687–88_151-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 87–88.</span> </li> <li id="cite_note-FOOTNOTEKahn20012–3-152"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20012–3_152-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20012–3_152-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20012–3_152-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 2–3.</span> </li> <li id="cite_note-FOOTNOTEKahn20013-153"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn20013_153-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 3.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972428–433-154"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972428–433_154-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972428–433_154-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 428–433.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972465-155"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972465_155-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 465.</span> </li> <li id="cite_note-156"><span class="mw-cite-backlink"><b><a href="#cite_ref-156">^</a></b></span> <span class="reference-text"><a href="#CITEREFPlato,_Republic">Plato, Republic</a>, X 600a–b; Isocrates, <i>Busiris</i>, 28</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan2013168-157"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013168_157-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013168_157-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013168_157-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013168_157-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, p. 168.</span> </li> <li id="cite_note-FOOTNOTEGrant1989277-158"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGrant1989277_158-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGrant1989">Grant (1989)</a>, p. 277.</span> </li> <li id="cite_note-FOOTNOTEPorphyry,_Vit._Pyth§19-159"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPorphyry,_Vit._Pyth§19_159-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §19.</span> </li> <li id="cite_note-160"><span class="mw-cite-backlink"><b><a href="#cite_ref-160">^</a></b></span> <span class="reference-text">Thirlwall, <i>Hist. of Greece</i>, vol. ii. p. 148</span> </li> <li id="cite_note-FOOTNOTERiedweg200531-161"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200531_161-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200531_161-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200531_161-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200531_161-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 31.</span> </li> <li id="cite_note-162"><span class="mw-cite-backlink"><b><a href="#cite_ref-162">^</a></b></span> <span class="reference-text">comp. <a href="#CITEREFCicero,_de_Leg">Cicero, de Leg</a>, p. 335, §1.12.34; <a href="#CITEREFCicero,_de_Off">Cicero, de Off</a>, p. 59, §1.17.56; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.10</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan201365-163"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECornelliMcKirahan201365_163-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan201365_163-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, p. 65.</span> </li> <li id="cite_note-164"><span class="mw-cite-backlink"><b><a href="#cite_ref-164">^</a></b></span> <span class="reference-text">Aristonexus ap. <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §94, §101, 229, etc.; comp. the story of Damon and Phintias; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §60; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §233</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan201368–69-165"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECornelliMcKirahan201368–69_165-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, pp. 68–69.</span> </li> <li id="cite_note-166"><span class="mw-cite-backlink"><b><a href="#cite_ref-166">^</a></b></span> <span class="reference-text"><a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §98; Strabo, vi.</span> </li> <li id="cite_note-FOOTNOTEKenny200410-167"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKenny200410_167-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200410_167-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200410_167-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200410_167-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200410_167-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200410_167-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKenny2004">Kenny (2004)</a>, p. 10.</span> </li> <li id="cite_note-168"><span class="mw-cite-backlink"><b><a href="#cite_ref-168">^</a></b></span> <span class="reference-text"><a href="#CITEREFDillonHershbell1991">Dillon & Hershbell (1991)</a>, p. 14; <a href="#CITEREFO'Meara1989">O'Meara (1989)</a>, pp. 35–40</span> </li> <li id="cite_note-FOOTNOTEKahn200152-169"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200152_169-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 52.</span> </li> <li id="cite_note-FOOTNOTEGregory201531-170"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201531_170-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201531_170-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201531_170-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201531_170-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201531_170-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, p. 31.</span> </li> <li id="cite_note-171"><span class="mw-cite-backlink"><b><a href="#cite_ref-171">^</a></b></span> <span class="reference-text">Aelian, <i>Varia Historia</i>, ii. 26; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.13; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §8, §91, §141</span> </li> <li id="cite_note-FOOTNOTERiedweg200533–34-172"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200533–34_172-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 33–34.</span> </li> <li id="cite_note-173"><span class="mw-cite-backlink"><b><a href="#cite_ref-173">^</a></b></span> <span class="reference-text">Scholion ad Aristophanes, <i>Nub.</i> 611; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §237–§238</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan201369-174"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECornelliMcKirahan201369_174-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan201369_174-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, p. 69.</span> </li> <li id="cite_note-FOOTNOTERiedweg200564–67-175"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200564–67_175-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 64–67.</span> </li> <li id="cite_note-FOOTNOTERiedweg200564-176"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200564_176-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 64.</span> </li> <li id="cite_note-FOOTNOTERiedweg200565-177"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200565_177-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 65.</span> </li> <li id="cite_note-FOOTNOTEZhmud2012200-178"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEZhmud2012200_178-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud2012200_178-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, p. 200.</span> </li> <li id="cite_note-FOOTNOTERiedweg200565–67-179"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200565–67_179-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 65–67.</span> </li> <li id="cite_note-FOOTNOTERiedweg200565–66-180"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200565–66_180-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 65–66.</span> </li> <li id="cite_note-FOOTNOTERiedweg200566–67-181"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200566–67_181-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 66–67.</span> </li> <li id="cite_note-FOOTNOTERiedweg200566-182"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200566_182-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200566_182-8"><sup><i><b>i</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 66.</span> </li> <li id="cite_note-FOOTNOTEPomeroy2013xvi–xvii-183"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPomeroy2013xvi–xvii_183-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPomeroy2013">Pomeroy (2013)</a>, pp. xvi–xvii.</span> </li> <li id="cite_note-184"><span class="mw-cite-backlink"><b><a href="#cite_ref-184">^</a></b></span> <span class="reference-text">comp. <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §32; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §96</span> </li> <li id="cite_note-FOOTNOTEZhmud2012137,_200-185"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEZhmud2012137,_200_185-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, pp. 137, 200.</span> </li> <li id="cite_note-FOOTNOTECopleston200330-186"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECopleston200330_186-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCopleston2003">Copleston (2003)</a>, p. 30.</span> </li> <li id="cite_note-187"><span class="mw-cite-backlink"><b><a href="#cite_ref-187">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.19, §1.34; Aulus Gellius, iv. 11; <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §34, <i>de Abst.</i> i. 26, <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §98</span> </li> <li id="cite_note-FOOTNOTEPlutarch,_de_Esu_Carn540–545,_557–571§993,_§996,_§997-188"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPlutarch,_de_Esu_Carn540–545,_557–571§993,_§996,_§997_188-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPlutarch,_de_Esu_Carn">Plutarch, de Esu Carn</a>, pp. 540–545, 557–571, §993, §996, §997.</span> </li> <li id="cite_note-FOOTNOTEKahn20019-189"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn20019_189-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn20019_189-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 9.</span> </li> <li id="cite_note-FOOTNOTEKenny200410–11-190"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKenny200410–11_190-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKenny2004">Kenny (2004)</a>, pp. 10–11.</span> </li> <li id="cite_note-192"><span class="mw-cite-backlink"><b><a href="#cite_ref-192">^</a></b></span> <span class="reference-text">Eudoxus, frg. 325</span> </li> <li id="cite_note-FOOTNOTEZhmud2012235-193"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEZhmud2012235_193-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud2012235_193-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud2012235_193-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEZhmud2012235_193-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFZhmud2012">Zhmud (2012)</a>, p. 235.</span> </li> <li id="cite_note-194"><span class="mw-cite-backlink"><b><a href="#cite_ref-194">^</a></b></span> <span class="reference-text">Aristoxenus ap. <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.20; comp. <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §7; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §85, §108</span> </li> <li id="cite_note-195"><span class="mw-cite-backlink"><b><a href="#cite_ref-195">^</a></b></span> <span class="reference-text">Aristoxenus ap. <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.20</span> </li> <li id="cite_note-196"><span class="mw-cite-backlink"><b><a href="#cite_ref-196">^</a></b></span> <span class="reference-text">comp. <a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §7; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §85, §108</span> </li> <li id="cite_note-FOOTNOTERiedweg20051-197"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20051_197-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20051_197-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 1.</span> </li> <li id="cite_note-FOOTNOTERiedweg20052-198"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg20052_198-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20052_198-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20052_198-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20052_198-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20052_198-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20052_198-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg20052_198-6"><sup><i><b>g</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 2.</span> </li> <li id="cite_note-FOOTNOTEGregory201530–31-199"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGregory201530–31_199-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 30–31.</span> </li> <li id="cite_note-FOOTNOTEGregory201530-200"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201530_200-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201530_200-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201530_200-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201530_200-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, p. 30.</span> </li> <li id="cite_note-FOOTNOTEKenny200411-201"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKenny200411_201-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200411_201-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKenny200411_201-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKenny2004">Kenny (2004)</a>, p. 11.</span> </li> <li id="cite_note-FOOTNOTEFerguson200860-202"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson200860_202-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200860_202-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200860_202-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200860_202-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200860_202-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 60.</span> </li> <li id="cite_note-203"><span class="mw-cite-backlink"><b><a href="#cite_ref-203">^</a></b></span> <span class="reference-text"><a href="#CITEREFPorphyry,_Vit._Pyth">Porphyry, Vit. Pyth</a>, §20; <a href="#CITEREFIamblichus,_Vit._Pyth">Iamblichus, Vit. Pyth</a>, §31, §140; Aelian, <i>Varia Historia</i>, ii. 26; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.36</span> </li> <li id="cite_note-FOOTNOTEMcKeown2013155-204"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEMcKeown2013155_204-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEMcKeown2013155_204-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFMcKeown2013">McKeown (2013)</a>, p. 155.</span> </li> <li id="cite_note-205"><span class="mw-cite-backlink"><b><a href="#cite_ref-205">^</a></b></span> <span class="reference-text">Comp. Herodian, iv. 94, etc.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972144-206"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972144_206-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 144.</span> </li> <li id="cite_note-FOOTNOTEFerguson200810-207"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson200810_207-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 10.</span> </li> <li id="cite_note-FOOTNOTEFaivre199519–20-208"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFaivre199519–20_208-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFaivre1995">Faivre (1995)</a>, pp. 19–20.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200647-209"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200647_209-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 47.</span> </li> <li id="cite_note-FOOTNOTEFerguson200858–59-210"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson200858–59_210-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200858–59_210-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 58–59.</span> </li> <li id="cite_note-FOOTNOTECornelliMcKirahan2013160-211"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013160_211-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013160_211-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECornelliMcKirahan2013160_211-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCornelliMcKirahan2013">Cornelli & McKirahan (2013)</a>, p. 160.</span> </li> <li id="cite_note-FOOTNOTEFerguson200860–61-212"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson200860–61_212-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 60–61.</span> </li> <li id="cite_note-FOOTNOTEFerguson200861-213"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson200861_213-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200861_213-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200861_213-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200861_213-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson200861_213-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 61.</span> </li> <li id="cite_note-FOOTNOTEGregory201521–22-214"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEGregory201521–22_214-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, pp. 21–22.</span> </li> <li id="cite_note-215"><span class="mw-cite-backlink"><b><a href="#cite_ref-215">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.12; <a href="#CITEREFPlutarch,_Non_posse_suav._vivi_sec._Ep.">Plutarch, Non posse suav. vivi sec. Ep.</a>, pp. 67–71, §1094</span> </li> <li id="cite_note-216"><span class="mw-cite-backlink"><b><a href="#cite_ref-216">^</a></b></span> <span class="reference-text">Porphyry, in <i>Ptol. Harm.</i> p. 213; <a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.12</span> </li> <li id="cite_note-217"><span class="mw-cite-backlink"><b><a href="#cite_ref-217">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.14; Pliny, <i>Hist. Nat.</i> ii. 8.</span> </li> <li id="cite_note-218"><span class="mw-cite-backlink"><b><a href="#cite_ref-218">^</a></b></span> <span class="reference-text"><a href="#CITEREFDiog_VIII">Diog VIII</a>, §1.12, 14, 32.</span> </li> <li id="cite_note-FOOTNOTEKahn200132–33-219"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200132–33_219-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 32–33.</span> </li> <li id="cite_note-FOOTNOTERiedweg200526–27-220"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200526–27_220-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 26–27.</span> </li> <li id="cite_note-FOOTNOTERiedweg200527-221"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200527_221-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200527_221-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200527_221-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200527_221-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200527_221-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200527_221-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 27.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972428-222"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972428_222-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 428.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972429,_462-223"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972429,_462_223-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 429, 462.</span> </li> <li id="cite_note-FOOTNOTEKahn200132-224"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn200132_224-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn200132_224-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 32.</span> </li> <li id="cite_note-FOOTNOTEFerguson20086–7-225"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson20086–7_225-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 6–7.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972429-226"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972429_226-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972429_226-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972429_226-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 429.</span> </li> <li id="cite_note-FOOTNOTEKahn200133-227"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200133_227-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 33.</span> </li> <li id="cite_note-FOOTNOTERiedweg200527–28-229"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg200527–28_229-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 27–28.</span> </li> <li id="cite_note-FOOTNOTEGregory201527-230"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEGregory201527_230-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEGregory201527_230-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFGregory2015">Gregory (2015)</a>, p. 27.</span> </li> <li id="cite_note-FOOTNOTERiedweg200528-231"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg200528_231-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200528_231-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg200528_231-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 28.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972306-232"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972306_232-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972306_232-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, p. 306.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972307–308-233"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBurkert1972307–308_233-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBurkert1972307–308_233-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 307–308.</span> </li> <li id="cite_note-FOOTNOTEBurkert1972306–308-234"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBurkert1972306–308_234-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBurkert1972">Burkert (1972)</a>, pp. 306–308.</span> </li> <li id="cite_note-FOOTNOTEKahn200153-235"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200153_235-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 53.</span> </li> <li id="cite_note-FOOTNOTEDicks197068-236"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEDicks197068_236-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFDicks1970">Dicks (1970)</a>, p. 68.</span> </li> <li id="cite_note-FOOTNOTELangdonFotheringham1928-237"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELangdonFotheringham1928_237-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLangdonFotheringham1928">Langdon & Fotheringham (1928)</a>.</span> </li> <li id="cite_note-FOOTNOTEKahn200155–62-238"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn200155–62_238-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn200155–62_238-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn200155–62_238-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 55–62.</span> </li> <li id="cite_note-FOOTNOTEKahn200148–49-239"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200148–49_239-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 48–49.</span> </li> <li id="cite_note-FOOTNOTEKahn200139-240"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn200139_240-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn200139_240-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 39.</span> </li> <li id="cite_note-FOOTNOTEKahn200139–43-241"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200139–43_241-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 39–43.</span> </li> <li id="cite_note-FOOTNOTEKahn200139–40-242"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200139–40_242-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 39–40.</span> </li> <li id="cite_note-FOOTNOTEKahn200140,_44–45-243"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200140,_44–45_243-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 40, 44–45.</span> </li> <li id="cite_note-FOOTNOTEPlato,_RepublicVII,_530d-244"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEPlato,_RepublicVII,_530d_244-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFPlato,_Republic">Plato, Republic</a>, VII, 530d.</span> </li> <li id="cite_note-FOOTNOTEAristot._Met._1987a-245"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEAristot._Met._1987a_245-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFAristot._Met._1">Aristot. Met. 1</a>, 987a.</span> </li> <li id="cite_note-FOOTNOTEKahn20011-246"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn20011_246-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 1.</span> </li> <li id="cite_note-247"><span class="mw-cite-backlink"><b><a href="#cite_ref-247">^</a></b></span> <span class="reference-text">Tusc. Disput. 1.17.39.</span> </li> <li id="cite_note-FOOTNOTEKahn200155-248"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn200155_248-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 55.</span> </li> <li id="cite_note-FOOTNOTEHare1999117–119-249"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEHare1999117–119_249-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHare1999117–119_249-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHare1999117–119_249-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHare1999117–119_249-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFHare1999">Hare (1999)</a>, pp. 117–119.</span> </li> <li id="cite_note-FOOTNOTECopleston200337-250"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTECopleston200337_250-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFCopleston2003">Copleston (2003)</a>, p. 37.</span> </li> <li id="cite_note-FOOTNOTERussell200833–37-251"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERussell200833–37_251-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRussell2008">Russell (2008)</a>, pp. 33–37.</span> </li> <li id="cite_note-FOOTNOTERussell200837-252"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERussell200837_252-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRussell2008">Russell (2008)</a>, p. 37.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005123–124-253"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg2005123–124_253-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 123–124.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005124-254"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg2005124_254-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 124.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005125–126-255"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg2005125–126_255-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg2005125–126_255-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 125–126.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005125-256"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg2005125_256-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg2005125_256-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg2005125_256-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 125.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005126–127-257"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg2005126–127_257-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 126–127.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006166–181-258"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006166–181_258-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006166–181_258-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 166–181.</span> </li> <li id="cite_note-FOOTNOTEHomann-Wedeking196863-259"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHomann-Wedeking196863_259-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHomann-Wedeking1968">Homann-Wedeking (1968)</a>, p. 63.</span> </li> <li id="cite_note-FOOTNOTEHomann-Wedeking196862-261"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHomann-Wedeking196862_261-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHomann-Wedeking1968">Homann-Wedeking (1968)</a>, p. 62.</span> </li> <li id="cite_note-FOOTNOTECarpenter1921107,_122,_128-262"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTECarpenter1921107,_122,_128_262-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCarpenter1921">Carpenter (1921)</a>, pp. 107, 122, 128.</span> </li> <li id="cite_note-FOOTNOTEHomann-Wedeking196862–63-263"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHomann-Wedeking196862–63_263-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHomann-Wedeking1968">Homann-Wedeking (1968)</a>, pp. 62–63.</span> </li> <li id="cite_note-FOOTNOTEBowra1994166-264"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBowra1994166_264-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBowra1994166_264-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBowra1994">Bowra (1994)</a>, p. 166.</span> </li> <li id="cite_note-FOOTNOTEHomann-Wedeking196862–65-265"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHomann-Wedeking196862–65_265-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHomann-Wedeking1968">Homann-Wedeking (1968)</a>, pp. 62–65.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006154-267"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006154_267-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 154.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006154–156-268"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006154–156_268-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 154–156.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006157–158-269"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006157–158_269-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 157–158.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006158-270"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006158_270-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 158.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006158–159-271"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006158–159_271-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 158–159.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006159-272"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006159_272-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 159.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006159–161-273"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006159–161_273-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 159–161.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006162-274"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006162_274-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier2006162_274-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 162.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006162–164-275"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006162–164_275-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 162–164.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006167–168-276"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006167–168_276-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 167–168.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006168-277"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006168_277-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 168.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier2006169–170-278"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier2006169–170_278-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 169–170.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200657–65-279"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200657–65_279-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 57–65.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200657-280"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200657_280-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200657_280-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200657_280-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 57.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200657–58-281"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200657–58_281-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 57–58.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200658–59-282"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJoost-Gaugier200658–59_282-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, pp. 58–59.</span> </li> <li id="cite_note-FOOTNOTEJoost-Gaugier200659-283"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEJoost-Gaugier200659_283-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEJoost-Gaugier200659_283-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFJoost-Gaugier2006">Joost-Gaugier (2006)</a>, p. 59.</span> </li> <li id="cite_note-FOOTNOTECelenza2010798-284"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTECelenza2010798_284-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-5"><sup><i><b>f</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-6"><sup><i><b>g</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-7"><sup><i><b>h</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-8"><sup><i><b>i</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-9"><sup><i><b>j</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-10"><sup><i><b>k</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-11"><sup><i><b>l</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-12"><sup><i><b>m</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-13"><sup><i><b>n</b></i></sup></a> <a href="#cite_ref-FOOTNOTECelenza2010798_284-14"><sup><i><b>o</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFCelenza2010">Celenza (2010)</a>, p. 798.</span> </li> <li id="cite_note-FOOTNOTELindberg1978-285"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELindberg1978_285-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLindberg1978">Lindberg (1978)</a>.</span> </li> <li id="cite_note-FOOTNOTELindberg2013-286"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTELindberg2013_286-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFLindberg2013">Lindberg (2013)</a>.</span> </li> <li id="cite_note-FOOTNOTERusso20045–87,_especially_51–53-287"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERusso20045–87,_especially_51–53_287-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERusso20045–87,_especially_51–53_287-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERusso20045–87,_especially_51–53_287-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRusso2004">Russo (2004)</a>, pp. 5–87, especially 51–53.</span> </li> <li id="cite_note-FOOTNOTEKahn2001160-288"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn2001160_288-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn2001160_288-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 160.</span> </li> <li id="cite_note-FOOTNOTEKahn2001161–171-289"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn2001161–171_289-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, pp. 161–171.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008265-290"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008265_290-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 265.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008264–274-291"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson2008264–274_291-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson2008264–274_291-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 264–274.</span> </li> <li id="cite_note-FOOTNOTEKahn2001162-292"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEKahn2001162_292-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 162.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008274-293"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008274_293-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 274.</span> </li> <li id="cite_note-FOOTNOTEJames1993142-294"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEJames1993142_294-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFJames1993">James (1993)</a>, p. 142.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008279-295"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008279_295-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 279.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008279–280-296"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson2008279–280_296-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson2008279–280_296-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 279–280.</span> </li> <li id="cite_note-FOOTNOTEKahn2001172-297"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEKahn2001172_297-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEKahn2001172_297-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFKahn2001">Kahn (2001)</a>, p. 172.</span> </li> <li id="cite_note-FOOTNOTEWhitehead195336–37-298"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWhitehead195336–37_298-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWhitehead1953">Whitehead (1953)</a>, pp. 36–37.</span> </li> <li id="cite_note-FOOTNOTEWhitehead195336-299"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEWhitehead195336_299-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFWhitehead1953">Whitehead (1953)</a>, p. 36.</span> </li> <li id="cite_note-FOOTNOTEBorlik2011192-300"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBorlik2011192_300-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011192_300-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBorlik2011">Borlik (2011)</a>, p. 192.</span> </li> <li id="cite_note-FOOTNOTEBorlik2011189-301"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEBorlik2011189_301-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFBorlik2011">Borlik (2011)</a>, p. 189.</span> </li> <li id="cite_note-FOOTNOTEBorlik2011189–190-302"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBorlik2011189–190_302-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011189–190_302-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBorlik2011">Borlik (2011)</a>, pp. 189–190.</span> </li> <li id="cite_note-FOOTNOTEBorlik2011190-303"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBorlik2011190_303-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011190_303-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011190_303-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011190_303-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011190_303-4"><sup><i><b>e</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBorlik2011190_303-5"><sup><i><b>f</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBorlik2011">Borlik (2011)</a>, p. 190.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008282-304"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008282_304-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 282.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008294-305"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFerguson2008294_305-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFerguson2008294_305-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 294.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005127–128-306"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg2005127–128_306-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg2005127–128_306-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, pp. 127–128.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005128-307"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTERiedweg2005128_307-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg2005128_307-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTERiedweg2005128_307-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 128.</span> </li> <li id="cite_note-FOOTNOTEFrench200230-308"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEFrench200230_308-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFrench200230_308-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFrench200230_308-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEFrench200230_308-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFFrench2002">French (2002)</a>, p. 30.</span> </li> <li id="cite_note-FOOTNOTERiedweg2005133-309"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTERiedweg2005133_309-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFRiedweg2005">Riedweg (2005)</a>, p. 133.</span> </li> <li id="cite_note-FOOTNOTESherman199515-310"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTESherman199515_310-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTESherman199515_310-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFSherman1995">Sherman (1995)</a>, p. 15.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008284–288-311"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008284–288_311-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 284–288.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008287–288-312"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008287–288_312-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 287–288.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008286–287-313"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008286–287_313-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, pp. 286–287.</span> </li> <li id="cite_note-FOOTNOTEFerguson2008288-314"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEFerguson2008288_314-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFFerguson2008">Ferguson (2008)</a>, p. 288.</span> </li> <li id="cite_note-FOOTNOTEHaag201389-315"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEHaag201389_315-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHaag201389_315-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHaag201389_315-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFHaag2013">Haag (2013)</a>, p. 89.</span> </li> <li id="cite_note-FOOTNOTEHaag201390-316"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHaag201390_316-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHaag2013">Haag (2013)</a>, p. 90.</span> </li> <li id="cite_note-FOOTNOTEHaag201390–91-317"><span class="mw-cite-backlink"><b><a href="#cite_ref-FOOTNOTEHaag201390–91_317-0">^</a></b></span> <span class="reference-text"><a href="#CITEREFHaag2013">Haag (2013)</a>, pp. 90–91.</span> </li> <li id="cite_note-FOOTNOTEHaag201391-318"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEHaag201391_318-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHaag201391_318-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEHaag201391_318-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFHaag2013">Haag (2013)</a>, p. 91.</span> </li> <li id="cite_note-FOOTNOTEBregman2002186-319"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEBregman2002186_319-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBregman2002186_319-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBregman2002186_319-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-FOOTNOTEBregman2002186_319-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFBregman2002">Bregman (2002)</a>, p. 186.</span> </li> <li id="cite_note-Collins-320"><span class="mw-cite-backlink"><b><a href="#cite_ref-Collins_320-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation cs1"><a rel="nofollow" class="external text" href="https://www.collinsdictionary.com/dictionary/english/pythagoras?showCookiePolicy=true"><i>British: Pythagoras</i></a>. Collins Dictionary. n.d<span class="reference-accessdate">. Retrieved <span class="nowrap">25 September</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=British%3A+Pythagoras&rft.pub=Collins+Dictionary&rft_id=http%3A%2F%2Fwww.collinsdictionary.com%2Fdictionary%2Fenglish%2Fpythagoras%3FshowCookiePolicy%3Dtrue&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></span> </li> <li id="cite_note-Collins2-321"><span class="mw-cite-backlink"><b><a href="#cite_ref-Collins2_321-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation cs1"><a rel="nofollow" class="external text" href="https://www.collinsdictionary.com/dictionary/american/pythagoras?showCookiePolicy=true"><i>American: Pythagoras</i></a>. Collins Dictionary. n.d<span class="reference-accessdate">. Retrieved <span class="nowrap">25 September</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=American%3A+Pythagoras&rft.pub=Collins+Dictionary&rft_id=http%3A%2F%2Fwww.collinsdictionary.com%2Fdictionary%2Famerican%2Fpythagoras%3FshowCookiePolicy%3Dtrue&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2></div> <div class="mw-heading mw-heading3"><h3 id="Classical_sources">Classical sources</h3></div> <style data-mw-deduplicate="TemplateStyles:r1239549316">.mw-parser-output .refbegin{margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}@media screen{.mw-parser-output .refbegin{font-size:90%}}</style><div class="refbegin refbegin-hanging-indents refbegin-columns references-column-width" style="column-width: 30em"> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDK_21B7" class="citation cs1"><a href="/wiki/Xenophanes" title="Xenophanes">Xenophanes</a> (1960) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 525</span> BC]. "Xenophanes: Leben und Lehre (Life and Teachings)". In Walther, Kranz (ed.). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/diefragmenteder001/page/n139/mode/2up"><i>Die Fragmente der Vorsokratiker</i></a></span>. Vol. I. Translated by Hermann, Diels (9th ed.). Berlin: Weidmannsche Verlagsbuchhandlung. p. 130. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/1072633182">1072633182</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Xenophanes%3A+Leben+und+Lehre+%28Life+and+Teachings%29&rft.btitle=Die+Fragmente+der+Vorsokratiker&rft.place=Berlin&rft.pages=130&rft.edition=9th&rft.pub=Weidmannsche+Verlagsbuchhandlung&rft.date=1960&rft_id=info%3Aoclcnum%2F1072633182&rft.au=Xenophanes&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdiefragmenteder001%2Fpage%2Fn139%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span>. [The original Greek fragments of Xenophanes are provided, which are primarily preserved through the work of Diogenes (<a href="#CITEREFDiog_VIII">Diog VIII</a>). For English translation see <a href="#CITEREFBurnet1920">Burnet (1920)</a>.]</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBurnet1920" class="citation cs1">——— (1920) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 525</span> BC]. "Science and Religion". <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/earlygreekphilos00burnrich/page/118/mode/2up"><i>Early Greek Philosophy</i></a></span>. Translated by Burnet, John (3rd ed.). London: A. & C. Black, Ltd. p. 118. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/3610194">3610194</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Science+and+Religion&rft.btitle=Early+Greek+Philosophy&rft.place=London&rft.pages=118&rft.edition=3rd&rft.pub=A.+%26+C.+Black%2C+Ltd.&rft.date=1920&rft_id=info%3Aoclcnum%2F3610194&rft.au=Xenophanes&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fearlygreekphilos00burnrich%2Fpage%2F118%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span>. [An English translation of <a href="#CITEREFDK_21B7">DK 21B7</a>.]</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHdt._2" class="citation cs1"><a href="/wiki/Herodotus" title="Herodotus">Herodotus</a> (1920) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 430</span> BC]. "Book II". <a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0126%3Abook%3D2%3Achapter%3D123%3Asection%3D1"><i>The Persian Wars</i></a>. Vol. I. Translated by Godley, A. D. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99130-9" title="Special:BookSources/978-0-674-99130-9"><bdi>978-0-674-99130-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/966656476">966656476</a> – via <a href="/wiki/Perseus_Digital_Library" title="Perseus Digital Library">Perseus Digital Library</a> (perseus.tufts.edu).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+II&rft.btitle=The+Persian+Wars&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1920&rft_id=info%3Aoclcnum%2F966656476&rft.isbn=978-0-674-99130-9&rft.au=Herodotus&rft_id=https%3A%2F%2Fwww.perseus.tufts.edu%2Fhopper%2Ftext%3Fdoc%3DPerseus%253Atext%253A1999.01.0126%253Abook%253D2%253Achapter%253D123%253Asection%253D1&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHdt._4" class="citation cs1">——— (1920) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 430</span> BC]. "Book IV". <a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0126%3Abook%3D4%3Achapter%3D95"><i>The Persian Wars</i></a>. Vol. II. Translated by Godley, A. D. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99131-6" title="Special:BookSources/978-0-674-99131-6"><bdi>978-0-674-99131-6</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/966656315">966656315</a> – via <a href="/wiki/Perseus_Digital_Library" title="Perseus Digital Library">Perseus Digital Library</a> (perseus.tufts.edu).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+IV&rft.btitle=The+Persian+Wars&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1920&rft_id=info%3Aoclcnum%2F966656315&rft.isbn=978-0-674-99131-6&rft.au=Herodotus&rft_id=https%3A%2F%2Fwww.perseus.tufts.edu%2Fhopper%2Ftext%3Fdoc%3DPerseus%253Atext%253A1999.01.0126%253Abook%253D4%253Achapter%253D95&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPlato,_Republic" class="citation book cs1"><a href="/wiki/Plato" title="Plato">Plato</a> (1969) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 380</span> BC]. "Republic". <a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0168%3Abook%3D7%3Asection%3D530d#note-link3"><i>Plato in Twelve Volumes, Vols. 5 & 6</i></a>. Translated by Shorey, Paul. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99304-4" title="Special:BookSources/978-0-674-99304-4"><bdi>978-0-674-99304-4</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/6947747">6947747</a> – via <a href="/wiki/Perseus_Digital_Library" title="Perseus Digital Library">Perseus Digital Library</a> (perseus.tufts.edu).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Republic&rft.btitle=Plato+in+Twelve+Volumes%2C+Vols.+5+%26+6&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1969&rft_id=info%3Aoclcnum%2F6947747&rft.isbn=978-0-674-99304-4&rft.au=Plato&rft_id=https%3A%2F%2Fwww.perseus.tufts.edu%2Fhopper%2Ftext%3Fdoc%3DPerseus%253Atext%253A1999.01.0168%253Abook%253D7%253Asection%253D530d%23note-link3&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAristot._Protrepticus" class="citation web cs1"><a href="/wiki/Aristotle" title="Aristotle">Aristotle</a> (2017) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 350</span> BC]. Johnson, Monte Ransome; Hutchinson, D. S (eds.). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20240512120114/https://philarchive.org/archive/ARIP-29">"Protrepticus"</a>. Archived from <a rel="nofollow" class="external text" href="https://philarchive.org/archive/ARIP-29">the original</a> on 12 May 2024 – via <a href="/wiki/PhilPapers" title="PhilPapers">PhilPapers</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Protrepticus&rft.date=2017&rft.au=Aristotle&rft_id=https%3A%2F%2Fphilarchive.org%2Farchive%2FARIP-29&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAristot._De_Anima" class="citation book cs1">——— (1931) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 350</span> BC]. "De Anima". In Ross, W.D. (ed.). <a rel="nofollow" class="external text" href="https://classics.mit.edu/Aristotle/soul.1.i.html"><i>The Works of Aristotle Translated into English</i></a>. Vol. 3. Translated by Smith, J. A. Oxford: Oxford University Press. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/237147799">237147799</a> – via The Internet Classics Archive (classics.mit.edu).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=De+Anima&rft.btitle=The+Works+of+Aristotle+Translated+into+English&rft.place=Oxford&rft.pub=Oxford+University+Press&rft.date=1931&rft_id=info%3Aoclcnum%2F237147799&rft.au=Aristotle&rft_id=https%3A%2F%2Fclassics.mit.edu%2FAristotle%2Fsoul.1.i.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAristot._Met._1" class="citation book cs1">——— (1933) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 350</span> BC]. "Book I". <a rel="nofollow" class="external text" href="https://www.perseus.tufts.edu/hopper/text?doc=Perseus:text:1999.01.0052:book=1:section=986a"><i>Metaphysics Books I–IX</i></a>. Vol. XVII. Translated by Tredennick, Hugh. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99299-3" title="Special:BookSources/978-0-674-99299-3"><bdi>978-0-674-99299-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/958278244">958278244</a> – via <a href="/wiki/Perseus_Digital_Library" title="Perseus Digital Library">Perseus Digital Library</a> (perseus.tufts.edu).</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+I&rft.btitle=Metaphysics+Books+I%E2%80%93IX&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1933&rft_id=info%3Aoclcnum%2F958278244&rft.isbn=978-0-674-99299-3&rft.au=Aristotle&rft_id=https%3A%2F%2Fwww.perseus.tufts.edu%2Fhopper%2Ftext%3Fdoc%3DPerseus%3Atext%3A1999.01.0052%3Abook%3D1%3Asection%3D986a&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCicero,_De_Re_Publica" class="citation cs1"><a href="/wiki/Cicero" title="Cicero">Cicero</a> (1928) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 52</span> BC]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/ciceroderepublic0000clin/page/334/mode/2up">"De Re Publica"</a></span>. <i>On the Republic. On the Laws (De Re Publica. De Legibus)</i>. Vol. XVI. Translated by Keyes, Clinton W. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99235-1" title="Special:BookSources/978-0-674-99235-1"><bdi>978-0-674-99235-1</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/298443420">298443420</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=De+Re+Publica&rft.btitle=On+the+Republic.+On+the+Laws+%28De+Re+Publica.+De+Legibus%29&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1928&rft_id=info%3Aoclcnum%2F298443420&rft.isbn=978-0-674-99235-1&rft.au=Cicero&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fciceroderepublic0000clin%2Fpage%2F334%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCicero,_de_Leg" class="citation cs1">——— (1928) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 52</span> BC]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/ciceroderepublic0000clin/page/334/mode/2up">"De Legibus"</a></span>. <i>On the Republic. On the Laws (De Re Publica. De Legibus)</i>. Vol. XVI. Translated by Keyes, Clinton W. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99235-1" title="Special:BookSources/978-0-674-99235-1"><bdi>978-0-674-99235-1</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/298443420">298443420</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=De+Legibus&rft.btitle=On+the+Republic.+On+the+Laws+%28De+Re+Publica.+De+Legibus%29&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1928&rft_id=info%3Aoclcnum%2F298443420&rft.isbn=978-0-674-99235-1&rft.au=Cicero&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fciceroderepublic0000clin%2Fpage%2F334%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCicero,_de_Finibus" class="citation cs1">——— (1914) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 45</span> BC]. <a rel="nofollow" class="external text" href="https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Cicero/de_Finibus/5*.html"><i>On the Ends of Good and Evil (De Finibus Bonorum et Malorum)</i></a>. Vol. XVII. Translated by H., Rackham. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99044-9" title="Special:BookSources/978-0-674-99044-9"><bdi>978-0-674-99044-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/298443420">298443420</a> – via <a href="/wiki/LacusCurtius" title="LacusCurtius">LacusCurtius</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=On+the+Ends+of+Good+and+Evil+%28De+Finibus+Bonorum+et+Malorum%29&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1914&rft_id=info%3Aoclcnum%2F298443420&rft.isbn=978-0-674-99044-9&rft.au=Cicero&rft_id=https%3A%2F%2Fpenelope.uchicago.edu%2FThayer%2FE%2FRoman%2FTexts%2FCicero%2Fde_Finibus%2F5%2A.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCicero,_Tusc._Qu" class="citation cs1">——— (1923) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 45</span> BC]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/cicerostusculand0000tran/mode/2up"><i>Tusculan Disputations (Tusculanae Disputationes)</i></a></span>. Vol. XVIII. Translated by J.E., King. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99156-9" title="Special:BookSources/978-0-674-99156-9"><bdi>978-0-674-99156-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/298443420">298443420</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Tusculan+Disputations+%28Tusculanae+Disputationes%29&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1923&rft_id=info%3Aoclcnum%2F298443420&rft.isbn=978-0-674-99156-9&rft.au=Cicero&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fcicerostusculand0000tran%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCicero,_de_Div._I" class="citation cs1">——— (1927) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 44</span> BC]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/cicerodesenectut00cice/page/344/mode/2up?q=+Pherecydes">"De Divinatione I"</a></span>. <i>On Old Age. On Friendship. On Divination (De Senectute, De Amicitia, De Divinatione)</i>. Vol. XX. Translated by W. A., Falconer. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99170-5" title="Special:BookSources/978-0-674-99170-5"><bdi>978-0-674-99170-5</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/298443420">298443420</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=De+Divinatione+I&rft.btitle=On+Old+Age.+On+Friendship.+On+Divination+%28De+Senectute%2C+De+Amicitia%2C+De+Divinatione%29&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1927&rft_id=info%3Aoclcnum%2F298443420&rft.isbn=978-0-674-99170-5&rft.au=Cicero&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fcicerodesenectut00cice%2Fpage%2F344%2Fmode%2F2up%3Fq%3D%2BPherecydes&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCicero,_de_Off" class="citation cs1">——— (1913) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 44</span> BC]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/cicerodeofficiis0000cice/page/58/mode/2up"><i>On Duties (De officiis)</i></a></span>. Vol. XXI. Translated by Miller, Walter. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99033-3" title="Special:BookSources/978-0-674-99033-3"><bdi>978-0-674-99033-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/298443420">298443420</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=On+Duties+%28De+officiis%29&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1913&rft_id=info%3Aoclcnum%2F298443420&rft.isbn=978-0-674-99033-3&rft.au=Cicero&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fcicerodeofficiis0000cice%2Fpage%2F58%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPlutarch,_de_Iside_et_Osiride" class="citation book cs1"><a href="/wiki/Plutarch" title="Plutarch">Plutarch</a> (1962) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 100</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/plutarchsmoralia0005plut/page/24/mode/2up">"On Isis and Osiris (De Iside Et Osiride)"</a></span>. <i>Plutarch's Moralia</i>. Vol. V. Translated by Babbitt, Frank Cole. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/13897903">13897903</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=On+Isis+and+Osiris+%28De+Iside+Et+Osiride%29&rft.btitle=Plutarch%27s+Moralia&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1962&rft_id=info%3Aoclcnum%2F13897903&rft.au=Plutarch&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fplutarchsmoralia0005plut%2Fpage%2F24%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPlutarch,_de_Gen._Socr" class="citation book cs1">——— (1968) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 100</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/plutarchsmoralia07plut/page/360/mode/2up">"On the Signs of Socrates (De Genio Socratis)"</a></span>. <i>Plutarch's Moralia</i>. Vol. VII. Translated by De Lacy, Phillip H.; Einarson, Benedict. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/938641243">938641243</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=On+the+Signs+of+Socrates+%28De+Genio+Socratis%29&rft.btitle=Plutarch%27s+Moralia&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1968&rft_id=info%3Aoclcnum%2F938641243&rft.au=Plutarch&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fplutarchsmoralia07plut%2Fpage%2F360%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPlutarch,_de_Esu_Carn" class="citation book cs1">——— (1957) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 100</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/plutarchsmoralia12plut/page/540/mode/2up">"On the Eating of Flesh (Du Esu Carnium)"</a></span>. <i>Plutarch's Moralia</i>. Vol. XII. Translated by Helmbold, William C.; Cherniss, Harold. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=On+the+Eating+of+Flesh+%28Du+Esu+Carnium%29&rft.btitle=Plutarch%27s+Moralia&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1957&rft.au=Plutarch&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fplutarchsmoralia12plut%2Fpage%2F540%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPlutarch,_Non_posse_suav._vivi_sec._Ep." class="citation book cs1">——— (1967) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 100</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/plutarchsmoralia14lut/page/66/mode/2up">"That Epicurus Actually Makes a Pleasant Life Impossible (Non posse suaviter vivi secundum Epicurum)"</a></span>. <i>Plutarch's Moralia</i>. Vol. XIV. Translated by Einarson, Benedict; de Lacy, Phillip H. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=That+Epicurus+Actually+Makes+a+Pleasant+Life+Impossible+%28Non+posse+suaviter+vivi+secundum+Epicurum%29&rft.btitle=Plutarch%27s+Moralia&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1967&rft.au=Plutarch&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fplutarchsmoralia14lut%2Fpage%2F66%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFApuleius" class="citation cs1"><a href="/wiki/Apuleius" title="Apuleius">Apuleius</a> (1970) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 150</span> AD]. "Apologia". <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/apologiafloridao0000apul/page/18/mode/2up"><i>The Apologia and Florida of Apuleius of Madaura</i></a></span>. Translated by Harold Edgeworth, Butler. Westport, Conn.: Greenwood Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8371-3066-8" title="Special:BookSources/978-0-8371-3066-8"><bdi>978-0-8371-3066-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/313541">313541</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Apologia&rft.btitle=The+Apologia+and+Florida+of+Apuleius+of+Madaura&rft.place=Westport%2C+Conn.&rft.pub=Greenwood+Press&rft.date=1970&rft_id=info%3Aoclcnum%2F313541&rft.isbn=978-0-8371-3066-8&rft.au=Apuleius&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fapologiafloridao0000apul%2Fpage%2F18%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span>. [Which claims Zoroaster taught Pythagoras, also found in <a href="#CITEREFStrom">Strom</a>, 1.15.]</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDiog_I" class="citation book cs1"><a href="/wiki/Diogenes_La%C3%ABrtius" class="mw-redirect" title="Diogenes Laërtius">Diogenes Laërtius</a> (1925) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 200</span> AD]. "Book I". <a class="external text" href="https://en.wikisource.org/wiki/Lives_of_the_Eminent_Philosophers/Book_I"><i>Lives of the Eminent Philosophers</i></a>. Vol. I. Translated by Hicks, Robert Drew. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99203-0" title="Special:BookSources/978-0-674-99203-0"><bdi>978-0-674-99203-0</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/908430780">908430780</a> – via <a href="/wiki/Wikisource" title="Wikisource">Wikisource</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+I&rft.btitle=Lives+of+the+Eminent+Philosophers&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1925&rft_id=info%3Aoclcnum%2F908430780&rft.isbn=978-0-674-99203-0&rft.au=Diogenes+La%C3%ABrtius&rft_id=https%3A%2F%2Fen.wikisource.org%2Fwiki%2FLives_of_the_Eminent_Philosophers%2FBook_I&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDiog_VIII" class="citation book cs1">——— (1925) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 200</span> AD]. "Book VIII". <a class="external text" href="https://en.wikisource.org/wiki/Lives_of_the_Eminent_Philosophers/Book_VIII#Pythagoras"><i>Lives of the Eminent Philosophers</i></a>. Vol. II. Translated by Hicks, Robert Drew. Loeb Classical Library. Cambridge, Massachusetts and London: Harvard University Press and William Heinemann Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-99204-7" title="Special:BookSources/978-0-674-99204-7"><bdi>978-0-674-99204-7</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/758307224">758307224</a> – via <a href="/wiki/Wikisource" title="Wikisource">Wikisource</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+VIII&rft.btitle=Lives+of+the+Eminent+Philosophers&rft.place=Loeb+Classical+Library.+Cambridge%2C+Massachusetts+and+London&rft.pub=Harvard+University+Press+and+William+Heinemann+Ltd&rft.date=1925&rft_id=info%3Aoclcnum%2F758307224&rft.isbn=978-0-674-99204-7&rft.au=Diogenes+La%C3%ABrtius&rft_id=https%3A%2F%2Fen.wikisource.org%2Fwiki%2FLives_of_the_Eminent_Philosophers%2FBook_VIII%23Pythagoras&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFStrom" class="citation cs1"><a href="/wiki/Clement_of_Alexandria" title="Clement of Alexandria">Clement of Alexandria</a> (1991) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 200</span> AD]. "Book I, Chapter XV". <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/stromateisbookso0085clem/page/72/mode/2up"><i>Stromateis (Miscellanies)</i></a></span>. The Fathers of the Church. Vol. 86. Translated by John, Ferguson. Washington, D.C.: Catholic University of America Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8132-1185-5" title="Special:BookSources/978-0-8132-1185-5"><bdi>978-0-8132-1185-5</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/647919762">647919762</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Book+I%2C+Chapter+XV&rft.btitle=Stromateis+%28Miscellanies%29&rft.place=Washington%2C+D.C.&rft.series=The+Fathers+of+the+Church&rft.pub=Catholic+University+of+America+Press&rft.date=1991&rft_id=info%3Aoclcnum%2F647919762&rft.isbn=978-0-8132-1185-5&rft.au=Clement+of+Alexandria&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fstromateisbookso0085clem%2Fpage%2F72%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPorphyry,_Vit._Pyth" class="citation book cs1"><a href="/wiki/Porphyry_(philosopher)" title="Porphyry (philosopher)">Porphyry</a> (1987) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 270</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/guthrie-1987-the-pythagorean-sourcebook-and-library/page/122/mode/2up">"Vita Pythagorae (Life of Pythagoras)"</a></span>. In Fideler, David R. (ed.). <i>The Pythagorean Sourcebook And Library</i>. Translated by Guthrie, Kenneth Sylvan. Michigan: Phanes Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-933999-50-3" title="Special:BookSources/978-0-933999-50-3"><bdi>978-0-933999-50-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/16130530">16130530</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Vita+Pythagorae+%28Life+of+Pythagoras%29&rft.btitle=The+Pythagorean+Sourcebook+And+Library&rft.place=Michigan&rft.pub=Phanes+Press&rft.date=1987&rft_id=info%3Aoclcnum%2F16130530&rft.isbn=978-0-933999-50-3&rft.au=Porphyry&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fguthrie-1987-the-pythagorean-sourcebook-and-library%2Fpage%2F122%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFIamblichus,_Vit._Pyth" class="citation book cs1"><a href="/wiki/Iamblichus_(philosopher)" class="mw-redirect" title="Iamblichus (philosopher)">Iamblichus</a> (1987) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 300</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/guthrie-1987-the-pythagorean-sourcebook-and-library/page/n49/mode/2up">"De Vita Pythagorica (On the Pythagorean Life)"</a></span>. In Fideler, David R. (ed.). <i>The Pythagorean Sourcebook And Library</i>. Translated by Guthrie, Kenneth Sylvan. Michigan: Phanes Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-933999-50-3" title="Special:BookSources/978-0-933999-50-3"><bdi>978-0-933999-50-3</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/16130530">16130530</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=De+Vita+Pythagorica+%28On+the+Pythagorean+Life%29&rft.btitle=The+Pythagorean+Sourcebook+And+Library&rft.place=Michigan&rft.pub=Phanes+Press&rft.date=1987&rft_id=info%3Aoclcnum%2F16130530&rft.isbn=978-0-933999-50-3&rft.au=Iamblichus&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fguthrie-1987-the-pythagorean-sourcebook-and-library%2Fpage%2Fn49%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHierocles,Carmen_Aureum" class="citation book cs1"><a href="/wiki/Hierocles_of_Alexandria" title="Hierocles of Alexandria">Hierocles of Alexandria</a> (1995) [<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 430</span> AD]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/pythagoreangolde0000unse/page/94/mode/2up">"Golden Verses of Pythagoras"</a></span>. <i>The Pythagorean Golden Verses: With Introduction and Commentary</i>. Religions in the Graeco-Roman World. Vol. 123. Translated by Thom, Johan C. Leiden: E.J. Brill. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-90-04-10105-0" title="Special:BookSources/978-90-04-10105-0"><bdi>978-90-04-10105-0</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/31131998">31131998</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Golden+Verses+of+Pythagoras&rft.btitle=The+Pythagorean+Golden+Verses%3A+With+Introduction+and+Commentary&rft.place=Leiden&rft.series=Religions+in+the+Graeco-Roman+World&rft.pub=E.J.+Brill&rft.date=1995&rft_id=info%3Aoclcnum%2F31131998&rft.isbn=978-90-04-10105-0&rft.au=Hierocles+of+Alexandria&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fpythagoreangolde0000unse%2Fpage%2F94%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li></ul> </div> <p><br /> </p> <div class="mw-heading mw-heading3"><h3 id="Modern_secondary_sources">Modern secondary sources</h3></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239549316"><div class="refbegin refbegin-hanging-indents refbegin-columns references-column-width" style="column-width: 30em"> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAcevedo2020" class="citation book cs1">Acevedo, Juan (2020). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=cavvDwAAQBAJ"><i>Alphanumeric Cosmology From Greek into Arabic</i></a>. <a href="/wiki/Mohr_Siebeck" title="Mohr Siebeck">Mohr Siebeck</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-3-16-159245-4" title="Special:BookSources/978-3-16-159245-4"><bdi>978-3-16-159245-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Alphanumeric+Cosmology+From+Greek+into+Arabic&rft.pub=Mohr+Siebeck&rft.date=2020&rft.isbn=978-3-16-159245-4&rft.aulast=Acevedo&rft.aufirst=Juan&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DcavvDwAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAfonasin2012" class="citation cs1">Afonasin, Eugene V. (2012). Afonasin, Eugene V.; Dillon, John M.; Finamore, John (eds.). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=teoyAQAAQBAJ&pg=PA15"><i>Iamblichus and the Foundations of Late Platonism</i></a>. Leiden and Boston: Brill. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-90-04-23011-8" title="Special:BookSources/978-90-04-23011-8"><bdi>978-90-04-23011-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Iamblichus+and+the+Foundations+of+Late+Platonism&rft.place=Leiden+and+Boston&rft.pub=Brill&rft.date=2012&rft.isbn=978-90-04-23011-8&rft.aulast=Afonasin&rft.aufirst=Eugene+V.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DteoyAQAAQBAJ%26pg%3DPA15&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAsheriLloydCorcella2007" class="citation cs1"><a href="/wiki/David_Asheri" title="David Asheri">Asheri, David</a>; Lloyd, Alan; Corcella, Aldo (2007). <i>A Commentary on Herodotus, Books 1–4</i>. Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-814956-9" title="Special:BookSources/978-0-19-814956-9"><bdi>978-0-19-814956-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+Commentary+on+Herodotus%2C+Books+1%E2%80%934&rft.pub=Oxford+University+Press&rft.date=2007&rft.isbn=978-0-19-814956-9&rft.aulast=Asheri&rft.aufirst=David&rft.au=Lloyd%2C+Alan&rft.au=Corcella%2C+Aldo&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBarry1999" class="citation book cs1">Barry, Kieren (1999). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=w70rWN_-ANAC"><i>The Greek Qabalah: Alphabetic Mysticism and Numerology in the Ancient World</i></a>. <a href="/wiki/Samuel_Weiser,_Inc." class="mw-redirect" title="Samuel Weiser, Inc.">Samuel Weiser, Inc.</a> <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-57863-110-0" title="Special:BookSources/978-1-57863-110-0"><bdi>978-1-57863-110-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Greek+Qabalah%3A+Alphabetic+Mysticism+and+Numerology+in+the+Ancient+World&rft.pub=Samuel+Weiser%2C+Inc.&rft.date=1999&rft.isbn=978-1-57863-110-0&rft.aulast=Barry&rft.aufirst=Kieren&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dw70rWN_-ANAC&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBorlik2011" class="citation cs1">Borlik, Todd A. (2011). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/ecocriticismearl0000borl/mode/2up"><i>Ecocriticism and Early Modern English Literature: Green Pastures</i></a></span>. Routledge Studies in Renaissance Literature and Culture. New York City, New York and London, England: Routledge. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-203-81924-1" title="Special:BookSources/978-0-203-81924-1"><bdi>978-0-203-81924-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Ecocriticism+and+Early+Modern+English+Literature%3A+Green+Pastures&rft.place=New+York+City%2C+New+York+and+London%2C+England&rft.series=Routledge+Studies+in+Renaissance+Literature+and+Culture&rft.pub=Routledge&rft.date=2011&rft.isbn=978-0-203-81924-1&rft.aulast=Borlik&rft.aufirst=Todd+A.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fecocriticismearl0000borl%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBowra1994" class="citation cs1"><a href="/wiki/Maurice_Bowra" title="Maurice Bowra">Bowra, C. M.</a> (1994) [1957]. <i>The Greek Experience</i>. London, England: Weidenfeld & Nicolson History. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-85799-122-2" title="Special:BookSources/978-1-85799-122-2"><bdi>978-1-85799-122-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Greek+Experience&rft.place=London%2C+England&rft.pub=Weidenfeld+%26+Nicolson+History&rft.date=1994&rft.isbn=978-1-85799-122-2&rft.aulast=Bowra&rft.aufirst=C.+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBoyerMerzbach2011" class="citation book cs1">Boyer, Carl B.; Merzbach, Uta C. (2011) [1968]. <i>A History of Mathematics</i> (3rd ed.). Hoboken, N.J.: John Wiley & Sons. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-470-52548-7" title="Special:BookSources/978-0-470-52548-7"><bdi>978-0-470-52548-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+History+of+Mathematics&rft.place=Hoboken%2C+N.J.&rft.edition=3rd&rft.pub=John+Wiley+%26+Sons&rft.date=2011&rft.isbn=978-0-470-52548-7&rft.aulast=Boyer&rft.aufirst=Carl+B.&rft.au=Merzbach%2C+Uta+C.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBregman2002" class="citation cs1">Bregman, Jay (2002). "Neoplatonism and American Aesthetics". In Alexandrakis, Aphrodite; Moulafakis, Nicholas J. (eds.). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=wAKTvVIcwTgC&q=Pythagoras+and+the+Transcendentalists&pg=PA186"><i>Neoplatonism and Western Aesthetics</i></a>. Studies in Neoplatonism: Ancient and Modern. Vol. 12. Albany, New York: State University of New York Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-7914-5280-6" title="Special:BookSources/978-0-7914-5280-6"><bdi>978-0-7914-5280-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Neoplatonism+and+American+Aesthetics&rft.btitle=Neoplatonism+and+Western+Aesthetics&rft.place=Albany%2C+New+York&rft.series=Studies+in+Neoplatonism%3A+Ancient+and+Modern&rft.pub=State+University+of+New+York+Press&rft.date=2002&rft.isbn=978-0-7914-5280-6&rft.aulast=Bregman&rft.aufirst=Jay&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DwAKTvVIcwTgC%26q%3DPythagoras%2Band%2Bthe%2BTranscendentalists%26pg%3DPA186&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBruhn2005" class="citation cs1"><a href="/wiki/Siglind_Bruhn" title="Siglind Bruhn">Bruhn, Siglind</a> (2005). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=q-1o3tUGcXMC&q=tetraktys+diatessaron&pg=PA66"><i>The Musical Order of the Universe: Kepler, Hesse, and Hindemith</i></a>. Interfaces Series. Hillsdale, New York: Pendragon Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-57647-117-3" title="Special:BookSources/978-1-57647-117-3"><bdi>978-1-57647-117-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Musical+Order+of+the+Universe%3A+Kepler%2C+Hesse%2C+and+Hindemith&rft.place=Hillsdale%2C+New+York&rft.series=Interfaces+Series&rft.pub=Pendragon+Press&rft.date=2005&rft.isbn=978-1-57647-117-3&rft.aulast=Bruhn&rft.aufirst=Siglind&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dq-1o3tUGcXMC%26q%3Dtetraktys%2Bdiatessaron%26pg%3DPA66&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBurkert1960" class="citation cs1 cs1-prop-foreign-lang-source">Burkert, Walter (May 1960). "Platon oder Pythagoras? Zum Ursprung des Wortes "Philosophie"<span class="cs1-kern-right"></span>". <i>Hermes</i> (in German). <b>88</b> (2): 159–177. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a> <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/4475110">4475110</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Hermes&rft.atitle=Platon+oder+Pythagoras%3F+Zum+Ursprung+des+Wortes+%22Philosophie%22&rft.volume=88&rft.issue=2&rft.pages=159-177&rft.date=1960-05&rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F4475110%23id-name%3DJSTOR&rft.aulast=Burkert&rft.aufirst=Walter&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBurkert1972" class="citation cs1"><a href="/wiki/Walter_Burkert" title="Walter Burkert">Burkert, Walter</a> (1 June 1972). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/lorescienceinanc0000burk/mode/2up"><i>Lore and Science in Ancient Pythagoreanism</i></a></span>. Cambridge, Massachusetts: Harvard University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-53918-1" title="Special:BookSources/978-0-674-53918-1"><bdi>978-0-674-53918-1</bdi></a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Lore+and+Science+in+Ancient+Pythagoreanism&rft.place=Cambridge%2C+Massachusetts&rft.pub=Harvard+University+Press&rft.date=1972-06-01&rft.isbn=978-0-674-53918-1&rft.aulast=Burkert&rft.aufirst=Walter&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Florescienceinanc0000burk%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBurkert1985" class="citation cs1"><a href="/wiki/Walter_Burkert" title="Walter Burkert">Burkert, Walter</a> (1985). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/greekreligion0000burk"><i>Greek Religion</i></a></span>. Cambridge, Massachusetts: Harvard University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-36281-9" title="Special:BookSources/978-0-674-36281-9"><bdi>978-0-674-36281-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Greek+Religion&rft.place=Cambridge%2C+Massachusetts&rft.pub=Harvard+University+Press&rft.date=1985&rft.isbn=978-0-674-36281-9&rft.aulast=Burkert&rft.aufirst=Walter&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fgreekreligion0000burk&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCameron2004" class="citation cs1">Cameron, Alan (2004). <i>Greek Mythography in the Roman World</i>. Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-803821-4" title="Special:BookSources/978-0-19-803821-4"><bdi>978-0-19-803821-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Greek+Mythography+in+the+Roman+World&rft.pub=Oxford+University+Press&rft.date=2004&rft.isbn=978-0-19-803821-4&rft.aulast=Cameron&rft.aufirst=Alan&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCarpenter1921" class="citation cs1"><a href="/wiki/Rhys_Carpenter" title="Rhys Carpenter">Carpenter, Rhys</a> (1921). <a rel="nofollow" class="external text" href="https://archive.org/details/estheticbasisofg00carpuoft"><i>The Esthetic Basis Of Greek Art: Of The Fifth And Fourth Centuries B.C</i></a>. Bryn Mawr, Pennsylvania: Bryn Mawr College. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-165-68068-9" title="Special:BookSources/978-1-165-68068-9"><bdi>978-1-165-68068-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Esthetic+Basis+Of+Greek+Art%3A+Of+The+Fifth+And+Fourth+Centuries+B.C&rft.place=Bryn+Mawr%2C+Pennsylvania&rft.pub=Bryn+Mawr+College&rft.date=1921&rft.isbn=978-1-165-68068-9&rft.aulast=Carpenter&rft.aufirst=Rhys&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Festheticbasisofg00carpuoft&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCelenza2010" class="citation cs1"><a href="/wiki/Christopher_Celenza" title="Christopher Celenza">Celenza, Christopher</a> (2010). "Pythagoras and Pythagoreanism". In <a href="/wiki/Anthony_Grafton" title="Anthony Grafton">Grafton, Anthony</a>; <a href="/wiki/Glenn_W._Most" title="Glenn W. Most">Most, Glenn W.</a>; Settis, Salvatore (eds.). <i>The Classical Tradition</i>. Cambridge, Massachusetts and London, England: The Belknap Press of Harvard University Press. pp. 796–799. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-03572-0" title="Special:BookSources/978-0-674-03572-0"><bdi>978-0-674-03572-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Pythagoras+and+Pythagoreanism&rft.btitle=The+Classical+Tradition&rft.place=Cambridge%2C+Massachusetts+and+London%2C+England&rft.pages=796-799&rft.pub=The+Belknap+Press+of+Harvard+University+Press&rft.date=2010&rft.isbn=978-0-674-03572-0&rft.aulast=Celenza&rft.aufirst=Christopher&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCopleston2003" class="citation cs1 cs1-prop-long-vol"><a href="/wiki/Frederick_Copleston" title="Frederick Copleston">Copleston, Frederick</a> (2003) [1946]. "The Pythagorean Society". <i>A History of Philosophy</i>. Vol. 1 Greece and Rome. London, England and New York City, New York: Continuum. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8264-6947-2" title="Special:BookSources/978-0-8264-6947-2"><bdi>978-0-8264-6947-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Pythagorean+Society&rft.btitle=A+History+of+Philosophy&rft.place=London%2C+England+and+New+York+City%2C+New+York&rft.pub=Continuum&rft.date=2003&rft.isbn=978-0-8264-6947-2&rft.aulast=Copleston&rft.aufirst=Frederick&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCornelliMcKirahan2013" class="citation cs1">Cornelli, Gabriele; McKirahan, Richard (2013). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=p0ihjZufKncC&q=Pythagoreanism&pg=PA50"><i>In Search of Pythagoreanism: Pythagoreanism as an Historiographical Category</i></a>. Berlin, Germany: Walter de Gruyter. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-3-11-030650-7" title="Special:BookSources/978-3-11-030650-7"><bdi>978-3-11-030650-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=In+Search+of+Pythagoreanism%3A+Pythagoreanism+as+an+Historiographical+Category&rft.place=Berlin%2C+Germany&rft.pub=Walter+de+Gruyter&rft.date=2013&rft.isbn=978-3-11-030650-7&rft.aulast=Cornelli&rft.aufirst=Gabriele&rft.au=McKirahan%2C+Richard&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dp0ihjZufKncC%26q%3DPythagoreanism%26pg%3DPA50&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDe_Vogel1966" class="citation book cs1"><a href="/wiki/Cornelia_Johanna_de_Vogel" title="Cornelia Johanna de Vogel">De Vogel, Cornelia J.</a> (1966). <i>Pythagoras and Early Pythagoreanism: An Interpretation of Neglected Evidence on the Philosopher Pythagoras</i>. Assen: Van Gorcum. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/513833">513833</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pythagoras+and+Early+Pythagoreanism%3A+An+Interpretation+of+Neglected+Evidence+on+the+Philosopher+Pythagoras&rft.place=Assen&rft.pub=Van+Gorcum&rft.date=1966&rft_id=info%3Aoclcnum%2F513833&rft.aulast=De+Vogel&rft.aufirst=Cornelia+J.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDicks1970" class="citation cs1">Dicks, D. R. (1970). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/earlygreekastron0000dick"><i>Early Greek Astronomy to Aristotle</i></a></span>. Ithaca, New York: Cornell University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8014-0561-7" title="Special:BookSources/978-0-8014-0561-7"><bdi>978-0-8014-0561-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Early+Greek+Astronomy+to+Aristotle&rft.place=Ithaca%2C+New+York&rft.pub=Cornell+University+Press&rft.date=1970&rft.isbn=978-0-8014-0561-7&rft.aulast=Dicks&rft.aufirst=D.+R.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fearlygreekastron0000dick&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDillonHershbell1991" class="citation book cs1">Dillon, John; Hershbell, Jackson (1991). Betz, Hans Dieter; O'Neill, Edward N. (eds.). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/onpythagoreanway0000iamb/mode/2up"><i>Iamblichus, On the Pythagorean way of life: Text, Translation and Notes</i></a></span>. Text and Translations 29: Graeco Romain Religion Series. Vol. 11. Atlanta, Georgia: Scholars Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/1-55540-522-3" title="Special:BookSources/1-55540-522-3"><bdi>1-55540-522-3</bdi></a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Iamblichus%2C+On+the+Pythagorean+way+of+life%3A+Text%2C+Translation+and+Notes&rft.place=Atlanta%2C+Georgia&rft.series=Text+and+Translations+29%3A+Graeco+Romain+Religion+Series&rft.pub=Scholars+Press&rft.date=1991&rft.isbn=1-55540-522-3&rft.aulast=Dillon&rft.aufirst=John&rft.au=Hershbell%2C+Jackson&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fonpythagoreanway0000iamb%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDillon2005" class="citation cs1">Dillon, Sheila (24 December 2005). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=2fFa42_0Gb0C&q=Archytas+bust+actually+Pythagoras&pg=PA163"><i>Ancient Greek Portrait Sculpture: Context, Subjects, and Styles</i></a>. Cambridge, England: Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-107-61078-1" title="Special:BookSources/978-1-107-61078-1"><bdi>978-1-107-61078-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Ancient+Greek+Portrait+Sculpture%3A+Context%2C+Subjects%2C+and+Styles&rft.place=Cambridge%2C+England&rft.pub=Cambridge+University+Press&rft.date=2005-12-24&rft.isbn=978-1-107-61078-1&rft.aulast=Dillon&rft.aufirst=Sheila&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D2fFa42_0Gb0C%26q%3DArchytas%2Bbust%2Bactually%2BPythagoras%26pg%3DPA163&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFFaivre1995" class="citation book cs1">Faivre, Antoine (1995). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/eternalhermes.fromgreekgodtoalchemicalmagusbyantoinefaivre/mode/2up"><i>The Eternal Hermes</i></a></span>. Grand Rapids, Mich: Phanes Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0-933999-53-4" title="Special:BookSources/0-933999-53-4"><bdi>0-933999-53-4</bdi></a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Eternal+Hermes&rft.place=Grand+Rapids%2C+Mich&rft.pub=Phanes+Press&rft.date=1995&rft.isbn=0-933999-53-4&rft.aulast=Faivre&rft.aufirst=Antoine&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Feternalhermes.fromgreekgodtoalchemicalmagusbyantoinefaivre%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFFerguson2008" class="citation book cs1"><a href="/wiki/Kitty_Ferguson" title="Kitty Ferguson">Ferguson, Kitty</a> (2008). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=h83m1i3QhhYC"><i>The Music of Pythagoras: How an Ancient Brotherhood Cracked the Code of the Universe and Lit the Path from Antiquity to Outer Space</i></a>. <a href="/wiki/Bloomsbury_Publishing" title="Bloomsbury Publishing">Bloomsbury Publishing</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8027-7963-2" title="Special:BookSources/978-0-8027-7963-2"><bdi>978-0-8027-7963-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Music+of+Pythagoras%3A+How+an+Ancient+Brotherhood+Cracked+the+Code+of+the+Universe+and+Lit+the+Path+from+Antiquity+to+Outer+Space&rft.pub=Bloomsbury+Publishing&rft.date=2008&rft.isbn=978-0-8027-7963-2&rft.aulast=Ferguson&rft.aufirst=Kitty&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dh83m1i3QhhYC&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFFrench2002" class="citation cs1">French, Peter J. (2002) [1972]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=mcJYAQAAQBAJ&q=John+Dee+Pythagoras&pg=PA30"><i>John Dee: The World of the Elizabethan Magus</i></a>. New York City, New York and London, England: Routledge. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-7448-0079-1" title="Special:BookSources/978-0-7448-0079-1"><bdi>978-0-7448-0079-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=John+Dee%3A+The+World+of+the+Elizabethan+Magus&rft.place=New+York+City%2C+New+York+and+London%2C+England&rft.pub=Routledge&rft.date=2002&rft.isbn=978-0-7448-0079-1&rft.aulast=French&rft.aufirst=Peter+J.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DmcJYAQAAQBAJ%26q%3DJohn%2BDee%2BPythagoras%26pg%3DPA30&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGrant1989" class="citation cs1"><a href="/wiki/Michael_Grant_(classicist)" title="Michael Grant (classicist)">Grant, Michael</a> (1989). <a rel="nofollow" class="external text" href="https://archive.org/details/classicalgreeks00gran_0"><i>The Classical Greeks</i></a>. History of Civilization. New York City, New York: Charles Schribner's Sons. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-684-19126-3" title="Special:BookSources/978-0-684-19126-3"><bdi>978-0-684-19126-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Classical+Greeks&rft.place=New+York+City%2C+New+York&rft.series=History+of+Civilization&rft.pub=Charles+Schribner%27s+Sons&rft.date=1989&rft.isbn=978-0-684-19126-3&rft.aulast=Grant&rft.aufirst=Michael&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fclassicalgreeks00gran_0&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGregory2015" class="citation book cs1">Gregory, Andrew (2015). "The Pythagoreans: number and numerology". In <a href="/wiki/Snezana_Lawrence" title="Snezana Lawrence">Lawrence, Snezana</a>; McCartney, Mark (eds.). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=5Zu9CQAAQBAJ"><i>Mathematicians and their Gods: Interactions between mathematics and religious beliefs</i></a>. <a href="/wiki/Oxford_University_Press" title="Oxford University Press">Oxford University Press</a>. pp. 21–50. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-100755-2" title="Special:BookSources/978-0-19-100755-2"><bdi>978-0-19-100755-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Pythagoreans%3A+number+and+numerology&rft.btitle=Mathematicians+and+their+Gods%3A+Interactions+between+mathematics+and+religious+beliefs&rft.pages=21-50&rft.pub=Oxford+University+Press&rft.date=2015&rft.isbn=978-0-19-100755-2&rft.aulast=Gregory&rft.aufirst=Andrew&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D5Zu9CQAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHaag2013" class="citation cs1">Haag, Michael (2013). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Ol1oxkZVxTkC&q=Pythagoras+Dante's+inferno&pg=PA89"><i>Inferno Decoded: The Essential Companion to the Myths, Mysteries and Locations of Dan Brown's Inferno</i></a>. London, England: Profile Books, Ltd. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-78125-180-5" title="Special:BookSources/978-1-78125-180-5"><bdi>978-1-78125-180-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Inferno+Decoded%3A+The+Essential+Companion+to+the+Myths%2C+Mysteries+and+Locations+of+Dan+Brown%27s+Inferno&rft.place=London%2C+England&rft.pub=Profile+Books%2C+Ltd.&rft.date=2013&rft.isbn=978-1-78125-180-5&rft.aulast=Haag&rft.aufirst=Michael&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DOl1oxkZVxTkC%26q%3DPythagoras%2BDante%27s%2Binferno%26pg%3DPA89&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHare1999" class="citation cs1">Hare, R. M. (1999) [1982]. "Plato". In Taylor, C. C. W.; Hare, R. M.; Barnes, Jonathan (eds.). <i>Greek Philosophers: Socrates, Plato, and Aristotle</i>. Past Masters. Oxford, England: Oxford University Press. pp. 103–189. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-285422-3" title="Special:BookSources/978-0-19-285422-3"><bdi>978-0-19-285422-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Plato&rft.btitle=Greek+Philosophers%3A+Socrates%2C+Plato%2C+and+Aristotle&rft.place=Oxford%2C+England&rft.series=Past+Masters&rft.pages=103-189&rft.pub=Oxford+University+Press&rft.date=1999&rft.isbn=978-0-19-285422-3&rft.aulast=Hare&rft.aufirst=R.+M.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHomann-Wedeking1968" class="citation cs1">Homann-Wedeking, Ernst (1968). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=BIlCAAAAIAAJ&q=Art+of+the+World+Archaic+Greece+Homann-Wedeking"><i>The Art of Archaic Greece</i></a>. Art of the World. New York City, New York: Crown Publishers.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Art+of+Archaic+Greece&rft.place=New+York+City%2C+New+York&rft.series=Art+of+the+World&rft.pub=Crown+Publishers&rft.date=1968&rft.aulast=Homann-Wedeking&rft.aufirst=Ernst&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DBIlCAAAAIAAJ%26q%3DArt%2Bof%2Bthe%2BWorld%2BArchaic%2BGreece%2BHomann-Wedeking&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJacobyBollansée1999" class="citation book cs1">Jacoby, Felix; Bollansée, Jan (1999). Schepens, Guido (ed.). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=9awAYifECXcC"><i>Die Fragmente der griechischen Historiker</i></a>. Vol. 4. <a href="/wiki/Brill_Publishers" title="Brill Publishers">Brill</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-90-04-11303-9" title="Special:BookSources/978-90-04-11303-9"><bdi>978-90-04-11303-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Die+Fragmente+der+griechischen+Historiker&rft.pub=Brill&rft.date=1999&rft.isbn=978-90-04-11303-9&rft.aulast=Jacoby&rft.aufirst=Felix&rft.au=Bollans%C3%A9e%2C+Jan&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D9awAYifECXcC&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJames1993" class="citation book cs1">James, Jamie (1993). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/musicofspheresmu00jame/page/n7/mode/2up"><i>The Music of the Spheres</i></a></span>. New York, NY: Grove Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8021-1307-8" title="Special:BookSources/978-0-8021-1307-8"><bdi>978-0-8021-1307-8</bdi></a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Music+of+the+Spheres&rft.place=New+York%2C+NY&rft.pub=Grove+Press&rft.date=1993&rft.isbn=978-0-8021-1307-8&rft.aulast=James&rft.aufirst=Jamie&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fmusicofspheresmu00jame%2Fpage%2Fn7%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFJoost-Gaugier2006" class="citation cs1"><a href="/wiki/Christiane_Joost-Gaugier" title="Christiane Joost-Gaugier">Joost-Gaugier, Christiane L.</a> (2006). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Cf9Rj_ADZU4C&q=Pythagoreanism&pg=PA116"><i>Measuring Heaven: Pythagoras and his Influence on Thought and Art in Antiquity and the Middle Ages</i></a>. Ithaca, New York: Cornell University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8014-7409-5" title="Special:BookSources/978-0-8014-7409-5"><bdi>978-0-8014-7409-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Measuring+Heaven%3A+Pythagoras+and+his+Influence+on+Thought+and+Art+in+Antiquity+and+the+Middle+Ages&rft.place=Ithaca%2C+New+York&rft.pub=Cornell+University+Press&rft.date=2006&rft.isbn=978-0-8014-7409-5&rft.aulast=Joost-Gaugier&rft.aufirst=Christiane+L.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DCf9Rj_ADZU4C%26q%3DPythagoreanism%26pg%3DPA116&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKahn2001" class="citation cs1"><a href="/wiki/Charles_H._Kahn" title="Charles H. Kahn">Kahn, Charles H.</a> (2001). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/pythagoraspythag0000kahn"><i>Pythagoras and the Pythagoreans: A Brief History</i></a></span>. Indianapolis, Indiana and Cambridge, England: Hackett Publishing Company. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-87220-575-8" title="Special:BookSources/978-0-87220-575-8"><bdi>978-0-87220-575-8</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/46394974">46394974</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pythagoras+and+the+Pythagoreans%3A+A+Brief+History&rft.place=Indianapolis%2C+Indiana+and+Cambridge%2C+England&rft.pub=Hackett+Publishing+Company&rft.date=2001&rft_id=info%3Aoclcnum%2F46394974&rft.isbn=978-0-87220-575-8&rft.aulast=Kahn&rft.aufirst=Charles+H.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fpythagoraspythag0000kahn&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKalvesmaki2013" class="citation book cs1">Kalvesmaki, Joel (2013). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=btC_MgEACAAJ"><i>The Theology of Arithmetic: Number Symbolism in Platonism and Early Christianity</i></a>. <a href="/wiki/Center_for_Hellenic_Studies" title="Center for Hellenic Studies">Center for Hellenic Studies</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-674-07330-2" title="Special:BookSources/978-0-674-07330-2"><bdi>978-0-674-07330-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Theology+of+Arithmetic%3A+Number+Symbolism+in+Platonism+and+Early+Christianity&rft.pub=Center+for+Hellenic+Studies&rft.date=2013&rft.isbn=978-0-674-07330-2&rft.aulast=Kalvesmaki&rft.aufirst=Joel&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DbtC_MgEACAAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKenny2004" class="citation cs1"><a href="/wiki/Anthony_Kenny" title="Anthony Kenny">Kenny, Anthony</a> (2004). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=cpYUDAAAQBAJ&q=Anthony+Kenny+Ancient+Philosophy"><i>Ancient Philosophy</i></a>. A New History of Western Philosophy. Vol. 1. Oxford, England: Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-875273-8" title="Special:BookSources/978-0-19-875273-8"><bdi>978-0-19-875273-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Ancient+Philosophy&rft.place=Oxford%2C+England&rft.series=A+New+History+of+Western+Philosophy&rft.pub=Oxford+University+Press&rft.date=2004&rft.isbn=978-0-19-875273-8&rft.aulast=Kenny&rft.aufirst=Anthony&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DcpYUDAAAQBAJ%26q%3DAnthony%2BKenny%2BAncient%2BPhilosophy&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLangdonFotheringham1928" class="citation cs1"><a href="/wiki/Stephen_Herbert_Langdon" title="Stephen Herbert Langdon">Langdon, Stephen</a>; <a href="/wiki/John_Knight_Fotheringham" title="John Knight Fotheringham">Fotheringham, John</a> (1928). <i>The Venus Tablets of Ammizaduga: A solution of Babylonian chronology by means of the Venus observations of the First Dynasty</i>. Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-9-33-362298-1" title="Special:BookSources/978-9-33-362298-1"><bdi>978-9-33-362298-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Venus+Tablets+of+Ammizaduga%3A+A+solution+of+Babylonian+chronology+by+means+of+the+Venus+observations+of+the+First+Dynasty&rft.pub=Oxford+University+Press&rft.date=1928&rft.isbn=978-9-33-362298-1&rft.aulast=Langdon&rft.aufirst=Stephen&rft.au=Fotheringham%2C+John&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLindberg1978" class="citation book cs1">Lindberg, David C. (1978). <i>Science in the Middle Ages</i>. University of Chicago Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0226482330" title="Special:BookSources/978-0226482330"><bdi>978-0226482330</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Science+in+the+Middle+Ages&rft.pub=University+of+Chicago+Press&rft.date=1978&rft.isbn=978-0226482330&rft.aulast=Lindberg&rft.aufirst=David+C.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLindberg2013" class="citation book cs1">Lindberg, David C. (2013). <i>The Cambridge History of Science: Volume 2, Medieval Science</i>. Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0521594486" title="Special:BookSources/978-0521594486"><bdi>978-0521594486</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Cambridge+History+of+Science%3A+Volume+2%2C+Medieval+Science&rft.pub=Cambridge+University+Press&rft.date=2013&rft.isbn=978-0521594486&rft.aulast=Lindberg&rft.aufirst=David+C.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMalone2009" class="citation cs1">Malone, John C. (2009). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=e6Qa6cMQj8AC&pg=PA22"><i>Psychology: Pythagoras to present</i></a>. MIT Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-262-01296-6" title="Special:BookSources/978-0-262-01296-6"><bdi>978-0-262-01296-6</bdi></a><span class="reference-accessdate">. Retrieved <span class="nowrap">25 October</span> 2010</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Psychology%3A+Pythagoras+to+present&rft.pub=MIT+Press&rft.date=2009&rft.isbn=978-0-262-01296-6&rft.aulast=Malone&rft.aufirst=John+C.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3De6Qa6cMQj8AC%26pg%3DPA22&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMarincola2001" class="citation cs1">Marincola, John (2001). <i>Greek Historians</i>. Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-922501-9" title="Special:BookSources/978-0-19-922501-9"><bdi>978-0-19-922501-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Greek+Historians&rft.pub=Oxford+University+Press&rft.date=2001&rft.isbn=978-0-19-922501-9&rft.aulast=Marincola&rft.aufirst=John&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMcKeown2013" class="citation cs1">McKeown, J. C. (2013). <i>A Cabinet of Greek Curiosities: Strange Tales and Surprising Facts from the Cradle of Western Civilization</i>. Oxford, England: Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-998210-3" title="Special:BookSources/978-0-19-998210-3"><bdi>978-0-19-998210-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+Cabinet+of+Greek+Curiosities%3A+Strange+Tales+and+Surprising+Facts+from+the+Cradle+of+Western+Civilization&rft.place=Oxford%2C+England&rft.pub=Oxford+University+Press&rft.date=2013&rft.isbn=978-0-19-998210-3&rft.aulast=McKeown&rft.aufirst=J.+C.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMénage1984" class="citation book cs1">Ménage, Gilles (1984). <i>The History of Women Philosophers</i>. Lanham: Univ. 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Baltimore, Maryland: The Johns Hopkins University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-4214-0956-6" title="Special:BookSources/978-1-4214-0956-6"><bdi>978-1-4214-0956-6</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pythagorean+Women%3A+The+History+and+Writings&rft.place=Baltimore%2C+Maryland&rft.pub=The+Johns+Hopkins+University+Press&rft.date=2013&rft.isbn=978-1-4214-0956-6&rft.aulast=Pomeroy&rft.aufirst=Sarah+B.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DjUMDAAAAQBAJ%26q%3Dwomen%2Band%2BPythagoreanism&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPress2003" class="citation cs1">Press, Gerald A. 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Montreal, Canada and Kingston, New York: McGill-Queen's University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-7735-1002-9" title="Special:BookSources/978-0-7735-1002-9"><bdi>978-0-7735-1002-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Development+of+the+Idea+of+History+in+Antiquity&rft.place=Montreal%2C+Canada+and+Kingston%2C+New+York&rft.pub=McGill-Queen%27s+University+Press&rft.date=2003&rft.isbn=978-0-7735-1002-9&rft.aulast=Press&rft.aufirst=Gerald+A.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DYuYQ7B1c2TQC%26q%3DSoches%2BPythagoras%26pg%3DPA83&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRiedweg2005" class="citation cs1">Riedweg, Christoph (2005) [2002]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=A8ixyQJA7_MC&q=Pythagoras"><i>Pythagoras: His Life, Teachings, and Influence</i></a>. Ithaca, New York: Cornell University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-8014-7452-1" title="Special:BookSources/978-0-8014-7452-1"><bdi>978-0-8014-7452-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pythagoras%3A+His+Life%2C+Teachings%2C+and+Influence&rft.place=Ithaca%2C+New+York&rft.pub=Cornell+University+Press&rft.date=2005&rft.isbn=978-0-8014-7452-1&rft.aulast=Riedweg&rft.aufirst=Christoph&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DA8ixyQJA7_MC%26q%3DPythagoras&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRoberts2011" class="citation cs1">Roberts, Jennifer T. (2011). <i>Herodotus: a Very Short Introduction</i>. OXford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-957599-2" title="Special:BookSources/978-0-19-957599-2"><bdi>978-0-19-957599-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Herodotus%3A+a+Very+Short+Introduction&rft.pub=OXford+University+Press&rft.date=2011&rft.isbn=978-0-19-957599-2&rft.aulast=Roberts&rft.aufirst=Jennifer+T.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRussell2008" class="citation cs1"><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Russell, Bertrand</a> (2008) [1945]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=iQZ6Xk9VdtAC&q=A+History+of+Western+Philosophy+Bertrand+Russell"><i>A History of Western Philosophy</i></a>. A Touchstone Book. New York City, New York: Simon & Schuster. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-671-31400-2" title="Special:BookSources/978-0-671-31400-2"><bdi>978-0-671-31400-2</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+History+of+Western+Philosophy&rft.place=New+York+City%2C+New+York&rft.series=A+Touchstone+Book&rft.pub=Simon+%26+Schuster&rft.date=2008&rft.isbn=978-0-671-31400-2&rft.aulast=Russell&rft.aufirst=Bertrand&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DiQZ6Xk9VdtAC%26q%3DA%2BHistory%2Bof%2BWestern%2BPhilosophy%2BBertrand%2BRussell&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFRusso2004" class="citation cs1 cs1-prop-long-vol">Russo, Attilio (2004). "Costantino Lascaris tra fama e oblio nel Cinquecento messinese". <i>Archivio Storico Messinese</i>. LXXXIV–LXXXV: 5–87, especially 51–53. <a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/issn/0392-0240">0392-0240</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Archivio+Storico+Messinese&rft.atitle=Costantino+Lascaris+tra+fama+e+oblio+nel+Cinquecento+messinese&rft.volume=LXXXIV-LXXXV&rft.pages=5-87%2C+especially+51-53&rft.date=2004&rft.issn=0392-0240&rft.aulast=Russo&rft.aufirst=Attilio&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSherman1995" class="citation cs1">Sherman, William Howard (1995). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=0nmboW7qwvUC&q=John+Dee+Pythagoras&pg=PA15"><i>John Dee: The Politics of Reading and Writing in the English Renaissance</i></a>. Amherst, Massachusetts: The University of Massachusetts Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-55849-070-3" title="Special:BookSources/978-1-55849-070-3"><bdi>978-1-55849-070-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=John+Dee%3A+The+Politics+of+Reading+and+Writing+in+the+English+Renaissance&rft.place=Amherst%2C+Massachusetts&rft.pub=The+University+of+Massachusetts+Press&rft.date=1995&rft.isbn=978-1-55849-070-3&rft.aulast=Sherman&rft.aufirst=William+Howard&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3D0nmboW7qwvUC%26q%3DJohn%2BDee%2BPythagoras%26pg%3DPA15&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSimoons1998" class="citation cs1">Simoons, Frederick J. 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Madison, Wisconsin: University of Wisconsin Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-299-15904-7" title="Special:BookSources/978-0-299-15904-7"><bdi>978-0-299-15904-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Plants+of+Life%2C+Plants+of+Death&rft.place=Madison%2C+Wisconsin&rft.pub=University+of+Wisconsin+Press&rft.date=1998&rft.isbn=978-0-299-15904-7&rft.aulast=Simoons&rft.aufirst=Frederick+J.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DKEUAbrBoeBAC%26q%3DPythagoras%2Bbean%2Bfield%26pg%3DPA227&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSparks1998" class="citation cs1">Sparks, Kenton L. 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In Tuplin, Christopher (ed.). <i>Persian Responses: Political and Cultural Interaction with(in) the Achaemenid Empire</i>. Swansea: The Classical Press of Wales. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-910589-46-5" title="Special:BookSources/978-1-910589-46-5"><bdi>978-1-910589-46-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=The+Philosopher%27s+Zarathushtra&rft.btitle=Persian+Responses%3A+Political+and+Cultural+Interaction+with%28in%29+the+Achaemenid+Empire&rft.place=Swansea&rft.pub=The+Classical+Press+of+Wales&rft.date=2007&rft.isbn=978-1-910589-46-5&rft.aulast=Vasunia&rft.aufirst=Phiroze&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DcwFPDgAAQBAJ&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWaithe1987" class="citation cs1">Waithe, M. E. (1987). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=x7ngECDpxmMC"><i>Ancient Women Philosophers 600 B.C. – 500 A.D.</i></a> Springer Science & Business Media. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-90-247-3368-2" title="Special:BookSources/978-90-247-3368-2"><bdi>978-90-247-3368-2</bdi></a> – via Google Books.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Ancient+Women+Philosophers+600+B.C.+%E2%80%93+500+A.D.&rft.pub=Springer+Science+%26+Business+Media&rft.date=1987&rft.isbn=978-90-247-3368-2&rft.aulast=Waithe&rft.aufirst=M.+E.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dx7ngECDpxmMC&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWhitehead1953" class="citation cs1"><a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Whitehead, Afred North</a> (1953) [1926]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Npq_qnqwYOwC&q=Pythagoras+Whitehead+science&pg=PA36"><i>Science and the Modern World</i></a>. Cambridge, England: Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-521-23778-9" title="Special:BookSources/978-0-521-23778-9"><bdi>978-0-521-23778-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Science+and+the+Modern+World&rft.place=Cambridge%2C+England&rft.pub=Cambridge+University+Press&rft.date=1953&rft.isbn=978-0-521-23778-9&rft.aulast=Whitehead&rft.aufirst=Afred+North&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DNpq_qnqwYOwC%26q%3DPythagoras%2BWhitehead%2Bscience%26pg%3DPA36&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFZhmud2012" class="citation book cs1">Zhmud, Leonid (2012) [1994]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=of-ghBD9q1QC"><i>Pythagoras and the Early Pythagoreans</i></a>. Translated by Windle, Kevin; Ireland, Rosh. <a href="/wiki/Oxford_University_Press" title="Oxford University Press">Oxford University Press</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-928931-8" title="Special:BookSources/978-0-19-928931-8"><bdi>978-0-19-928931-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pythagoras+and+the+Early+Pythagoreans&rft.pub=Oxford+University+Press&rft.date=2012&rft.isbn=978-0-19-928931-8&rft.aulast=Zhmud&rft.aufirst=Leonid&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dof-ghBD9q1QC&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239549316"><div class="refbegin" style=""> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFChristensen2002" class="citation cs1">Christensen, Thomas (2002). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=ioa9uW2t7AQC&q=pythagoras+hammers+myth&pg=PA143"><i>The Cambridge History of Western Music Theory</i></a>. Cambridge, England: Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-521-62371-1" title="Special:BookSources/978-0-521-62371-1"><bdi>978-0-521-62371-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Cambridge+History+of+Western+Music+Theory&rft.place=Cambridge%2C+England&rft.pub=Cambridge+University+Press&rft.date=2002&rft.isbn=978-0-521-62371-1&rft.aulast=Christensen&rft.aufirst=Thomas&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dioa9uW2t7AQC%26q%3Dpythagoras%2Bhammers%2Bmyth%26pg%3DPA143&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGuthrie1967" class="citation cs1"><a href="/wiki/William_Keith_Chambers_Guthrie" class="mw-redirect" title="William Keith Chambers Guthrie">Guthrie, William Keith Chambers</a> (1967) [1962]. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/historyofgreekph0001wkcg/page/172/mode/2up"><i>A History of Greek Philosophy, Volume 1: The Earlier Presocratics and the Pythagoreans</i></a></span>. Cambridge University Press. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/973780248">973780248</a> – via <a href="/wiki/Internet_Archive" title="Internet Archive">Internet Archive</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=A+History+of+Greek+Philosophy%2C+Volume+1%3A+The+Earlier+Presocratics+and+the+Pythagoreans&rft.pub=Cambridge+University+Press&rft.date=1967&rft_id=info%3Aoclcnum%2F973780248&rft.aulast=Guthrie&rft.aufirst=William+Keith+Chambers&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fhistoryofgreekph0001wkcg%2Fpage%2F172%2Fmode%2F2up&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHermann2005" class="citation cs1">Hermann, Arnold (2005). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/tothinklikegodpy0000herm"><i>To Think Like God: Pythagoras and Parmenides—the Origins of Philosophy</i></a></span>. Las Vegas, Nevada: Parmenides Publishing. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-930972-00-1" title="Special:BookSources/978-1-930972-00-1"><bdi>978-1-930972-00-1</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=To+Think+Like+God%3A+Pythagoras+and+Parmenides%E2%80%94the+Origins+of+Philosophy&rft.place=Las+Vegas%2C+Nevada&rft.pub=Parmenides+Publishing&rft.date=2005&rft.isbn=978-1-930972-00-1&rft.aulast=Hermann&rft.aufirst=Arnold&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Ftothinklikegodpy0000herm&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHorky2013" class="citation cs1">Horky, Philip Sydney (2013). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=EXkRDAAAQBAJ&q=Pythagoreanism"><i>Plato and Pythagoreanism</i></a>. Oxford, England: Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-989822-0" title="Special:BookSources/978-0-19-989822-0"><bdi>978-0-19-989822-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Plato+and+Pythagoreanism&rft.place=Oxford%2C+England&rft.pub=Oxford+University+Press&rft.date=2013&rft.isbn=978-0-19-989822-0&rft.aulast=Horky&rft.aufirst=Philip+Sydney&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DEXkRDAAAQBAJ%26q%3DPythagoreanism&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKingsley1995" class="citation cs1"><a href="/wiki/Peter_Kingsley" title="Peter Kingsley">Kingsley, Peter</a> (1995). <i>Ancient Philosophy, Mystery, and Magic: Empedocles and the Pythagorean Tradition</i>. Oxford, England: Oxford University Press.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Ancient+Philosophy%2C+Mystery%2C+and+Magic%3A+Empedocles+and+the+Pythagorean+Tradition&rft.place=Oxford%2C+England&rft.pub=Oxford+University+Press&rft.date=1995&rft.aulast=Kingsley&rft.aufirst=Peter&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFO'Meara1989" class="citation cs1">O'Meara, Dominic J. (1989). <i>Pythagoras Revived</i>. Oxford, England: Oxford University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-0-19-823913-0" title="Special:BookSources/978-0-19-823913-0"><bdi>978-0-19-823913-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Pythagoras+Revived&rft.place=Oxford%2C+England&rft.pub=Oxford+University+Press&rft.date=1989&rft.isbn=978-0-19-823913-0&rft.aulast=O%27Meara&rft.aufirst=Dominic+J.&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSchofield2013" class="citation cs1">Schofield, Malcolm (2013). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=VZR7AAAAQBAJ&q=Pythagoreanism"><i>Aristotle, Plato and Pythagoreanism in the First Century BC: New Directions for Philosophy</i></a>. Cambridge, England: Cambridge University Press. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/978-1-107-02011-5" title="Special:BookSources/978-1-107-02011-5"><bdi>978-1-107-02011-5</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Aristotle%2C+Plato+and+Pythagoreanism+in+the+First+Century+BC%3A+New+Directions+for+Philosophy&rft.place=Cambridge%2C+England&rft.pub=Cambridge+University+Press&rft.date=2013&rft.isbn=978-1-107-02011-5&rft.aulast=Schofield&rft.aufirst=Malcolm&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DVZR7AAAAQBAJ%26q%3DPythagoreanism&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span></li></ul> </div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 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typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/27px-Wikibooks-logo.svg.png" decoding="async" width="27" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/41px-Wikibooks-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikibooks-logo.svg/54px-Wikibooks-logo.svg.png 2x" data-file-width="300" data-file-height="300" /></span></span></span><span class="sister-link"><a href="https://en.wikibooks.org/wiki/Special:Search/Pythagoras" class="extiw" title="b:Special:Search/Pythagoras">Textbooks</a> from Wikibooks</span></li><li><span class="sister-logo"><span class="mw-valign-middle" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0b/Wikiversity_logo_2017.svg/27px-Wikiversity_logo_2017.svg.png" decoding="async" width="27" height="22" class="mw-file-element" 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Eleventh Edition">1911 <i>Encyclopædia Britannica</i></a> article "<span style="font-weight:bold;"><a href="https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica/Pythagoras" class="extiw" title="wikisource:1911 Encyclopædia Britannica/Pythagoras">Pythagoras</a></span>".</div></div> </div> <ul><li><a rel="nofollow" class="external text" href="https://www.bbc.co.uk/programmes/b00p693b">Pythagoras</a> on <a href="/wiki/In_Our_Time_(radio_series)" title="In Our Time (radio series)"><i>In Our Time</i></a> at the <a href="/wiki/BBC" title="BBC">BBC</a></li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHuffman" class="citation encyclopaedia cs1">Huffman, Carl. <a rel="nofollow" class="external text" href="https://plato.stanford.edu/entries/pythagoras/">"Pythagoras"</a>. In <a href="/wiki/Edward_N._Zalta" title="Edward N. Zalta">Zalta, Edward N.</a> (ed.). <i><a href="/wiki/Stanford_Encyclopedia_of_Philosophy" title="Stanford Encyclopedia of Philosophy">Stanford Encyclopedia of Philosophy</a></i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Pythagoras&rft.btitle=Stanford+Encyclopedia+of+Philosophy&rft.aulast=Huffman&rft.aufirst=Carl&rft_id=https%3A%2F%2Fplato.stanford.edu%2Fentries%2Fpythagoras%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3APythagoras" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_encyclopedia" title="Template:Cite encyclopedia">cite encyclopedia</a>}}</code>: CS1 maint: overridden setting (<a href="/wiki/Category:CS1_maint:_overridden_setting" title="Category:CS1 maint: overridden setting">link</a>)</span></li> <li><a rel="nofollow" class="external text" href="http://www-history.mcs.st-andrews.ac.uk/Mathematicians/Pythagoras.html">"Pythagoras of Samos"</a>, <a href="/wiki/The_MacTutor_History_of_Mathematics_archive" class="mw-redirect" title="The MacTutor History of Mathematics archive">The MacTutor History of Mathematics archive</a>, School of Mathematics and Statistics, <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a>, Scotland</li> <li><a rel="nofollow" class="external text" href="http://history.hanover.edu/texts/presoc/pythagor.html">"Pythagoras and the Pythagoreans, Fragments and Commentary"</a>, <a href="/wiki/Arthur_Fairbanks" title="Arthur Fairbanks">Arthur Fairbanks</a> Hanover Historical Texts Project, <a href="/wiki/Hanover_College" title="Hanover College">Hanover College</a> Department of History</li> <li><a rel="nofollow" class="external text" href="http://www.math.tamu.edu/~don.allen/history/pythag/pythag.html">"Pythagoras and the Pythagoreans"</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20090309180348/http://www.math.tamu.edu/~don.allen/history/pythag/pythag.html">Archived</a> 2009-03-09 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Department of Mathematics, <a href="/wiki/Texas_A%26M_University" title="Texas A&M University">Texas A&M University</a></li> <li><a rel="nofollow" class="external text" href="http://www.newadvent.org/cathen/12587b.htm">"Pythagoras and Pythagoreanism"</a>, <i><a href="/wiki/The_Catholic_Encyclopedia" class="mw-redirect" title="The Catholic Encyclopedia">The Catholic Encyclopedia</a></i></li> <li><a rel="nofollow" class="external text" href="https://archive.org/search.php?query=%28%28subject%3A%22Pythagoras%22%20OR%20creator%3A%22Pythagoras%22%20OR%20description%3A%22Pythagoras%22%20OR%20title%3A%22Pythagoras%22%29%20OR%20%28%22century-490s%22%20AND%20Pythagoras%29%29%20AND%20%28-mediatype:software%29">Works by or about Pythagoras</a> at the <a 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href="/wiki/Archytas" title="Archytas">Archytas</a></li> <li><a href="/wiki/Aristaeus_the_Elder" title="Aristaeus the Elder">Aristaeus the Elder</a></li> <li><a href="/wiki/Aristarchus_of_Samos" title="Aristarchus of Samos">Aristarchus</a></li> <li><a href="/wiki/Aristotle" title="Aristotle">Aristotle</a></li> <li><a href="/wiki/Apollonius_of_Perga" title="Apollonius of Perga">Apollonius</a></li> <li><a href="/wiki/Archimedes" title="Archimedes">Archimedes</a></li> <li><a href="/wiki/Autolycus_of_Pitane" title="Autolycus of Pitane">Autolycus</a></li> <li><a href="/wiki/Bion_of_Abdera" title="Bion of Abdera">Bion</a></li> <li><a href="/wiki/Bryson_of_Heraclea" title="Bryson of Heraclea">Bryson</a></li> <li><a href="/wiki/Callippus" title="Callippus">Callippus</a></li> <li><a href="/wiki/Carpus_of_Antioch" title="Carpus of Antioch">Carpus</a></li> <li><a href="/wiki/Chrysippus" title="Chrysippus">Chrysippus</a></li> <li><a href="/wiki/Cleomedes" title="Cleomedes">Cleomedes</a></li> <li><a href="/wiki/Conon_of_Samos" title="Conon of Samos">Conon</a></li> <li><a href="/wiki/Ctesibius" title="Ctesibius">Ctesibius</a></li> <li><a href="/wiki/Democritus" title="Democritus">Democritus</a></li> <li><a href="/wiki/Dicaearchus" title="Dicaearchus">Dicaearchus</a></li> <li><a href="/wiki/Diocles_(mathematician)" title="Diocles (mathematician)">Diocles</a></li> <li><a href="/wiki/Diophantus" title="Diophantus">Diophantus</a></li> <li><a href="/wiki/Dinostratus" title="Dinostratus">Dinostratus</a></li> <li><a href="/wiki/Dionysodorus" title="Dionysodorus">Dionysodorus</a></li> <li><a href="/wiki/Domninus_of_Larissa" title="Domninus of Larissa">Domninus</a></li> <li><a href="/wiki/Eratosthenes" title="Eratosthenes">Eratosthenes</a></li> <li><a href="/wiki/Eudemus_of_Rhodes" title="Eudemus of Rhodes">Eudemus</a></li> <li><a href="/wiki/Euclid" title="Euclid">Euclid</a></li> <li><a href="/wiki/Eudoxus_of_Cnidus" title="Eudoxus of Cnidus">Eudoxus</a></li> <li><a href="/wiki/Eutocius_of_Ascalon" title="Eutocius of Ascalon">Eutocius</a></li> <li><a href="/wiki/Geminus" title="Geminus">Geminus</a></li> <li><a href="/wiki/Heliodorus_of_Larissa" title="Heliodorus of Larissa">Heliodorus</a></li> <li><a href="/wiki/Hero_of_Alexandria" title="Hero of Alexandria">Heron</a></li> <li><a href="/wiki/Hipparchus" title="Hipparchus">Hipparchus</a></li> <li><a href="/wiki/Hippasus" title="Hippasus">Hippasus</a></li> <li><a href="/wiki/Hippias" title="Hippias">Hippias</a></li> <li><a href="/wiki/Hippocrates_of_Chios" title="Hippocrates of Chios">Hippocrates</a></li> <li><a href="/wiki/Hypatia" title="Hypatia">Hypatia</a></li> <li><a href="/wiki/Hypsicles" title="Hypsicles">Hypsicles</a></li> <li><a href="/wiki/Isidore_of_Miletus" title="Isidore of Miletus">Isidore of Miletus</a></li> <li><a href="/wiki/Leon_(mathematician)" title="Leon (mathematician)">Leon</a></li> <li><a href="/wiki/Marinus_of_Neapolis" title="Marinus of Neapolis">Marinus</a></li> <li><a href="/wiki/Menaechmus" title="Menaechmus">Menaechmus</a></li> <li><a href="/wiki/Menelaus_of_Alexandria" title="Menelaus of Alexandria">Menelaus</a></li> <li><a href="/wiki/Metrodorus_(grammarian)" title="Metrodorus (grammarian)">Metrodorus</a></li> <li><a href="/wiki/Nicomachus" title="Nicomachus">Nicomachus</a></li> <li><a href="/wiki/Nicomedes_(mathematician)" title="Nicomedes (mathematician)">Nicomedes</a></li> <li><a href="/wiki/Nicoteles_of_Cyrene" title="Nicoteles of Cyrene">Nicoteles</a></li> <li><a href="/wiki/Oenopides" title="Oenopides">Oenopides</a></li> <li><a href="/wiki/Pappus_of_Alexandria" title="Pappus of Alexandria">Pappus</a></li> <li><a href="/wiki/Perseus_(geometer)" title="Perseus (geometer)">Perseus</a></li> <li><a href="/wiki/Philolaus" title="Philolaus">Philolaus</a></li> <li><a href="/wiki/Philon" title="Philon">Philon</a></li> <li><a href="/wiki/Philonides_of_Laodicea" title="Philonides of Laodicea">Philonides</a></li> <li><a href="/wiki/Plato" title="Plato">Plato</a></li> <li><a href="/wiki/Porphyry_(philosopher)" title="Porphyry (philosopher)">Porphyry</a></li> <li><a href="/wiki/Posidonius" title="Posidonius">Posidonius</a></li> <li><a href="/wiki/Proclus" title="Proclus">Proclus</a></li> <li><a href="/wiki/Ptolemy" title="Ptolemy">Ptolemy</a></li> <li><a class="mw-selflink selflink">Pythagoras</a></li> <li><a href="/wiki/Serenus_of_Antino%C3%B6polis" title="Serenus of Antinoöpolis">Serenus </a></li> <li><a href="/wiki/Simplicius_of_Cilicia" title="Simplicius of Cilicia">Simplicius</a></li> <li><a href="/wiki/Sosigenes_of_Alexandria" class="mw-redirect" title="Sosigenes of Alexandria">Sosigenes</a></li> <li><a href="/wiki/Sporus_of_Nicaea" title="Sporus of Nicaea">Sporus</a></li> <li><a href="/wiki/Thales_of_Miletus" title="Thales of Miletus">Thales</a></li> <li><a href="/wiki/Theaetetus_(mathematician)" title="Theaetetus (mathematician)">Theaetetus</a></li> <li><a href="/wiki/Theano_(philosopher)" title="Theano (philosopher)">Theano</a></li> <li><a href="/wiki/Theodorus_of_Cyrene" title="Theodorus of Cyrene">Theodorus</a></li> <li><a href="/wiki/Theodosius_of_Bithynia" title="Theodosius of Bithynia">Theodosius</a></li> <li><a href="/wiki/Theon_of_Alexandria" title="Theon of Alexandria">Theon of Alexandria</a></li> <li><a href="/wiki/Theon_of_Smyrna" title="Theon of Smyrna">Theon of Smyrna</a></li> <li><a href="/wiki/Thymaridas" title="Thymaridas">Thymaridas</a></li> <li><a href="/wiki/Xenocrates" title="Xenocrates">Xenocrates</a></li> <li><a href="/wiki/Zeno_of_Elea" title="Zeno of Elea">Zeno of Elea</a></li> <li><a href="/wiki/Zeno_of_Sidon" title="Zeno of Sidon">Zeno of Sidon</a></li> <li><a href="/wiki/Zenodorus_(mathematician)" title="Zenodorus (mathematician)">Zenodorus</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Treatises</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/Almagest" title="Almagest">Almagest</a></i></li> <li><a href="/wiki/Archimedes_Palimpsest" title="Archimedes Palimpsest">Archimedes Palimpsest</a></li> <li><i><a href="/wiki/Arithmetica" title="Arithmetica">Arithmetica</a></i></li> <li><a href="/wiki/Apollonius_of_Perga#Conics" title="Apollonius of Perga"><i>Conics</i> <span style="font-size:85%;">(Apollonius)</span></a></li> <li><i><a href="/wiki/Catoptrics" title="Catoptrics">Catoptrics</a></i></li> <li><a href="/wiki/Data_(Euclid)" class="mw-redirect" title="Data (Euclid)"><i>Data</i> <span style="font-size:85%;">(Euclid)</span></a></li> <li><a href="/wiki/Euclid%27s_Elements" title="Euclid's Elements"><i>Elements</i> <span style="font-size:85%;">(Euclid)</span></a></li> <li><i><a href="/wiki/Measurement_of_a_Circle" title="Measurement of a Circle">Measurement of a Circle</a></i></li> <li><i><a href="/wiki/On_Conoids_and_Spheroids" title="On Conoids and Spheroids">On Conoids and Spheroids</a></i></li> <li><a href="/wiki/On_the_Sizes_and_Distances_(Aristarchus)" title="On the Sizes and Distances (Aristarchus)"><i>On the Sizes and Distances</i> <span style="font-size:85%;">(Aristarchus)</span></a></li> <li><a href="/wiki/On_Sizes_and_Distances_(Hipparchus)" title="On Sizes and Distances (Hipparchus)"><i>On Sizes and Distances</i> <span style="font-size:85%;">(Hipparchus)</span></a></li> <li><a href="/wiki/Autolycus_of_Pitane" title="Autolycus of Pitane"><i>On the Moving Sphere</i> <span style="font-size:85%;">(Autolycus)</span></a></li> <li><a href="/wiki/Euclid%27s_Optics" title="Euclid's Optics"><i>Optics</i> <span style="font-size:85%;">(Euclid)</span></a></li> <li><i><a href="/wiki/On_Spirals" title="On Spirals">On Spirals</a></i></li> <li><i><a href="/wiki/On_the_Sphere_and_Cylinder" title="On the Sphere and Cylinder">On the Sphere and Cylinder</a></i></li> <li><i><a href="/wiki/Ostomachion" title="Ostomachion">Ostomachion</a></i></li> <li><i><a href="/wiki/Planisphaerium" title="Planisphaerium">Planisphaerium</a></i></li> <li><a href="/wiki/Theodosius%27_Spherics" title="Theodosius' Spherics"><i>Spherics</i> <span style="font-size:85%;">(Theodosius)</span></a></li> <li><a href="/wiki/Menelaus_of_Alexandria" title="Menelaus of Alexandria"><i>Spherics</i> <span style="font-size:85%;">(Menelaus)</span></a></li> <li><i><a href="/wiki/The_Quadrature_of_the_Parabola" class="mw-redirect" title="The Quadrature of the Parabola">The Quadrature of the Parabola</a></i></li> <li><i><a href="/wiki/The_Sand_Reckoner" title="The Sand Reckoner">The Sand Reckoner</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Problems</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Constructible_number" title="Constructible number">Constructible numbers</a> <ul><li><a href="/wiki/Angle_trisection" title="Angle trisection">Angle trisection</a></li> <li><a href="/wiki/Doubling_the_cube" title="Doubling the cube">Doubling the cube</a></li> <li><a href="/wiki/Squaring_the_circle" title="Squaring the circle">Squaring the circle</a></li></ul></li> <li><a href="/wiki/Problem_of_Apollonius" title="Problem of Apollonius">Problem of Apollonius</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts<br />and definitions</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Angle" title="Angle">Angle</a> <ul><li><a href="/wiki/Central_angle" title="Central angle">Central</a></li> <li><a href="/wiki/Inscribed_angle" title="Inscribed angle">Inscribed</a></li></ul></li> <li><a href="/wiki/Axiomatic_system" title="Axiomatic system">Axiomatic system</a> <ul><li><a href="/wiki/Axiom" title="Axiom">Axiom</a></li></ul></li> <li><a href="/wiki/Chord_(geometry)" title="Chord (geometry)">Chord</a></li> <li><a href="/wiki/Circles_of_Apollonius" title="Circles of Apollonius">Circles of Apollonius</a> <ul><li><a href="/wiki/Apollonian_circles" title="Apollonian circles">Apollonian circles</a></li> <li><a href="/wiki/Apollonian_gasket" title="Apollonian gasket">Apollonian gasket</a></li></ul></li> <li><a href="/wiki/Circumscribed_circle" title="Circumscribed circle">Circumscribed circle</a></li> <li><a href="/wiki/Commensurability_(mathematics)" title="Commensurability (mathematics)">Commensurability</a></li> <li><a href="/wiki/Diophantine_equation" title="Diophantine equation">Diophantine equation</a></li> <li><a href="https://en.wikiquote.org/wiki/Doctrine_of_proportion_(mathematics)" class="extiw" title="wikiquote:Doctrine of proportion (mathematics)">Doctrine of proportionality</a></li> <li><a href="/wiki/Euclidean_geometry" title="Euclidean geometry">Euclidean geometry</a></li> <li><a href="/wiki/Golden_ratio" title="Golden ratio">Golden ratio</a></li> <li><a href="/wiki/Greek_numerals" title="Greek numerals">Greek numerals</a></li> <li><a href="/wiki/Incircle_and_excircles_of_a_triangle" class="mw-redirect" title="Incircle and excircles of a triangle">Incircle and excircles of a triangle</a></li> <li><a href="/wiki/Method_of_exhaustion" title="Method of exhaustion">Method of exhaustion</a></li> <li><a href="/wiki/Parallel_postulate" title="Parallel postulate">Parallel postulate</a></li> <li><a href="/wiki/Platonic_solid" title="Platonic solid">Platonic solid</a></li> <li><a href="/wiki/Lune_of_Hippocrates" title="Lune of Hippocrates">Lune of Hippocrates</a></li> <li><a href="/wiki/Quadratrix_of_Hippias" title="Quadratrix of Hippias">Quadratrix of Hippias</a></li> <li><a href="/wiki/Regular_polygon" title="Regular polygon">Regular polygon</a></li> <li><a href="/wiki/Straightedge_and_compass_construction" title="Straightedge and compass construction">Straightedge and compass construction</a></li> <li><a href="/wiki/Triangle_center" title="Triangle center">Triangle center</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Results</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">In <a href="/wiki/Euclid%27s_elements" class="mw-redirect" title="Euclid's elements"><i>Elements</i></a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Angle_bisector_theorem" title="Angle bisector theorem">Angle bisector theorem</a></li> <li><a href="/wiki/Exterior_angle_theorem" title="Exterior angle theorem">Exterior angle theorem</a></li> <li><a href="/wiki/Euclidean_algorithm" title="Euclidean algorithm">Euclidean algorithm</a></li> <li><a href="/wiki/Euclid%27s_theorem" title="Euclid's theorem">Euclid's theorem</a></li> <li><a href="/wiki/Geometric_mean_theorem" title="Geometric mean theorem">Geometric mean theorem</a></li> <li><a href="/wiki/Greek_geometric_algebra" class="mw-redirect" title="Greek geometric algebra">Greek geometric algebra</a></li> <li><a href="/wiki/Hinge_theorem" title="Hinge theorem">Hinge theorem</a></li> <li><a href="/wiki/Inscribed_angle_theorem" class="mw-redirect" title="Inscribed angle theorem">Inscribed angle theorem</a></li> <li><a href="/wiki/Intercept_theorem" title="Intercept theorem">Intercept theorem</a></li> <li><a href="/wiki/Intersecting_chords_theorem" title="Intersecting chords theorem">Intersecting chords theorem</a></li> <li><a href="/wiki/Intersecting_secants_theorem" title="Intersecting secants theorem">Intersecting secants theorem</a></li> <li><a href="/wiki/Law_of_cosines" title="Law of cosines">Law of cosines</a></li> <li><a href="/wiki/Pons_asinorum" title="Pons asinorum">Pons asinorum</a></li> <li><a href="/wiki/Pythagorean_theorem" title="Pythagorean theorem">Pythagorean theorem</a></li> <li><a href="/wiki/Tangent-secant_theorem" class="mw-redirect" title="Tangent-secant theorem">Tangent-secant theorem</a></li> <li><a href="/wiki/Thales%27s_theorem" title="Thales's theorem">Thales's theorem</a></li> <li><a href="/wiki/Theorem_of_the_gnomon" title="Theorem of the gnomon">Theorem of the gnomon</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Apollonius_of_Tyana" title="Apollonius of Tyana">Apollonius</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Apollonius%27s_theorem" title="Apollonius's theorem">Apollonius's theorem</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aristarchus%27s_inequality" title="Aristarchus's inequality">Aristarchus's inequality</a></li> <li><a href="/wiki/Crossbar_theorem" title="Crossbar theorem">Crossbar theorem</a></li> <li><a href="/wiki/Heron%27s_formula" title="Heron's formula">Heron's formula</a></li> <li><a href="/wiki/Irrational_number" title="Irrational number">Irrational numbers</a></li> <li><a href="/wiki/Law_of_sines" title="Law of sines">Law of sines</a></li> <li><a href="/wiki/Menelaus%27s_theorem" title="Menelaus's theorem">Menelaus's theorem</a></li> <li><a href="/wiki/Pappus%27s_area_theorem" title="Pappus's area theorem">Pappus's area theorem</a></li> <li><a href="/wiki/Diophantus_II.VIII" title="Diophantus II.VIII">Problem II.8 of <i>Arithmetica</i></a></li> <li><a href="/wiki/Ptolemy%27s_inequality" title="Ptolemy's inequality">Ptolemy's inequality</a></li> <li><a href="/wiki/Ptolemy%27s_table_of_chords" title="Ptolemy's table of chords">Ptolemy's table of chords</a></li> <li><a href="/wiki/Ptolemy%27s_theorem" title="Ptolemy's theorem">Ptolemy's theorem</a></li> <li><a href="/wiki/Spiral_of_Theodorus" title="Spiral of Theodorus">Spiral of Theodorus</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Centers</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cyrene,_Libya" title="Cyrene, Libya">Cyrene</a></li> <li><a href="/wiki/Musaeum" class="mw-redirect" title="Musaeum">Mouseion of Alexandria</a></li> <li><a href="/wiki/Platonic_Academy" title="Platonic Academy">Platonic Academy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ancient_Greek_astronomy" title="Ancient Greek astronomy">Ancient Greek astronomy</a></li> <li><a href="/wiki/Attic_numerals" title="Attic numerals">Attic numerals</a></li> <li><a href="/wiki/Greek_numerals" title="Greek numerals">Greek numerals</a></li> <li><a href="/wiki/Latin_translations_of_the_12th_century" title="Latin translations of the 12th century">Latin translations of the 12th century</a></li> <li><a href="/wiki/Non-Euclidean_geometry" title="Non-Euclidean geometry">Non-Euclidean geometry</a></li> <li><a href="/wiki/Philosophy_of_mathematics" title="Philosophy of mathematics">Philosophy of mathematics</a></li> <li><a href="/wiki/Neusis_construction" title="Neusis construction">Neusis construction</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">History of</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><i><a href="/wiki/A_History_of_Greek_Mathematics" title="A History of Greek Mathematics">A History of Greek Mathematics</a></i> <ul><li>by <a href="/wiki/Thomas_Heath_(classicist)" title="Thomas Heath (classicist)">Thomas Heath</a></li></ul></li> <li><a href="/wiki/History_of_algebra" title="History of algebra">algebra</a> <ul><li><a href="/wiki/Timeline_of_algebra" title="Timeline of algebra">timeline</a></li></ul></li> <li><a href="/wiki/History_of_arithmetic" class="mw-redirect" title="History of arithmetic">arithmetic</a> <ul><li><a href="/wiki/Timeline_of_numerals_and_arithmetic" title="Timeline of numerals and arithmetic">timeline</a></li></ul></li> <li><a href="/wiki/History_of_calculus" title="History of calculus">calculus</a> <ul><li><a href="/wiki/Timeline_of_calculus_and_mathematical_analysis" title="Timeline of calculus and mathematical analysis">timeline</a></li></ul></li> <li><a href="/wiki/History_of_geometry" title="History of geometry">geometry</a> <ul><li><a href="/wiki/Timeline_of_geometry" title="Timeline of geometry">timeline</a></li></ul></li> <li><a href="/wiki/History_of_logic" title="History of logic">logic</a> <ul><li><a href="/wiki/Timeline_of_mathematical_logic" title="Timeline of mathematical logic">timeline</a></li></ul></li> <li><a href="/wiki/History_of_mathematics" title="History of mathematics">mathematics</a> <ul><li><a href="/wiki/Timeline_of_mathematics" title="Timeline of mathematics">timeline</a></li></ul></li> <li><a href="/wiki/History_of_numbers" class="mw-redirect" title="History of numbers">numbers</a> <ul><li><a href="/wiki/Prehistoric_counting" title="Prehistoric counting">prehistoric counting</a></li></ul></li> <li><a href="/wiki/History_of_ancient_numeral_systems" title="History of ancient numeral systems">numeral systems</a> <ul><li><a href="/wiki/List_of_numeral_systems" title="List of numeral systems">list</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other cultures</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mathematics_in_the_medieval_Islamic_world" title="Mathematics in the medieval Islamic world">Arabian/Islamic</a></li> <li><a href="/wiki/Babylonian_mathematics" title="Babylonian mathematics">Babylonian</a></li> <li><a href="/wiki/Chinese_mathematics" title="Chinese mathematics">Chinese</a></li> <li><a href="/wiki/Ancient_Egyptian_mathematics" title="Ancient Egyptian mathematics">Egyptian</a></li> <li><a href="/wiki/Mathematics_of_the_Incas" title="Mathematics of the Incas">Incan</a></li> <li><a href="/wiki/Indian_mathematics" title="Indian mathematics">Indian</a></li> <li><a href="/wiki/Japanese_mathematics" title="Japanese mathematics">Japanese</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div><b><span class="nowrap"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Parthenon_from_west.jpg/16px-Parthenon_from_west.jpg" decoding="async" width="16" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Parthenon_from_west.jpg/24px-Parthenon_from_west.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ad/Parthenon_from_west.jpg/32px-Parthenon_from_west.jpg 2x" data-file-width="2048" data-file-height="1536" /></span></span> </span><a href="/wiki/Portal:Ancient_Greece" title="Portal:Ancient Greece">Ancient Greece portal</a></b> •  <b><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="icon" 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style="padding:3px"><table class="nowraplinks mw-collapsible mw-collapsed navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Ancient_Greek_schools_of_philosophy" title="Template:Ancient Greek schools of philosophy"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Ancient_Greek_schools_of_philosophy" title="Template talk:Ancient Greek schools of philosophy"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Ancient_Greek_schools_of_philosophy" title="Special:EditPage/Template:Ancient Greek schools of philosophy"><abbr title="Edit this 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style="padding:0 0.25em"> <ul><li><a href="/wiki/Thales_of_Miletus" title="Thales of Miletus">Thales</a></li> <li><a href="/wiki/Solon_of_Athens" class="mw-redirect" title="Solon of Athens">Solon</a></li> <li><a href="/wiki/Pittacus_of_Mytilene" title="Pittacus of Mytilene">Pittacus</a></li> <li><a href="/wiki/Bias_of_Priene" title="Bias of Priene">Bias</a></li> <li><a href="/wiki/Periander_of_Corinth" class="mw-redirect" title="Periander of Corinth">Periander</a></li> <li><a href="/wiki/Cleobulus_of_Lindos" class="mw-redirect" title="Cleobulus of Lindos">Cleobulus</a></li> <li><a href="/wiki/Chilon_of_Sparta" title="Chilon of Sparta">Chilon</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Pre-Socratic_philosophy" title="Pre-Socratic philosophy">Pre-Socratic</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Ionian" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ionian_school_(philosophy)" title="Ionian school (philosophy)">Ionian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ionian_school_(philosophy)" title="Ionian school (philosophy)">Milesian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Thales_of_Miletus" title="Thales of Miletus">Thales</a></li> <li><a href="/wiki/Anaximander" title="Anaximander">Anaximander</a></li> <li><a href="/wiki/Anaximenes_of_Miletus" title="Anaximenes of Miletus">Anaximenes</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Heraclitus" title="Heraclitus">Heraclitean</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Heraclitus" title="Heraclitus">Heraclitus</a></li> <li><a href="/wiki/Cratylus" title="Cratylus">Cratylus</a></li></ul> </div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Diogenes_of_Apollonia" title="Diogenes of Apollonia">Diogenes</a></li></ul></div></td></tr></tbody></table><div> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Italian" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Italian_school_(philosophy)" title="Italian school (philosophy)">Italian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Pythagoreanism" title="Pythagoreanism">Pythagorean</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a class="mw-selflink selflink">Pythagoras</a></li> <li><a href="/wiki/Hippasus" title="Hippasus">Hippasus</a></li> <li><a href="/wiki/Philolaus" title="Philolaus">Philolaus</a></li> <li><a href="/wiki/Archytas" title="Archytas">Archytas</a></li> <li><a href="/wiki/Lamiskos" title="Lamiskos">Lamiskos</a></li> <li><a href="/wiki/Alcmaeon_of_Croton" title="Alcmaeon of Croton">Alcmaeon</a></li> <li><a href="/wiki/Brontinus" title="Brontinus">Brontinus</a></li> <li><a href="/wiki/Theano_(philosopher)" title="Theano (philosopher)">Theano</a></li> <li><a href="/wiki/Damo_(philosopher)" title="Damo (philosopher)">Damo</a></li> <li><a href="/wiki/Calliphon_of_Croton" title="Calliphon of Croton">Calliphon</a></li> <li><a href="/wiki/Hermotimus_of_Clazomenae" title="Hermotimus of Clazomenae">Hermotimus</a></li> <li><a href="/wiki/Metrodorus_of_Cos" title="Metrodorus of Cos">Metrodorus of Cos</a></li> <li><a href="/wiki/Arignote" title="Arignote">Arignote</a></li> <li><a href="/wiki/Myia" title="Myia">Myia</a></li> <li><a href="/wiki/Eurytus_(Pythagorean)" title="Eurytus (Pythagorean)">Eurytus</a></li> <li><a href="/wiki/Category:Pythagoreans" title="Category:Pythagoreans">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Philosophical_skepticism" title="Philosophical skepticism">Skeptic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Xenophanes" title="Xenophanes">Xenophanes</a></li> <li><a href="/wiki/Xeniades" title="Xeniades">Xeniades</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Eleatics" title="Eleatics">Eleatic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Parmenides" title="Parmenides">Parmenides</a></li> <li><a href="/wiki/Zeno_of_Elea" title="Zeno of Elea">Zeno</a></li> <li><a href="/wiki/Melissus_of_Samos" title="Melissus of Samos">Melissus</a></li></ul> </div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Hippo_(philosopher)" title="Hippo (philosopher)">Hippo</a></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Pluralism_(philosophy)" title="Pluralism (philosophy)">Pluralist</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ionian_school_(philosophy)" title="Ionian school (philosophy)">Ionian</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <li><a href="/wiki/Anaxagoras" title="Anaxagoras">Anaxagoras</a></li> <li><a href="/wiki/Archelaus_(philosopher)" title="Archelaus (philosopher)">Archelaus</a></li> <li><a href="/wiki/Metrodorus_of_Lampsacus_(the_elder)" title="Metrodorus of Lampsacus (the elder)">Metrodorus of Lampsacus</a></li> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Italian_school_(philosophy)" title="Italian school (philosophy)">Italian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Empedocles" title="Empedocles">Empedocles</a></li> <li><a href="/wiki/Acron" title="Acron">Acron</a></li> <li><a href="/wiki/Pausanias_of_Sicily" title="Pausanias of Sicily">Pausanias</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Atomism" title="Atomism">Atomist</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Leucippus" title="Leucippus">Leucippus</a></li> <li><a href="/wiki/Democritus" title="Democritus">Democritus</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Sophist" title="Sophist">Sophist</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ionian_school_(philosophy)" title="Ionian school (philosophy)">Ionian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Protagoras" title="Protagoras">Protagoras</a></li> <li><a href="/wiki/Prodicus" title="Prodicus">Prodicus</a></li> <li><a href="/wiki/Hippias" title="Hippias">Hippias</a></li> <li><a href="/wiki/Thrasymachus" title="Thrasymachus">Thrasymachus</a></li> <li><a href="/wiki/Damon_of_Athens" title="Damon of Athens">Damon</a></li> <li><a href="/wiki/Category:Sophists" title="Category:Sophists">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Italian_school_(philosophy)" title="Italian school (philosophy)">Italian</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Gorgias" title="Gorgias">Gorgias</a></li> <li><a href="/wiki/Callicles" title="Callicles">Callicles</a></li> <li><a href="/wiki/Lycophron_(sophist)" title="Lycophron (sophist)">Lycophron</a></li> <li><a href="/wiki/Dionysodorus_(sophist)" title="Dionysodorus (sophist)">Dionysodorus</a></li> <li><a href="/wiki/Euthydemus_of_Chios" title="Euthydemus of Chios">Euthydemus</a></li> <li><a href="/wiki/Category:Sophists" title="Category:Sophists">more...</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Classical_Greek_philosophy" class="mw-redirect" title="Classical Greek philosophy">Classical</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Socrates" title="Socrates">Socrates</a> (<a href="/wiki/Category:Pupils_of_Socrates" title="Category:Pupils of Socrates">students</a>)</li> <li><a href="/wiki/Xenophon" title="Xenophon">Xenophon</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Cynicism_(philosophy)" title="Cynicism (philosophy)">Cynic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Antisthenes" title="Antisthenes">Antisthenes</a></li> <li><a href="/wiki/Diogenes" title="Diogenes">Diogenes</a></li> <li><a href="/wiki/Crates_of_Thebes" title="Crates of Thebes">Crates</a></li> <li><a href="/wiki/Menippus" title="Menippus">Menippus</a></li> <li><a href="/wiki/List_of_Cynic_philosophers" title="List of Cynic philosophers">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Cyrenaics" title="Cyrenaics">Cyrenaic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aristippus" title="Aristippus">Aristippus</a></li> <li><a href="/wiki/Aristippus_the_Younger" title="Aristippus the Younger">Aristippus the Younger</a></li> <li><a href="/wiki/Theodorus_the_Atheist" title="Theodorus the Atheist">Theodorus the Atheist</a></li> <li><a href="/wiki/Hegesias_of_Cyrene" title="Hegesias of Cyrene">Hegesias of Cyrene</a></li> <li><a href="/wiki/Anniceris" title="Anniceris">Anniceris</a></li> <li><a href="/wiki/Category:Cyrenaic_philosophers" title="Category:Cyrenaic philosophers">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Eretrian_school" title="Eretrian school">Eretrian</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Phaedo_of_Elis" title="Phaedo of Elis">Phaedo of Elis</a></li> <li><a href="/wiki/Menedemus" title="Menedemus">Menedemus</a></li> <li><a href="/wiki/Asclepiades_of_Phlius" title="Asclepiades of Phlius">Asclepiades of Phlius</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Megarian_school" title="Megarian school">Megarian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Euclid_of_Megara" title="Euclid of Megara">Euclid of Megara</a></li> <li><a href="/wiki/Ichthyas" title="Ichthyas">Ichthyas</a></li> <li><a href="/wiki/Thrasymachus_of_Corinth" title="Thrasymachus of Corinth">Thrasymachus of Corinth</a></li> <li><a href="/wiki/Eubulides" title="Eubulides">Eubulides</a></li> <li><a href="/wiki/Stilpo" title="Stilpo">Stilpo</a></li> <li><a href="/wiki/Nicarete_of_Megara" title="Nicarete of Megara">Nicarete</a></li> <li><a href="/wiki/Pasicles_of_Thebes" title="Pasicles of Thebes">Pasicles</a></li> <li><a href="/wiki/Bryson_of_Achaea" title="Bryson of Achaea">Bryson</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Dialecticians" scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Megarian_school" title="Megarian school">Dialecticians</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Clinomachus" title="Clinomachus">Clinomachus</a></li> <li><a href="/wiki/Apollonius_Cronus" title="Apollonius Cronus">Apollonius Cronus</a></li> <li><a href="/wiki/Euphantus" title="Euphantus">Euphantus</a></li> <li><a href="/wiki/Dionysius_of_Chalcedon" title="Dionysius of Chalcedon">Dionysius</a></li> <li><a href="/wiki/Diodorus_Cronus" title="Diodorus Cronus">Diodorus Cronus</a></li> <li><a href="/wiki/Philo_the_Dialectician" title="Philo the Dialectician">Philo</a></li> <li><a href="/wiki/Alexinus" title="Alexinus">Alexinus</a></li> <li><a href="/wiki/Panthoides" title="Panthoides">Panthoides</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Platonism" title="Platonism">Platonic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Plato" title="Plato">Plato</a></li> <li><a href="/wiki/Speusippus" title="Speusippus">Speusippus</a></li> <li><a href="/wiki/Xenocrates" title="Xenocrates">Xenocrates</a></li> <li><a href="/wiki/List_of_ancient_Platonists" title="List of ancient Platonists">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Peripatetic_school" title="Peripatetic school">Peripatetic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aristotle" title="Aristotle">Aristotle</a> (<a href="/wiki/Aristotelianism" title="Aristotelianism">Aristotelianism</a>)</li> <li><a href="/wiki/Theophrastus" title="Theophrastus">Theophrastus</a></li> <li><a href="/wiki/Strato_of_Lampsacus" title="Strato of Lampsacus">Strato of Lampsacus</a></li> <li><a href="/wiki/Lyco_of_Troas" title="Lyco of Troas">Lyco of Troas</a></li> <li><a href="/wiki/Alexander_of_Aphrodisias" title="Alexander of Aphrodisias">Alexander of Aphrodisias</a></li> <li><a href="/wiki/Category:Peripatetic_philosophers" title="Category:Peripatetic philosophers">more...</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Hellenistic_philosophy" title="Hellenistic philosophy">Hellenistic</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Pyrrhonism" title="Pyrrhonism">Pyrrhonist</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Pyrrho" title="Pyrrho">Pyrrho</a></li> <li><a href="/wiki/Timon_of_Phlius" title="Timon of Phlius">Timon of Phlius</a></li> <li><a href="/wiki/Aenesidemus" title="Aenesidemus">Aenesidemus</a></li> <li><a href="/wiki/Agrippa_the_Skeptic" title="Agrippa the Skeptic">Agrippa the Skeptic</a></li> <li><a href="/wiki/Sextus_Empiricus" title="Sextus Empiricus">Sextus Empiricus</a></li> <li><a href="/wiki/Category:Ancient_Skeptic_philosophers" title="Category:Ancient Skeptic philosophers">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Stoicism" title="Stoicism">Stoic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Zeno_of_Citium" title="Zeno of Citium">Zeno of Citium</a></li> <li><a href="/wiki/Cleanthes" title="Cleanthes">Cleanthes</a></li> <li><a href="/wiki/Chrysippus" title="Chrysippus">Chrysippus</a></li> <li><a href="/wiki/Panaetius" title="Panaetius">Panaetius</a></li> <li><a href="/wiki/Posidonius" title="Posidonius">Posidonius</a></li> <li><a href="/wiki/Seneca_the_Younger" title="Seneca the Younger">Seneca</a></li> <li><a href="/wiki/Lucius_Annaeus_Cornutus" title="Lucius Annaeus Cornutus">Lucius Annaeus Cornutus</a></li> <li><a href="/wiki/Musonius_Rufus" class="mw-redirect" title="Musonius Rufus">Musonius Rufus</a></li> <li><a href="/wiki/Epictetus" title="Epictetus">Epictetus</a></li> <li><a href="/wiki/Arrian" title="Arrian">Arrian</a></li> <li><a href="/wiki/Marcus_Aurelius" title="Marcus Aurelius">Marcus Aurelius</a></li> <li><a href="/wiki/List_of_Stoic_philosophers" title="List of Stoic philosophers">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Epicureanism" title="Epicureanism">Epicurean</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Epicurus" title="Epicurus">Epicurus</a></li> <li><a href="/wiki/Metrodorus_of_Lampsacus_(the_younger)" title="Metrodorus of Lampsacus (the younger)">Metrodorus</a></li> <li><a href="/wiki/Zeno_of_Sidon" title="Zeno of Sidon">Zeno of Sidon</a></li> <li><a href="/wiki/Philodemus" title="Philodemus">Philodemus</a></li> <li><a href="/wiki/Lucretius" title="Lucretius">Lucretius</a></li> <li><a href="/wiki/Diogenes_of_Oenoanda" title="Diogenes of Oenoanda">Diogenes of Oenoanda</a></li> <li><a href="/wiki/List_of_Epicurean_philosophers" title="List of Epicurean philosophers">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Academic_skepticism" title="Academic skepticism">Academic Skeptic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Arcesilaus" title="Arcesilaus">Arcesilaus</a></li> <li><a href="/wiki/Carneades" title="Carneades">Carneades</a></li> <li><a href="/wiki/Philo_of_Larissa" title="Philo of Larissa">Philo of Larissa</a></li> <li><a href="/wiki/Cicero" title="Cicero">Cicero</a></li> <li><a href="/wiki/List_of_ancient_Platonists" title="List of ancient Platonists">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Middle_Platonism" title="Middle Platonism">Middle Platonic</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Antiochus_of_Ascalon" title="Antiochus of Ascalon">Antiochus</a></li> <li><a href="/wiki/Eudorus_of_Alexandria" title="Eudorus of Alexandria">Eudorus of Alexandria</a></li> <li><a href="/wiki/Philo" title="Philo">Philo of Alexandria</a></li> <li><a href="/wiki/Plutarch" title="Plutarch">Plutarch</a></li> <li><a href="/wiki/Gaius_the_Platonist" title="Gaius the Platonist">Gaius</a></li> <li><a href="/wiki/Apuleius" title="Apuleius">Apuleius</a></li> <li><a href="/wiki/Alcinous_(philosopher)" title="Alcinous (philosopher)">Alcinous</a></li> <li><a href="/wiki/Galen" title="Galen">Galen</a></li> <li><a href="/wiki/List_of_ancient_Platonists" title="List of ancient Platonists">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Neopythagoreanism" title="Neopythagoreanism">Neopythagorean</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Nigidius_Figulus" title="Nigidius Figulus">Nigidius Figulus</a></li> <li><a href="/wiki/Apollonius_of_Tyana" title="Apollonius of Tyana">Apollonius of Tyana</a></li> <li><a href="/wiki/Moderatus_of_Gades" title="Moderatus of Gades">Moderatus of Gades</a></li> <li><a href="/wiki/Nicomachus" title="Nicomachus">Nicomachus</a></li> <li><a href="/wiki/Numenius_of_Apamea" title="Numenius of Apamea">Numenius of Apamea</a></li> <li><a href="/wiki/Category:Neo-Pythagoreans" title="Category:Neo-Pythagoreans">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Neoplatonism" title="Neoplatonism">Neoplatonist</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ammonius_Saccas" title="Ammonius Saccas">Ammonius Saccas</a></li> <li><a href="/wiki/Plotinus" title="Plotinus">Plotinus</a> <ul><li><a href="/wiki/List_of_students_of_Plotinus" title="List of students of Plotinus">students</a></li></ul></li> <li><a href="/wiki/Origen" title="Origen">Origen</a></li> <li><a href="/wiki/Porphyry_(philosopher)" title="Porphyry (philosopher)">Porphyry</a></li> <li><a href="/wiki/Iamblichus" title="Iamblichus">Iamblichus</a></li> <li><a href="/wiki/Julian_(emperor)" title="Julian (emperor)">Julian</a></li> <li><a href="/wiki/Plutarch_of_Athens" title="Plutarch of Athens">Plutarch of Athens</a></li> <li><a href="/wiki/Syrianus" title="Syrianus">Syrianus</a></li> <li><a href="/wiki/Proclus" title="Proclus">Proclus</a></li> <li><a href="/wiki/Ammonius_Hermiae" title="Ammonius Hermiae">Ammonius Hermiae</a></li> <li><a href="/wiki/Damascius" title="Damascius">Damascius</a></li> <li><a href="/wiki/Simplicius_of_Cilicia" title="Simplicius of Cilicia">Simplicius</a></li> <li><a href="/wiki/List_of_ancient_Platonists" title="List of ancient Platonists">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Second_Sophistic" title="Second Sophistic">Second Sophistic</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Nicetes_of_Smyrna" title="Nicetes of Smyrna">Nicetes of Smyrna</a></li> <li><a href="/wiki/Dio_Chrysostom" title="Dio Chrysostom">Dio Chrysostom</a></li> <li><a href="/wiki/Favorinus" title="Favorinus">Favorinus</a></li> <li><a href="/wiki/Lucian" title="Lucian">Lucian</a></li> <li><a href="/wiki/Philostratus" title="Philostratus">Philostratus</a></li> <li><a href="/wiki/Category:Roman-era_Sophists" title="Category:Roman-era Sophists">more...</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Ancient_Greece" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Ancient_Greece_topics" title="Template:Ancient Greece topics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Ancient_Greece_topics" title="Template talk:Ancient Greece topics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Ancient_Greece_topics" title="Special:EditPage/Template:Ancient Greece topics"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Ancient_Greece" style="font-size:114%;margin:0 4em"><a href="/wiki/Ancient_Greece" title="Ancient Greece">Ancient Greece</a></div></th></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><a href="/wiki/Timeline_of_ancient_Greece" title="Timeline of ancient Greece">Timeline</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="HistoryGeography" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li><a href="/wiki/History_of_Greece" title="History of Greece">History</a></li><li><a href="/wiki/Regions_of_ancient_Greece" title="Regions of ancient Greece">Geography</a></li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Periods</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Cycladic_culture" title="Cycladic culture">Cycladic civilization</a></li> <li><a href="/wiki/Minoan_civilization" title="Minoan civilization">Minoan civilization</a></li> <li><a href="/wiki/Mycenaean_Greece" title="Mycenaean Greece">Mycenaean Greece</a></li> <li><a href="/wiki/Greek_Dark_Ages" title="Greek Dark Ages">Greek Dark Ages</a></li> <li><a href="/wiki/Archaic_Greece" title="Archaic Greece">Archaic Greece</a></li> <li><a href="/wiki/Classical_Greece" title="Classical Greece">Classical Greece</a></li> <li><a href="/wiki/Hellenistic_Greece" title="Hellenistic Greece">Hellenistic Greece</a></li> <li><a href="/wiki/Greece_in_the_Roman_era" title="Greece in the Roman era">Roman Greece</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Regions_of_ancient_Greece" title="Regions of ancient Greece">Geography</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aegean_Sea" title="Aegean Sea">Aegean Sea</a></li> <li><a href="/wiki/Aeolis" title="Aeolis">Aeolis</a></li> <li><a href="/wiki/Crete" title="Crete">Crete</a></li> <li><a href="/wiki/Cyrenaica" title="Cyrenaica">Cyrenaica</a></li> <li><a href="/wiki/Cyprus" title="Cyprus">Cyprus</a></li> <li><a href="/wiki/Doric_Hexapolis" title="Doric Hexapolis">Doris</a></li> <li><a href="/wiki/Epirus" title="Epirus">Epirus</a></li> <li><a href="/wiki/Dardanelles" title="Dardanelles">Hellespont</a></li> <li><a href="/wiki/Ionia" title="Ionia">Ionia</a></li> <li><a href="/wiki/Ionian_Sea" title="Ionian Sea">Ionian Sea</a></li> <li><a href="/wiki/Macedonia_(region)" title="Macedonia (region)">Macedonia</a></li> <li><a href="/wiki/Magna_Graecia" title="Magna Graecia">Magna Graecia</a></li> <li><a href="/wiki/Peloponnese" title="Peloponnese">Peloponnesus</a></li> <li><a href="/wiki/Pontus_(region)" title="Pontus (region)">Pontus</a></li> <li><a href="/wiki/Crimea" title="Crimea">Taurica</a></li> <li><a href="/wiki/Colonies_in_antiquity" title="Colonies in antiquity">Ancient Greek colonies</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="City_statesPoliticsMilitary" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li><a href="/wiki/Polis" title="Polis">City states</a></li><li><a href="/wiki/Ancient_Greece#Politics_and_society" title="Ancient Greece">Politics</a></li><li><a href="/wiki/Ancient_Greek_warfare" title="Ancient Greek warfare">Military</a></li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Polis" title="Polis">City states</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ancient_Argos" class="mw-redirect" title="Ancient Argos">Argos</a></li> <li><a href="/wiki/Classical_Athens" title="Classical Athens">Athens</a></li> <li><a href="/wiki/Byzantium" title="Byzantium">Byzantion</a></li> <li><a href="/wiki/Chalcis" title="Chalcis">Chalcis</a></li> <li><a href="/wiki/Ancient_Corinth" title="Ancient Corinth">Corinth</a></li> <li><a href="/wiki/Ephesus" title="Ephesus">Ephesus</a></li> <li><a href="/wiki/Miletus" title="Miletus">Miletus</a></li> <li><a href="/wiki/Pergamon" title="Pergamon">Pergamon</a></li> <li><a href="/wiki/Eretria" title="Eretria">Eretria</a></li> <li><a href="/wiki/Corfu" title="Corfu">Kerkyra</a></li> <li><a href="/wiki/Larissa" title="Larissa">Larissa</a></li> <li><a href="/wiki/Megalopolis,_Greece" title="Megalopolis, Greece">Megalopolis</a></li> <li><a href="/wiki/Thebes,_Greece" title="Thebes, Greece">Thebes</a></li> <li><a href="/wiki/Megara" title="Megara">Megara</a></li> <li><a href="/wiki/Rhodes" title="Rhodes">Rhodes</a></li> <li><a href="/wiki/Samos" title="Samos">Samos</a></li> <li><a href="/wiki/Sparta" title="Sparta">Sparta</a></li> <li><a href="/wiki/Lissus_(Crete)" title="Lissus (Crete)">Lissus (Crete)</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Kingdoms</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Kingdom_of_Bithynia" title="Kingdom of Bithynia">Bithynia</a></li> <li><a href="/wiki/Kingdom_of_Cappadocia" title="Kingdom of Cappadocia">Cappadocia</a></li> <li><a href="/wiki/Epirus_(ancient_state)" title="Epirus (ancient state)">Epirus</a></li> <li><a href="/wiki/Greco-Bactrian_Kingdom" title="Greco-Bactrian Kingdom">Greco-Bactrian Kingdom</a></li> <li><a href="/wiki/Indo-Greek_Kingdom" title="Indo-Greek Kingdom">Indo-Greek Kingdom</a></li> <li><a href="/wiki/Macedonia_(ancient_kingdom)" title="Macedonia (ancient kingdom)">Macedonia</a></li> <li><a href="/wiki/Kingdom_of_Pergamon" title="Kingdom of Pergamon">Pergamon</a></li> <li><a href="/wiki/Kingdom_of_Pontus" title="Kingdom of Pontus">Pontus</a></li> <li><a href="/wiki/Ptolemaic_Kingdom" title="Ptolemaic Kingdom">Ptolemaic Kingdom</a></li> <li><a href="/wiki/Seleucid_Empire" title="Seleucid Empire">Seleucid Empire</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Federation" title="Federation">Federations</a>/<br /><a href="/wiki/Confederation" title="Confederation">Confederations</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Doric_Hexapolis" title="Doric Hexapolis">Doric Hexapolis</a> (<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 1100</span> – c.<span style="white-space:nowrap;"> 560 BC</span>)</li> <li><a href="/wiki/Italiotes#Italiote_League" title="Italiotes">Italiote League</a> (<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 800</span>–389 BC)</li> <li><a href="/wiki/Ionian_League" title="Ionian League">Ionian League</a> (c. 650–404 BC)</li> <li><a href="/wiki/Peloponnesian_League" title="Peloponnesian League">Peloponnesian League</a> (<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 550</span>–366 BC)</li> <li><a href="/wiki/Amphictyonic_League" class="mw-redirect" title="Amphictyonic League">Amphictyonic League</a> (<abbr title="circa">c.</abbr><span style="white-space:nowrap;"> 595</span>–279 BC)</li> <li><a href="/wiki/Acarnanian_League" title="Acarnanian League">Acarnanian League</a> (c. 500–31 BC)</li> <li><a href="/wiki/Greco-Persian_Wars" title="Greco-Persian Wars">Hellenic League</a> (499–449 BC)</li> <li><a href="/wiki/Delian_League" title="Delian League">Delian League</a> (478–404 BC)</li> <li><a href="/wiki/Chalcidian_League" title="Chalcidian League">Chalcidian League</a> (430–348 BC)</li> <li><a href="/wiki/Boeotia#Boeotian_League" title="Boeotia">Boeotian League</a> (c. 424–c. 395 BC)</li> <li><a href="/wiki/Aetolian_League" title="Aetolian League">Aetolian League</a> (c. 400–188 BC)</li> <li><a href="/wiki/Second_Athenian_League" title="Second Athenian League">Second Athenian League</a> (378–355 BC)</li> <li><a href="/wiki/Thessalian_League" title="Thessalian League">Thessalian League</a> (374–196 BC)</li> <li><a href="/wiki/Arcadian_League" title="Arcadian League">Arcadian League</a> (370–c. 230 BC)</li> <li><a href="/wiki/Epirote_League" title="Epirote League">Epirote League</a> (370–168 BC)</li> <li><a href="/wiki/League_of_Corinth" title="League of Corinth">League of Corinth</a> (338–322 BC)</li> <li><a href="/wiki/Euboean_League" title="Euboean League">Euboean League</a> (c. 300 BC–c. 300 AD)</li> <li><a href="/wiki/Achaean_League" title="Achaean League">Achaean League</a> (280–146 BC)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greece#Politics_and_society" title="Ancient Greece">Politics</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Boule_(ancient_Greece)" title="Boule (ancient Greece)">Boule</a></li> <li><a href="/wiki/Free_city_(classical_antiquity)" title="Free city (classical antiquity)">Free city</a></li> <li><a href="/wiki/Koinon" title="Koinon">Koinon</a></li> <li><a href="/wiki/Proxeny" title="Proxeny">Proxeny</a></li> <li><a href="/wiki/Stasis_(ancient_Greece)" title="Stasis (ancient Greece)">Stasis</a></li> <li><a href="/wiki/Tagus_(title)" title="Tagus (title)">Tagus</a></li> <li><a href="/wiki/Tyrant" title="Tyrant">Tyrant</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Athenian_democracy" title="Athenian democracy">Athenian</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agora" title="Agora">Agora</a></li> <li><a href="/wiki/Areopagus" title="Areopagus">Areopagus</a></li> <li><a href="/wiki/Ecclesia_(ancient_Athens)" class="mw-redirect" title="Ecclesia (ancient Athens)">Ecclesia</a></li> <li><a href="/wiki/Graphe_paranomon" title="Graphe paranomon">Graphe paranomon</a></li> <li><a href="/wiki/Heliaia" title="Heliaia">Heliaia</a></li> <li><a href="/wiki/Ostracism" title="Ostracism">Ostracism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Spartan_Constitution" title="Spartan Constitution">Spartan</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ecclesia_(Sparta)" title="Ecclesia (Sparta)">Ekklesia</a></li> <li><a href="/wiki/Ephor" title="Ephor">Ephor</a></li> <li><a href="/wiki/Gerousia" title="Gerousia">Gerousia</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Macedonia_(ancient_kingdom)" title="Macedonia (ancient kingdom)">Macedon</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Synedrion" title="Synedrion">Synedrion</a></li> <li><a href="/wiki/Koinon_of_Macedonians" class="mw-redirect" title="Koinon of Macedonians">Koinon</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greek_warfare" title="Ancient Greek warfare">Military</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_wars_involving_Greece" title="List of wars involving Greece">Wars</a></li> <li><a href="/wiki/Athenian_military" title="Athenian military">Athenian military</a> <ul><li><a href="/wiki/Scythian_archers" title="Scythian archers">Scythian archers</a></li></ul></li> <li><a href="/wiki/Antigonid_Macedonian_army" title="Antigonid Macedonian army">Antigonid Macedonian army</a></li> <li><a href="/wiki/Ancient_Macedonian_army" title="Ancient Macedonian army">Army of Macedon</a></li> <li><a href="/wiki/Ballista" title="Ballista">Ballista</a></li> <li><a href="/wiki/Cretan_archers" title="Cretan archers">Cretan archers</a></li> <li><a href="/wiki/Hellenistic_armies" title="Hellenistic armies">Hellenistic armies</a></li> <li><a href="/wiki/Hippeis" title="Hippeis">Hippeis</a></li> <li><a href="/wiki/Hoplite" title="Hoplite">Hoplite</a></li> <li><a href="/wiki/Companion_cavalry" title="Companion cavalry">Hetairoi</a></li> <li><a href="/wiki/Macedonian_phalanx" title="Macedonian phalanx">Macedonian phalanx</a></li> <li><a href="/wiki/Military_of_Mycenaean_Greece" title="Military of Mycenaean Greece">Military of Mycenaean Greece</a></li> <li><a href="/wiki/Phalanx" title="Phalanx">Phalanx</a></li> <li><a href="/wiki/Peltast" title="Peltast">Peltast</a></li> <li><a href="/wiki/Pezhetairos" title="Pezhetairos">Pezhetairos</a></li> <li><a href="/wiki/Sarissa" title="Sarissa">Sarissa</a></li> <li><a href="/wiki/Sacred_Band_of_Thebes" title="Sacred Band of Thebes">Sacred Band of Thebes</a></li> <li><a href="/wiki/Sciritae" title="Sciritae">Sciritae</a></li> <li><a href="/wiki/Seleucid_army" title="Seleucid army">Seleucid army</a></li> <li><a href="/wiki/Spartan_army" title="Spartan army">Spartan army</a></li> <li><a href="/wiki/Strategos" title="Strategos">Strategos</a></li> <li><a href="/wiki/Toxotai" title="Toxotai">Toxotai</a></li> <li><a href="/wiki/Xiphos" title="Xiphos">Xiphos</a></li> <li><a href="/wiki/Xyston" title="Xyston">Xyston</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="People" style="font-size:114%;margin:0 4em"><a href="/wiki/Category:Ancient_Greeks" title="Category:Ancient Greeks">People</a></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td class="navbox-abovebelow" colspan="2"><div id="List_of_ancient_Greeks"><a href="/wiki/List_of_ancient_Greeks" title="List of ancient Greeks">List of ancient Greeks</a></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Lists_of_rulers_of_Greece#Antiquity" class="mw-redirect" title="Lists of rulers of Greece">Rulers</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_kings_of_Argos" title="List of kings of Argos">Kings of Argos</a></li> <li><a href="/wiki/Eponymous_archon" title="Eponymous archon">Archons of Athens</a></li> <li><a href="/wiki/List_of_kings_of_Athens" title="List of kings of Athens">Kings of Athens</a></li> <li><a href="/wiki/List_of_rulers_of_Commagene" class="mw-redirect" title="List of rulers of Commagene">Kings of Commagene</a></li> <li><a href="/wiki/Diadochi" title="Diadochi">Diadochi</a></li> <li><a href="/wiki/List_of_kings_of_Macedonia" title="List of kings of Macedonia">Kings of Macedonia</a></li> <li><a href="/wiki/List_of_rulers_of_Thrace_and_Dacia" class="mw-redirect" title="List of rulers of Thrace and Dacia">Kings of Paionia</a></li> <li><a href="/wiki/Attalid_dynasty" class="mw-redirect" title="Attalid dynasty">Attalid kings of Pergamon</a></li> <li><a href="/wiki/List_of_kings_of_Pontus" class="mw-redirect" title="List of kings of Pontus">Kings of Pontus</a></li> <li><a href="/wiki/Ptolemaic_dynasty" title="Ptolemaic dynasty">Ptolemaic dynasty</a></li> <li><a href="/wiki/Seleucid_dynasty" title="Seleucid dynasty">Seleucid dynasty</a></li> <li><a href="/wiki/List_of_kings_of_Sparta" title="List of kings of Sparta">Kings of Sparta</a></li> <li><a href="/wiki/List_of_tyrants_of_Syracuse" title="List of tyrants of Syracuse">Tyrants of Syracuse</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Artists & scholars</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_ancient_Greek_astronomers" title="List of ancient Greek astronomers">Astronomers</a></li> <li><a href="/wiki/List_of_Graeco-Roman_geographers" title="List of Graeco-Roman geographers">Geographers</a></li> <li><a href="/wiki/List_of_ancient_Greek_historians" title="List of ancient Greek historians">Historians</a></li> <li><a href="/wiki/List_of_ancient_Greek_mathematicians" title="List of ancient Greek mathematicians">Mathematicians</a></li> <li><a href="/wiki/List_of_ancient_Greek_philosophers" title="List of ancient Greek philosophers">Philosophers</a></li> <li><a href="/wiki/List_of_ancient_Greek_playwrights" title="List of ancient Greek playwrights">Playwrights</a></li> <li><a href="/wiki/List_of_ancient_Greek_poets" title="List of ancient Greek poets">Poets</a></li> <li><a href="/wiki/Seven_Sages_of_Greece" title="Seven Sages of Greece">Seven Sages</a></li> <li><a href="/wiki/List_of_ancient_Greek_writers" title="List of ancient Greek writers">Writers</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greek_philosophy" title="Ancient Greek philosophy">Philosophers</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Anaxagoras" title="Anaxagoras">Anaxagoras</a></li> <li><a href="/wiki/Anaximander" title="Anaximander">Anaximander</a></li> <li><a href="/wiki/Anaximenes_of_Miletus" title="Anaximenes of Miletus">Anaximenes</a></li> <li><a href="/wiki/Antisthenes" title="Antisthenes">Antisthenes</a></li> <li><a href="/wiki/Aristotle" title="Aristotle">Aristotle</a></li> <li><a href="/wiki/Democritus" title="Democritus">Democritus</a></li> <li><a href="/wiki/Diogenes" title="Diogenes">Diogenes of Sinope</a></li> <li><a href="/wiki/Empedocles" title="Empedocles">Empedocles</a></li> <li><a href="/wiki/Epicurus" title="Epicurus">Epicurus</a></li> <li><a href="/wiki/Gorgias" title="Gorgias">Gorgias</a></li> <li><a href="/wiki/Heraclitus" title="Heraclitus">Heraclitus</a></li> <li><a href="/wiki/Hypatia" title="Hypatia">Hypatia</a></li> <li><a href="/wiki/Leucippus" title="Leucippus">Leucippus</a></li> <li><a href="/wiki/Parmenides" title="Parmenides">Parmenides</a></li> <li><a href="/wiki/Plato" title="Plato">Plato</a></li> <li><a href="/wiki/Protagoras" title="Protagoras">Protagoras</a></li> <li><a class="mw-selflink selflink">Pythagoras</a></li> <li><a href="/wiki/Socrates" title="Socrates">Socrates</a></li> <li><a href="/wiki/Thales_of_Miletus" title="Thales of Miletus">Thales</a></li> <li><a href="/wiki/Zeno_of_Elea" title="Zeno of Elea">Zeno</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greek_literature" title="Ancient Greek literature">Authors</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aeschylus" title="Aeschylus">Aeschylus</a></li> <li><a href="/wiki/Aesop" title="Aesop">Aesop</a></li> <li><a href="/wiki/Alcaeus_of_Mytilene" class="mw-redirect" title="Alcaeus of Mytilene">Alcaeus</a></li> <li><a href="/wiki/Archilochus" title="Archilochus">Archilochus</a></li> <li><a href="/wiki/Aristophanes" title="Aristophanes">Aristophanes</a></li> <li><a href="/wiki/Bacchylides" title="Bacchylides">Bacchylides</a></li> <li><a href="/wiki/Euripides" title="Euripides">Euripides</a></li> <li><a href="/wiki/Herodotus" title="Herodotus">Herodotus</a></li> <li><a href="/wiki/Hesiod" title="Hesiod">Hesiod</a></li> <li><a href="/wiki/Hipponax" title="Hipponax">Hipponax</a></li> <li><a href="/wiki/Homer" title="Homer">Homer</a></li> <li><a href="/wiki/Ibycus" title="Ibycus">Ibycus</a></li> <li><a href="/wiki/Lucian" title="Lucian">Lucian</a></li> <li><a href="/wiki/Menander" title="Menander">Menander</a></li> <li><a href="/wiki/Mimnermus" title="Mimnermus">Mimnermus</a></li> <li><a href="/wiki/Panyassis" title="Panyassis">Panyassis</a></li> <li><a href="/wiki/Philocles" title="Philocles">Philocles</a></li> <li><a href="/wiki/Pindar" title="Pindar">Pindar</a></li> <li><a href="/wiki/Plutarch" title="Plutarch">Plutarch</a></li> <li><a href="/wiki/Polybius" title="Polybius">Polybius</a></li> <li><a href="/wiki/Sappho" title="Sappho">Sappho</a></li> <li><a href="/wiki/Simonides_of_Ceos" title="Simonides of Ceos">Simonides</a></li> <li><a href="/wiki/Sophocles" title="Sophocles">Sophocles</a></li> <li><a href="/wiki/Stesichorus" title="Stesichorus">Stesichorus</a></li> <li><a href="/wiki/Theognis_of_Megara" title="Theognis of Megara">Theognis</a></li> <li><a href="/wiki/Thucydides" title="Thucydides">Thucydides</a></li> <li><a href="/wiki/Timocreon" title="Timocreon">Timocreon</a></li> <li><a href="/wiki/Tyrtaeus" title="Tyrtaeus">Tyrtaeus</a></li> <li><a href="/wiki/Xenophon" title="Xenophon">Xenophon</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Others</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_ancient_Athenian_statesmen" class="mw-redirect" title="List of ancient Athenian statesmen">Athenian statesmen</a></li> <li><a href="/wiki/List_of_ancient_Greek_lawgivers" title="List of ancient Greek lawgivers">Lawgivers</a></li> <li><a href="/wiki/List_of_ancient_Olympic_victors" title="List of ancient Olympic victors">Olympic victors</a></li> <li><a href="/wiki/List_of_ancient_Greek_tyrants" title="List of ancient Greek tyrants">Tyrants</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">By culture</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_ancient_Greek_tribes" title="List of ancient Greek tribes">Ancient Greek tribes</a></li> <li><a href="/wiki/List_of_Thracian_Greeks" title="List of Thracian Greeks">Thracian Greeks</a></li> <li><a href="/wiki/List_of_ancient_Macedonians" title="List of ancient Macedonians">Ancient Macedonians</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="SocietyCulture" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li><a href="/wiki/Ancient_Greece#Politics_and_society" title="Ancient Greece">Society</a></li><li><a href="/wiki/Culture_of_Greece" title="Culture of Greece">Culture</a></li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greece#Politics_and_society" title="Ancient Greece">Society</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agriculture_in_ancient_Greece" title="Agriculture in ancient Greece">Agriculture</a></li> <li><a href="/wiki/Ancient_Greek_calendars" title="Ancient Greek calendars">Calendar</a></li> <li><a href="/wiki/Clothing_in_ancient_Greece" title="Clothing in ancient Greece">Clothing</a></li> <li><a href="/wiki/Ancient_Greek_coinage" title="Ancient Greek coinage">Coinage</a></li> <li><a href="/wiki/Ancient_Greek_cuisine" title="Ancient Greek cuisine">Cuisine</a></li> <li><a href="/wiki/Economy_of_ancient_Greece" title="Economy of ancient Greece">Economy</a></li> <li><a href="/wiki/Paideia" title="Paideia">Education</a></li> <li><a href="/wiki/Emporium_(antiquity)" title="Emporium (antiquity)">Emporium</a></li> <li><a href="/wiki/Euergetism" title="Euergetism">Euergetism</a></li> <li><a href="/wiki/Athenian_festivals" title="Athenian festivals">Festivals</a></li> <li><a href="/wiki/Ancient_Greek_folklore" title="Ancient Greek folklore">Folklore</a></li> <li><a href="/wiki/Homosexuality_in_ancient_Greece" title="Homosexuality in ancient Greece">Homosexuality</a></li> <li><a href="/wiki/Ancient_Greek_law" title="Ancient Greek law">Law</a></li> <li><a href="/wiki/Ancient_Olympic_Games" title="Ancient Olympic Games">Olympic Games</a></li> <li><a href="/wiki/Pederasty_in_ancient_Greece" title="Pederasty in ancient Greece">Pederasty</a></li> <li><a href="/wiki/Ancient_Greek_philosophy" title="Ancient Greek philosophy">Philosophy</a></li> <li><a href="/wiki/Prostitution_in_ancient_Greece" title="Prostitution in ancient Greece">Prostitution</a></li> <li><a href="/wiki/Ancient_Greek_religion" title="Ancient Greek religion">Religion</a></li> <li><a href="/wiki/Slavery_in_ancient_Greece" title="Slavery in ancient Greece">Slavery</a></li> <li><a href="/wiki/Ancient_Greek_warfare" title="Ancient Greek warfare">Warfare</a></li> <li><a href="/wiki/Marriage_in_ancient_Greece" title="Marriage in ancient Greece">Wedding customs</a></li> <li><a href="/wiki/Ancient_Greece_and_wine" title="Ancient Greece and wine">Wine</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greek_art" title="Ancient Greek art">Arts</a> and science</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ancient_Greek_architecture" title="Ancient Greek architecture">Architecture</a> <ul><li><a href="/wiki/Greek_Revival_architecture" title="Greek Revival architecture">Greek Revival architecture</a></li></ul></li> <li><a href="/wiki/Ancient_Greek_astronomy" title="Ancient Greek astronomy">Astronomy</a></li> <li><a href="/wiki/Ancient_Greek_literature" title="Ancient Greek literature">Literature</a></li> <li><a href="/wiki/Greek_mathematics" title="Greek mathematics">Mathematics</a></li> <li><a href="/wiki/Ancient_Greek_medicine" title="Ancient Greek medicine">Medicine</a></li> <li><a href="/wiki/Music_of_ancient_Greece" title="Music of ancient Greece">Music</a> <ul><li><a href="/wiki/Musical_system_of_ancient_Greece" title="Musical system of ancient Greece">Musical system</a></li></ul></li> <li><a href="/wiki/Pottery_of_ancient_Greece" title="Pottery of ancient Greece">Pottery</a></li> <li><a href="/wiki/Ancient_Greek_sculpture" title="Ancient Greek sculpture">Sculpture</a></li> <li><a href="/wiki/Ancient_Greek_technology" title="Ancient Greek technology">Technology</a></li> <li><a href="/wiki/Theatre_of_ancient_Greece" title="Theatre of ancient Greece">Theatre</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greek_religion" title="Ancient Greek religion">Religion</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ancient_Greek_funeral_and_burial_practices" title="Ancient Greek funeral and burial practices">Funeral and burial practices</a></li> <li><a href="/wiki/Greek_mythology" title="Greek mythology">Mythology</a> <ul><li><a href="/wiki/List_of_Greek_mythological_figures" title="List of Greek mythological figures">mythological figures</a></li></ul></li> <li><a href="/wiki/Ancient_Greek_temple" title="Ancient Greek temple">Temple</a></li> <li><a href="/wiki/Twelve_Olympians" title="Twelve Olympians">Twelve Olympians</a></li> <li><a href="/wiki/Greek_underworld" title="Greek underworld">Underworld</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;text-align:left;">Sacred places</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Eleusis" class="mw-redirect" title="Eleusis">Eleusis</a></li> <li><a href="/wiki/Delphi" title="Delphi">Delphi</a></li> <li><a href="/wiki/Delos" title="Delos">Delos</a></li> <li><a href="/wiki/Dion,_Pieria" title="Dion, Pieria">Dion</a></li> <li><a href="/wiki/Dodona" title="Dodona">Dodona</a></li> <li><a href="/wiki/Mount_Olympus" title="Mount Olympus">Mount Olympus</a></li> <li><a href="/wiki/Olympia,_Greece" title="Olympia, Greece">Olympia</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Structures</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Athenian_Treasury" title="Athenian Treasury">Athenian Treasury</a></li> <li><a href="/wiki/Lion_Gate" title="Lion Gate">Lion Gate</a></li> <li><a href="/wiki/Long_Walls" title="Long Walls">Long Walls</a></li> <li><a href="/wiki/Philippeion" title="Philippeion">Philippeion</a></li> <li><a href="/wiki/Theatre_of_Dionysus" title="Theatre of Dionysus">Theatre of Dionysus</a></li> <li><a href="/wiki/Tunnel_of_Eupalinos" title="Tunnel of Eupalinos">Tunnel of Eupalinos</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%;font-weight:normal;"><a href="/wiki/Ancient_Greek_temple" title="Ancient Greek temple">Temples</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Temple_of_Aphaea" class="mw-redirect" title="Temple of Aphaea">Aphaea</a></li> <li><a href="/wiki/Temple_of_Artemis" title="Temple of Artemis">Artemis</a></li> <li><a href="/wiki/Temple_of_Athena_Nike" title="Temple of Athena Nike">Athena Nike</a></li> <li><a href="/wiki/Erechtheion" title="Erechtheion">Erechtheion</a></li> <li><a href="/wiki/Temple_of_Hephaestus" title="Temple of Hephaestus">Hephaestus</a></li> <li><a href="/wiki/Temple_of_Hera,_Olympia" title="Temple of Hera, Olympia">Hera, Olympia</a></li> <li><a href="/wiki/Parthenon" title="Parthenon">Parthenon</a></li> <li><a href="/wiki/Samothrace_temple_complex" title="Samothrace temple complex">Samothrace</a></li> <li><a href="/wiki/Temple_of_Zeus,_Olympia" title="Temple of Zeus, Olympia">Zeus, Olympia</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Ancient_Greek" title="Ancient Greek">Language</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Proto-Greek_language" title="Proto-Greek language">Proto-Greek</a></li> <li><a href="/wiki/Mycenaean_Greek" title="Mycenaean Greek">Mycenaean</a></li> <li><a href="/wiki/Homeric_Greek" title="Homeric Greek">Homeric</a></li> <li><a href="/wiki/Ancient_Greek_dialects" title="Ancient Greek dialects">Dialects</a> <ul><li><a href="/wiki/Aeolic_Greek" title="Aeolic Greek">Aeolic</a></li> <li><a href="/wiki/Arcadocypriot_Greek" title="Arcadocypriot Greek">Arcadocypriot</a></li> <li><a href="/wiki/Attic_Greek" title="Attic Greek">Attic</a></li> <li><a href="/wiki/Doric_Greek" title="Doric Greek">Doric</a></li> <li><a href="/wiki/Epirote_Greek" title="Epirote Greek">Epirote</a></li> <li><a href="/wiki/Ionic_Greek" title="Ionic Greek">Ionic</a></li> <li><a href="/wiki/Locrian_Greek" title="Locrian Greek">Locrian</a></li> <li><a href="/wiki/Ancient_Macedonian_language" title="Ancient Macedonian language">Macedonian</a></li> <li><a href="/wiki/Pamphylian_Greek" title="Pamphylian Greek">Pamphylian</a></li></ul></li> <li><a href="/wiki/Koine_Greek" title="Koine Greek">Koine</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/History_of_the_Greek_alphabet" title="History of the Greek alphabet">Writing</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Linear_A" title="Linear A">Linear A</a></li> <li><a href="/wiki/Linear_B" title="Linear B">Linear B</a></li> <li><a href="/wiki/Cypriot_syllabary" title="Cypriot syllabary">Cypriot syllabary</a></li> <li><a href="/wiki/Greek_alphabet" title="Greek alphabet">Greek alphabet</a></li> <li><a href="/wiki/Greek_numerals" title="Greek numerals">Greek numerals</a></li> <li><a href="/wiki/Attic_numerals" title="Attic numerals">Attic numerals</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Greek_colonisation" style="font-size:114%;margin:0 4em"><div class="hlist"><ul><li><a href="/wiki/Greek_colonisation" title="Greek colonisation">Greek colonisation</a></li></ul></div></div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Magna_Graecia" title="Magna Graecia">Magna Graecia</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Mainland<br />Italy</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Lecce" title="Lecce">Alision</a></li> <li><a href="/wiki/Brindisi" title="Brindisi">Brentesion</a></li> <li><a href="/wiki/Caulonia_(ancient_city)" title="Caulonia (ancient city)">Caulonia</a></li> <li><a href="/wiki/Casabona" title="Casabona">Chone</a></li> <li><a href="/wiki/Crotone" title="Crotone">Croton</a></li> <li><a href="/wiki/Cumae" title="Cumae">Cumae</a></li> <li><a href="/wiki/Velia" title="Velia">Elea</a></li> <li><a href="/wiki/Heraclea_Lucania" title="Heraclea Lucania">Heraclea Lucania</a></li> <li><a href="/wiki/Vibo_Valentia" title="Vibo Valentia">Hipponion</a></li> <li><a href="/wiki/Otranto" title="Otranto">Hydrus</a></li> <li><a href="/wiki/Krimisa" title="Krimisa">Krimisa</a></li> <li><a href="/wiki/La%C3%BCs" title="Laüs">Laüs</a></li> <li><a href="/wiki/Locri" title="Locri">Locri</a></li> <li><a href="/wiki/Medma" title="Medma">Medma</a></li> <li><a href="/wiki/Metauros" title="Metauros">Metauros</a></li> <li><a href="/wiki/Metapontum" title="Metapontum">Metapontion</a></li> <li><a href="/wiki/Naples" title="Naples">Neápolis</a></li> <li><a href="/wiki/Pandosia_(Lucania)" title="Pandosia (Lucania)">Pandosia (Lucania)</a></li> <li><a href="/wiki/Paestum" title="Paestum">Poseidonia</a></li> <li><a href="/wiki/Policastro_Bussentino" title="Policastro Bussentino">Pixous</a></li> <li><a href="/wiki/Reggio_Calabria" title="Reggio Calabria">Rhegion</a></li> <li><a href="/wiki/Scylletium" title="Scylletium">Scylletium</a></li> <li><a href="/wiki/Siris_(Magna_Graecia)" class="mw-redirect" title="Siris (Magna Graecia)">Siris</a></li> <li><a href="/wiki/Sybaris" title="Sybaris">Sybaris</a></li> <li><a href="/wiki/Sybaris_on_the_Traeis" title="Sybaris on the Traeis">Sybaris on the Traeis</a></li> <li><a href="/wiki/Taranto" title="Taranto">Taras</a></li> <li><a href="/wiki/Terina_(ancient_city)" title="Terina (ancient city)">Terina</a></li> <li><a href="/wiki/Thurii" title="Thurii">Thurii</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Sicily" title="Sicily">Sicily</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Agrigento" title="Agrigento">Akragas</a></li> <li><a href="/wiki/Akrai" title="Akrai">Akrai</a></li> <li><a href="/wiki/Akrillai" title="Akrillai">Akrillai</a></li> <li><a href="/wiki/Apollonia_(Sicily)" title="Apollonia (Sicily)">Apollonia</a></li> <li><a href="/wiki/Caronia" title="Caronia">Calacte</a></li> <li><a href="/wiki/Casmenae" title="Casmenae">Casmenae</a></li> <li><a href="/wiki/Catania" title="Catania">Catana</a></li> <li><a href="/wiki/Gela" title="Gela">Gela</a></li> <li><a href="/wiki/Helorus" title="Helorus">Helorus</a></li> <li><a href="/wiki/Enna" title="Enna">Henna</a></li> <li><a href="/wiki/Heraclea_Minoa" title="Heraclea Minoa">Heraclea Minoa</a></li> <li><a href="/wiki/Himera" title="Himera">Himera</a></li> <li><a href="/wiki/Hybla_Gereatis" title="Hybla Gereatis">Hybla Gereatis</a></li> <li><a href="/wiki/Hybla_Heraea" title="Hybla Heraea">Hybla Heraea</a></li> <li><a href="/wiki/Kamarina,_Sicily" title="Kamarina, Sicily">Kamarina</a></li> <li><a href="/wiki/Lentini" title="Lentini">Leontinoi</a></li> <li><a href="/wiki/Megara_Hyblaea" title="Megara Hyblaea">Megara Hyblaea</a></li> <li><a href="/wiki/Messina" title="Messina">Messana</a></li> <li><a href="/wiki/Naxos_(Sicily)" title="Naxos (Sicily)">Naxos</a></li> <li><a href="/wiki/Segesta" title="Segesta">Segesta</a></li> <li><a href="/wiki/Selinunte" title="Selinunte">Selinous</a></li> <li><a href="/wiki/Syracuse,_Sicily" title="Syracuse, Sicily">Syracuse</a></li> <li><a href="/wiki/Taormina" title="Taormina">Tauromenion</a></li> <li><a href="/wiki/Sciacca" title="Sciacca">Thermae</a></li> <li><a href="/wiki/Tindari" title="Tindari">Tyndaris</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Aeolian_Islands" title="Aeolian Islands">Aeolian Islands</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Salina,_Sicily" title="Salina, Sicily">Didyme</a></li> <li><a href="/wiki/Panarea" title="Panarea">Euonymos</a></li> <li><a href="/wiki/Alicudi" title="Alicudi">Ereikousa</a></li> <li><a href="/wiki/Basiluzzo" title="Basiluzzo">Hycesia</a></li> <li><a href="/wiki/Lipari" title="Lipari">Lipara/Meligounis</a></li> <li><a href="/wiki/Filicudi" title="Filicudi">Phoenicusa</a></li> <li><a href="/wiki/Stromboli" title="Stromboli">Strongyle</a></li> <li><a href="/wiki/Vulcano" title="Vulcano">Therassía</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Cyrenaica" title="Cyrenaica">Cyrenaica</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bayda,_Libya" title="Bayda, Libya">Balagrae</a></li> <li><a href="/wiki/Barca_(ancient_city)" title="Barca (ancient city)">Barca</a></li> <li><a href="/wiki/Benghazi" title="Benghazi">Berenice</a></li> <li><a href="/wiki/Cyrene,_Libya" title="Cyrene, Libya">Cyrene</a> (<a href="/wiki/Apollonia,_Cyrenaica" class="mw-redirect" title="Apollonia, Cyrenaica">Apollonia</a>)</li> <li><a href="/wiki/Ptolemais,_Cyrenaica" title="Ptolemais, Cyrenaica">Ptolemais</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Iberian_Peninsula" title="Iberian Peninsula">Iberian Peninsula</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Lucentum" title="Lucentum">Akra Leuke</a></li> <li><a href="/wiki/Villajoyosa" title="Villajoyosa">Alonis</a></li> <li><a href="/wiki/Emp%C3%BAries" title="Empúries">Emporion</a></li> <li><a href="/wiki/Elche" title="Elche">Helike</a></li> <li><a href="/wiki/D%C3%A9nia" title="Dénia">Hemeroscopion</a></li> <li><a href="/wiki/Aljaraque" title="Aljaraque">Kalathousa</a></li> <li><a href="/wiki/Sant_Mart%C3%AD_d%27Emp%C3%BAries" title="Sant Martí d'Empúries">Kypsela</a></li> <li><a href="/wiki/Mainake_(Greek_settlement)" title="Mainake (Greek settlement)">Mainake</a></li> <li><a href="/wiki/El_Puerto_de_Santa_Mar%C3%ADa" title="El Puerto de Santa María">Menestheus's Limin</a></li> <li><a href="/wiki/Santa_Pola" title="Santa Pola">Illicitanus Limin/Portus Illicitanus</a></li> <li><a href="/wiki/Roses,_Girona" class="mw-redirect" title="Roses, Girona">Rhode</a></li> <li><a href="/wiki/Salou" title="Salou">Salauris</a></li> <li><a href="/wiki/Sagunto" title="Sagunto">Zacynthos</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Illyria" title="Illyria">Illyria</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Aspalathos" class="mw-redirect" title="Aspalathos">Aspalathos</a></li> <li><a href="/wiki/Apollonia_(Illyria)" title="Apollonia (Illyria)">Apollonia</a></li> <li><a href="/wiki/Vlor%C3%AB#Early_history" title="Vlorë">Aulon</a></li> <li><a href="/wiki/Epidamnos" title="Epidamnos">Epidamnos</a></li> <li><a href="/wiki/Epidaurum" title="Epidaurum">Epidauros</a></li> <li><a href="/wiki/Issa_(polis)" class="mw-redirect" title="Issa (polis)">Issa</a></li> <li><a href="/wiki/Melaina_Korkyra" class="mw-redirect" title="Melaina Korkyra">Melaina Korkyra</a></li> <li><a href="/wiki/Nymphaeum_(Illyria)" title="Nymphaeum (Illyria)">Nymphaion</a></li> <li><a href="/wiki/Oricum" title="Oricum">Orikon</a></li> <li><a href="/wiki/Pharos_(polis)" class="mw-redirect" title="Pharos (polis)">Pharos</a></li> <li><a href="/wiki/Tragurion" class="mw-redirect" title="Tragurion">Tragurion</a></li> <li><a href="/wiki/Thronion_(Illyria)" title="Thronion (Illyria)">Thronion</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Black_Sea" title="Black Sea">Black Sea</a><br />basin</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">North<br />coast</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Akra_(Crimmerian_Bosporus)" class="mw-redirect" title="Akra (Crimmerian Bosporus)">Akra</a></li> <li><a href="/wiki/Berezan_Island" title="Berezan Island">Borysthenes</a></li> <li><a href="/wiki/Charax,_Crimea" title="Charax, Crimea">Charax</a></li> <li><a href="/wiki/Chersonesus" title="Chersonesus">Chersonesus</a></li> <li><a href="/wiki/Sukhumi" title="Sukhumi">Dioscurias</a></li> <li><a href="/wiki/Anapa" title="Anapa">Gorgippia</a></li> <li><a href="/wiki/Tmutarakan" title="Tmutarakan">Hermonassa</a></li> <li><a href="/wiki/Kalos_Limen" title="Kalos Limen">Kalos Limen</a></li> <li><a href="/wiki/Kepoi" title="Kepoi">Kepoi</a></li> <li><a href="/wiki/Yevpatoria" title="Yevpatoria">Kerkinitis</a></li> <li><a href="/wiki/Kimmerikon" title="Kimmerikon">Kimmerikon</a></li> <li><a href="/wiki/Myrmekion" class="mw-redirect" title="Myrmekion">Myrmekion</a></li> <li><a href="/wiki/Nikonion" class="mw-redirect" title="Nikonion">Nikonion</a></li> <li><a href="/wiki/Nymphaion_(Crimea)" title="Nymphaion (Crimea)">Nymphaion</a></li> <li><a href="/wiki/Olbia_(Pontic)" class="mw-redirect" title="Olbia (Pontic)">Olbia</a></li> <li><a href="/wiki/Pantikapaion" title="Pantikapaion">Pantikapaion</a></li> <li><a href="/wiki/Phanagoria" title="Phanagoria">Phanagoria</a></li> <li><a href="/wiki/Pitsunda" title="Pitsunda">Pityus</a></li> <li><a href="/wiki/Tanais" title="Tanais">Tanais</a></li> <li><a href="/wiki/Feodosia" title="Feodosia">Theodosia</a></li> <li><a href="/wiki/Tyras" title="Tyras">Tyras</a></li> <li><a href="/wiki/Tyritake" class="mw-redirect" title="Tyritake">Tyritake</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">South<br />coast</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Abonoteichos" title="Abonoteichos">Abonoteichos</a></li> <li><a href="/wiki/Samsun" title="Samsun">Amisos</a></li> <li><a href="/wiki/Pomorie" title="Pomorie">Anchialos</a></li> <li><a href="/wiki/Sozopol" title="Sozopol">Apollonia</a></li> <li><a href="/wiki/Pazar,_Rize" title="Pazar, Rize">Athina</a></li> <li><a href="/wiki/Batumi" title="Batumi">Bathus</a></li> <li><a href="/wiki/Balchik" title="Balchik">Dionysopolis</a></li> <li><a href="/wiki/Ordu" title="Ordu">Cotyora</a></li> <li><a href="/wiki/Cytorus" title="Cytorus">Cytorus</a></li> <li><a href="/wiki/Eupatoria_(Pontus)" title="Eupatoria (Pontus)">Eupatoria</a></li> <li><a href="/wiki/Heraclea_Pontica" title="Heraclea Pontica">Heraclea</a></li> <li><a href="/wiki/Giresun" title="Giresun">Kerasous</a></li> <li><a href="/wiki/Nesebar" title="Nesebar">Mesambria</a></li> <li><a href="/wiki/Varna,_Bulgaria" title="Varna, Bulgaria">Odessos</a></li> <li><a href="/wiki/%C3%9Cnye" title="Ünye">Oinòe</a></li> <li><a href="/wiki/Phasis_(town)" title="Phasis (town)">Phasis</a></li> <li><a href="/wiki/Fatsa" title="Fatsa">Polemonion</a></li> <li><a href="/wiki/Rize" title="Rize">Rhizos</a></li> <li><a href="/wiki/K%C4%B1y%C4%B1k%C3%B6y" title="Kıyıköy">Salmydessus</a></li> <li><a href="/wiki/Amasra" title="Amasra">Sesamus</a></li> <li><a href="/wiki/Sinop,_Turkey" title="Sinop, Turkey">Sinope</a></li> <li><a href="/wiki/Terme" title="Terme">Thèrmae</a></li> <li><a href="/wiki/Tium" title="Tium">Tium</a></li> <li><a href="/wiki/Trabzon" title="Trabzon">Trapezous</a></li> <li><a href="/wiki/Tripolis_(Pontus)" title="Tripolis (Pontus)">Tripolis</a></li> <li><a href="/wiki/Zaliche" title="Zaliche">Zaliche</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr></tbody></table><div></div></td></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks mw-collapsible mw-collapsed navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Lists" style="font-size:114%;margin:0 4em">Lists</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/List_of_ancient_Greek_cities" title="List of ancient Greek cities">Cities</a> <ul><li><a href="/wiki/List_of_cities_in_ancient_Epirus" title="List of cities in ancient Epirus">in Epirus</a></li></ul></li> <li><a href="/wiki/List_of_ancient_Greeks" title="List of ancient Greeks">People</a></li> <li><a href="/wiki/List_of_Greek_place_names" title="List of Greek place names">Place names</a></li> <li><a href="/wiki/List_of_stoae" title="List of stoae">Stoae</a></li> <li><a href="/wiki/List_of_Ancient_Greek_temples" title="List of Ancient Greek temples">Temples</a></li> <li><a href="/wiki/List_of_ancient_Greek_theatres" title="List of ancient Greek theatres">Theatres</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Ancient_Greece" title="Category:Ancient Greece">Category</a></li> <li><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Symbol_portal_class.svg" class="mw-file-description" title="Portal"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/16px-Symbol_portal_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/23px-Symbol_portal_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/e/e2/Symbol_portal_class.svg/31px-Symbol_portal_class.svg.png 2x" data-file-width="180" data-file-height="185" /></a></span> <a href="/wiki/Portal:Ancient_Greece" title="Portal:Ancient Greece">Portal</a></li> <li><span class="noviewer" typeof="mw:File"><span title="Outline"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/10px-Global_thinking.svg.png" decoding="async" width="10" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/15px-Global_thinking.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/41/Global_thinking.svg/21px-Global_thinking.svg.png 2x" data-file-width="130" data-file-height="200" /></span></span> <a href="/wiki/Outline_of_ancient_Greece" title="Outline of ancient Greece">Outline</a></li></ul> </div></td></tr></tbody></table></div> <style data-mw-deduplicate="TemplateStyles:r1130092004">.mw-parser-output .portal-bar{font-size:88%;font-weight:bold;display:flex;justify-content:center;align-items:baseline}.mw-parser-output .portal-bar-bordered{padding:0 2em;background-color:#fdfdfd;border:1px solid #a2a9b1;clear:both;margin:1em auto 0}.mw-parser-output .portal-bar-related{font-size:100%;justify-content:flex-start}.mw-parser-output .portal-bar-unbordered{padding:0 1.7em;margin-left:0}.mw-parser-output .portal-bar-header{margin:0 1em 0 0.5em;flex:0 0 auto;min-height:24px}.mw-parser-output .portal-bar-content{display:flex;flex-flow:row wrap;flex:0 1 auto;padding:0.15em 0;column-gap:1em;align-items:baseline;margin:0;list-style:none}.mw-parser-output .portal-bar-content-related{margin:0;list-style:none}.mw-parser-output .portal-bar-item{display:inline-block;margin:0.15em 0.2em;min-height:24px;line-height:24px}@media screen and (max-width:768px){.mw-parser-output .portal-bar{font-size:88%;font-weight:bold;display:flex;flex-flow:column wrap;align-items:baseline}.mw-parser-output .portal-bar-header{text-align:center;flex:0;padding-left:0.5em;margin:0 auto}.mw-parser-output .portal-bar-related{font-size:100%;align-items:flex-start}.mw-parser-output .portal-bar-content{display:flex;flex-flow:row wrap;align-items:center;flex:0;column-gap:1em;border-top:1px solid #a2a9b1;margin:0 auto;list-style:none}.mw-parser-output .portal-bar-content-related{border-top:none;margin:0;list-style:none}}.mw-parser-output .navbox+link+.portal-bar,.mw-parser-output .navbox+style+.portal-bar,.mw-parser-output .navbox+link+.portal-bar-bordered,.mw-parser-output .navbox+style+.portal-bar-bordered,.mw-parser-output .sister-bar+link+.portal-bar,.mw-parser-output .sister-bar+style+.portal-bar,.mw-parser-output .portal-bar+.navbox-styles+.navbox,.mw-parser-output .portal-bar+.navbox-styles+.sister-bar{margin-top:-1px}</style><div class="portal-bar noprint metadata noviewer portal-bar-bordered" role="navigation" aria-label="Portals"><span class="portal-bar-header"><a href="/wiki/Wikipedia:Contents/Portals" title="Wikipedia:Contents/Portals">Portals</a>:</span><ul class="portal-bar-content"><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/19px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/29px-Nuvola_apps_edu_mathematics_blue-p.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/38px-Nuvola_apps_edu_mathematics_blue-p.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> </span><a href="/wiki/Portal:Mathematics" title="Portal:Mathematics">Mathematics</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/GClef.svg/7px-GClef.svg.png" decoding="async" width="7" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/ff/GClef.svg/10px-GClef.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/ff/GClef.svg/14px-GClef.svg.png 2x" data-file-width="15" data-file-height="41" /></span></span> </span><a href="/wiki/Portal:Music" title="Portal:Music">Music</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Crab_Nebula.jpg/19px-Crab_Nebula.jpg" decoding="async" width="19" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/00/Crab_Nebula.jpg/29px-Crab_Nebula.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/00/Crab_Nebula.jpg/38px-Crab_Nebula.jpg 2x" data-file-width="3864" data-file-height="3864" /></span></span> </span><a href="/wiki/Portal:Astronomy" title="Portal:Astronomy">Astronomy</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/File:He1523a.jpg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/He1523a.jpg/16px-He1523a.jpg" decoding="async" width="16" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5f/He1523a.jpg/25px-He1523a.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5f/He1523a.jpg/33px-He1523a.jpg 2x" data-file-width="180" data-file-height="207" /></a></span> </span><a href="/wiki/Portal:Stars" title="Portal:Stars">Stars</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><a href="/wiki/File:Social_sciences.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Social_sciences.svg/21px-Social_sciences.svg.png" decoding="async" width="21" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/42/Social_sciences.svg/32px-Social_sciences.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/42/Social_sciences.svg/42px-Social_sciences.svg.png 2x" data-file-width="139" data-file-height="122" /></a></span> </span><a href="/wiki/Portal:Society" title="Portal:Society">Society</a></li><li class="portal-bar-item"><span class="nowrap"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/12px-Socrates.png" decoding="async" width="12" height="19" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/19px-Socrates.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/25px-Socrates.png 2x" data-file-width="326" data-file-height="500" /></span></span> </span><a href="/wiki/Portal:Philosophy" title="Portal:Philosophy">Philosophy</a></li></ul></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"><style data-mw-deduplicate="TemplateStyles:r1038841319">.mw-parser-output .tooltip-dotted{border-bottom:1px dotted;cursor:help}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1038841319"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1038841319"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q10261#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q10261#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q10261#identifiers" title="Edit this at Wikidata"><img alt="Edit this at Wikidata" src="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, 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href="https://viaf.org/viaf/102862543">4</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/13151352051052602454">5</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/318159474331827662926">6</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/83073140">7</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/84036666">8</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/498168048974538410002">9</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/264085599">10</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/375157342860710100009">11</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://viaf.org/viaf/250958546">12</a></span></li></ul></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/65615/">FAST</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PCjHHjbyt4tRGGry7PGJRXb">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/118597248">Germany</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Pythagoras"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n80162846">United States</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb11920816v">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb11920816v">BnF data</a></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Pythagoras"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00621326">Japan</a></span></span></li><li><span class="uid"><span class="rt-commentedText tooltip tooltip-dotted" title="Pythagoras <ca. 582 a.C.-496>"><a rel="nofollow" class="external text" href="https://opac.sbn.it/nome/CFIV044215">Italy</a></span></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://nla.gov.au/anbd.aut-an36341093">Australia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=jn20000701459&CON_LNG=ENG">Czech Republic</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://aleph.rsl.ru/F?func=find-b&find_code=SYS&adjacent=Y&local_base=RSL11&request=000046840&CON_LNG=ENG">Russia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&authority_id=XX1160617">Spain</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.bnportugal.gov.pt/aut/catbnp/75384">Portugal</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p06997571X">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://authority.bibsys.no/authority/rest/authorities/html/90195559">Norway</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://aleweb.ncl.edu.tw/F/?func=accref&acc_sequence=012799886&CON_LNG=ENG">Taiwan</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://www.bncatalogo.cl/F?func=direct&local_base=red10&doc_number=000096974">Chile</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.nlg.gr/cgi-bin/koha/opac-authoritiesdetail.pl?authid=28210">Greece</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogo.bn.gov.ar/F/?func=direct&local_base=BNA10&doc_number=000046865">Argentina</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://lod.nl.go.kr/resource/KAC201717306">Korea</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://libris.kb.se/qn246p680d752w2">Sweden</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dbn.bn.org.pl/descriptor-details/9810651425005606">Poland</a></span></li><li><span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=8034&url_prefix=https://opac.vatlib.it/auth/detail/&id=495/17829">Vatican</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007266854105171">Israel</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://cantic.bnc.cat/registre/981058521911006706">Catalonia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://opac.kbr.be/LIBRARY/doc/AUTHORITY/14750653">Belgium</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA01257341?l=en">CiNii</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:pythagoras-of-samos.">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/231659">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Artists</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.getty.edu/vow/ULANFullDisplay?find=&role=&nation=&subjectid=500329588">ULAN</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://musicbrainz.org/artist/37d51ffa-e38a-4c20-8f79-4cb842c94e70">MusicBrainz</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://trove.nla.gov.au/people/1248660">Trove</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-biographie.de/pnd118597248.html?language=en">Deutsche Biographie</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-digitale-bibliothek.de/person/gnd/118597248">DDB</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/027085260">IdRef</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://snaccooperative.org/ark:/99166/w6814vqx">SNAC</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://islamansiklopedisi.org.tr/pisagor">İslâm Ansiklopedisi</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐75c465f4c6‐qscvn Cached time: 20241125142806 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 3.813 seconds Real time usage: 4.401 seconds Preprocessor visited node count: 51437/1000000 Post‐expand include size: 665587/2097152 bytes Template argument size: 65807/2097152 bytes Highest expansion depth: 21/100 Expensive parser function count: 22/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 498771/5000000 bytes Lua time usage: 2.311/10.000 seconds Lua memory usage: 20983021/52428800 bytes Lua Profile: MediaWiki\Extension\Scribunto\Engines\LuaSandbox\LuaSandboxCallback::callParserFunction 780 ms 30.5% ? 460 ms 18.0% recursiveClone <mwInit.lua:45> 280 ms 10.9% 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