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Available in 39 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-39" 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">39 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%87%D9%8A%D8%A8%D9%8A%D8%A7%D8%B3" title="هيبياس – Arabic" lang="ar" hreflang="ar" data-title="هيبياس" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Elidal%C4%B1_Hippi" title="Elidalı Hippi – Azerbaijani" lang="az" hreflang="az" data-title="Elidalı Hippi" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Hipija" title="Hipija – Bosnian" lang="bs" hreflang="bs" data-title="Hipija" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/H%C3%ADpies_d%27Elis" title="Hípies d'Elis – Catalan" lang="ca" hreflang="ca" data-title="Hípies d'Elis" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Hippias_z_Elidy" title="Hippias z Elidy – Czech" lang="cs" hreflang="cs" data-title="Hippias z Elidy" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Hippias_(filosof)" title="Hippias (filosof) – Danish" lang="da" hreflang="da" data-title="Hippias (filosof)" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Hippias_von_Elis" title="Hippias von Elis – German" lang="de" hreflang="de" data-title="Hippias von Elis" 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/Hippias" title="Hippias – Estonian" lang="et" hreflang="et" data-title="Hippias" 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%99%CF%80%CF%80%CE%AF%CE%B1%CF%82_%CE%BF_%CE%97%CE%BB%CE%B5%CE%AF%CE%BF%CF%82" title="Ιππίας ο Ηλείος – Greek" lang="el" hreflang="el" data-title="Ιππίας ο Ηλείος" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Hipias_de_%C3%89lide" title="Hipias de Élide – Spanish" lang="es" hreflang="es" data-title="Hipias de Élide" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Hipias_Elidekoa" title="Hipias Elidekoa – Basque" lang="eu" hreflang="eu" data-title="Hipias Elidekoa" 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%87%DB%8C%D9%BE%DB%8C%D8%A7%D8%B3" title="هیپیاس – Persian" lang="fa" hreflang="fa" data-title="هیپیاس" 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/Hippias_d%27%C3%89lis" title="Hippias d'Élis – French" lang="fr" hreflang="fr" data-title="Hippias d'Élis" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Hipias_de_%C3%89lide" title="Hipias de Élide – Galician" lang="gl" hreflang="gl" data-title="Hipias de Élide" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%9E%88%ED%94%BC%EC%95%84%EC%8A%A4_(%EC%86%8C%ED%94%BC%EC%8A%A4%ED%8A%B8)" title="히피아스 (소피스트) – Korean" lang="ko" hreflang="ko" data-title="히피아스 (소피스트)" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Hipija" title="Hipija – Croatian" lang="hr" hreflang="hr" data-title="Hipija" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Hippias" title="Hippias – Indonesian" lang="id" hreflang="id" data-title="Hippias" 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-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Hipp%C3%ADas" title="Hippías – Icelandic" lang="is" hreflang="is" data-title="Hippías" 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/Ippia_di_Elide" title="Ippia di Elide – Italian" lang="it" hreflang="it" data-title="Ippia di Elide" 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%94%D7%99%D7%A4%D7%99%D7%90%D7%A1" title="היפיאס – Hebrew" lang="he" hreflang="he" data-title="היפיאס" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Hippias" title="Hippias – Latin" lang="la" hreflang="la" data-title="Hippias" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/%C3%89liszi_Hippiasz" title="Éliszi Hippiasz – Hungarian" lang="hu" hreflang="hu" data-title="Éliszi Hippiasz" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%87%D9%8A%D8%A8%D9%8A%D8%A7%D8%B3" title="هيبياس – Egyptian Arabic" lang="arz" hreflang="arz" data-title="هيبياس" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/H%C3%ADpias_de_%C3%89lis" title="Hípias de Élis – Mirandese" lang="mwl" hreflang="mwl" data-title="Hípias de Élis" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Hippias_van_Elis" title="Hippias van Elis – Dutch" lang="nl" hreflang="nl" data-title="Hippias van Elis" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%92%E3%83%83%E3%83%94%E3%82%A2%E3%82%B9_(%E3%82%BD%E3%83%95%E3%82%A3%E3%82%B9%E3%83%88)" title="ヒッピアス (ソフィスト) – Japanese" lang="ja" hreflang="ja" data-title="ヒッピアス (ソフィスト)" 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-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Hippias_fra_Elis" title="Hippias fra Elis – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Hippias fra Elis" 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-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Hippiasz_(sofista)" title="Hippiasz (sofista) – Polish" lang="pl" hreflang="pl" data-title="Hippiasz (sofista)" 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/H%C3%ADpias_de_%C3%89lis" title="Hípias de Élis – Portuguese" lang="pt" hreflang="pt" data-title="Hípias de Élis" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</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%93%D0%B8%D0%BF%D0%BF%D0%B8%D0%B9_%D0%AD%D0%BB%D0%B8%D0%B4%D1%81%D0%BA%D0%B8%D0%B9" title="Гиппий Элидский – Russian" lang="ru" hreflang="ru" data-title="Гиппий Элидский" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Hippias_z_Elidy" title="Hippias z Elidy – Slovak" lang="sk" hreflang="sk" data-title="Hippias z Elidy" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A5%D0%B8%D0%BF%D0%B8%D1%98%D0%B0" title="Хипија – Serbian" lang="sr" hreflang="sr" data-title="Хипија" 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/Hipija" title="Hipija – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Hipija" 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-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Hippias_Elisl%C3%A4inen" title="Hippias Elisläinen – Finnish" lang="fi" hreflang="fi" data-title="Hippias Elisläinen" 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/Hippias_fr%C3%A5n_Elis" title="Hippias från Elis – Swedish" lang="sv" hreflang="sv" data-title="Hippias från Elis" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%87%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%BF%E0%AE%AF%E0%AE%BE%E0%AE%9A%E0%AF%81" title="இப்பியாசு – Tamil" lang="ta" hreflang="ta" data-title="இப்பியாசு" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Hippias" title="Hippias – Turkish" lang="tr" hreflang="tr" data-title="Hippias" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%93%D1%96%D0%BF%D0%BF%D1%96%D0%B9_%D0%95%D0%BB%D1%96%D0%B4%D1%81%D1%8C%D0%BA%D0%B8%D0%B9" title="Гіппій Елідський – Ukrainian" lang="uk" hreflang="uk" data-title="Гіппій Елідський" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%B8%8C%E5%BA%87%E4%BA%9A" title="希庇亚 – Chinese" lang="zh" hreflang="zh" data-title="希庇亚" 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/Q210573#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 id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Hippias" title="View the content page [c]" 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id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">5th century BC Greek sophist</div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">For other uses, see <a href="/wiki/Hippias_(disambiguation)" class="mw-disambig" title="Hippias (disambiguation)">Hippias (disambiguation)</a>.</div> <p><b>Hippias of <a href="/wiki/Elis_(city)" title="Elis (city)">Elis</a></b> (<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="/ˈ/: primary stress follows">ˈ</span><span title="'h' in 'hi'">h</span><span title="/ɪ/: 'i' in 'kit'">ɪ</span><span title="'p' in 'pie'">p</span><span title="/i/: 'y' in 'happy'">i</span><span title="/ə/: 'a' in 'about'">ə</span><span title="'s' in 'sigh'">s</span></span>/</a></span></span>; <a href="/wiki/Greek_language" title="Greek language">Greek</a>: <span lang="el">Ἱππίας ὁ Ἠλεῖος</span>; late 5th century BC) was a <a href="/wiki/Ancient_Greece" title="Ancient Greece">Greek</a> <a href="/wiki/Sophist" title="Sophist">sophist</a>, and a contemporary of <a href="/wiki/Socrates" title="Socrates">Socrates</a>. With an assurance characteristic of the later sophists, he claimed to be regarded as an authority on all subjects, and lectured on <a href="/wiki/Poetry" title="Poetry">poetry</a>, <a href="/wiki/Grammar" title="Grammar">grammar</a>, <a href="/wiki/History" title="History">history</a>, <a href="/wiki/Politics" title="Politics">politics</a>, <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>, and much else.<sup id="cite_ref-FOOTNOTEChisholm1911_1-0" class="reference"><a href="#cite_note-FOOTNOTEChisholm1911-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Most current knowledge of him is derived from <a href="/wiki/Plato" title="Plato">Plato</a>, who characterizes him as vain and arrogant. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Life">Life</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=1" title="Edit section: Life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hippias was born at <a href="/wiki/Elis_(city)" title="Elis (city)">Elis</a> in the mid 5th-century BC (c. 460 BC) and was thus a younger contemporary of <a href="/wiki/Protagoras" title="Protagoras">Protagoras</a> and <a href="/wiki/Socrates" title="Socrates">Socrates</a>. He lived at least as late as Socrates (399 BC). He was a disciple of Hegesidamus.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Owing to his talent and skill, his fellow-citizens availed themselves of his services in political matters, and in a diplomatic mission to <a href="/wiki/Sparta" title="Sparta">Sparta</a>.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> But he was in every respect like the other sophists of the time: he travelled about in various towns and districts of <a href="/wiki/Classical_Greece" title="Classical Greece">Greece</a> for the purpose of teaching and public speaking. The two dialogues of <a href="/wiki/Plato" title="Plato">Plato</a>, the <i><a href="/wiki/Hippias_major" class="mw-redirect" title="Hippias major">Hippias major</a></i> and the <i><a href="/wiki/Hippias_minor" class="mw-redirect" title="Hippias minor">Hippias minor</a></i> characterize him as vain and arrogant. The <i>Hippias major</i> (the authorship of this work by Plato is sometimes doubted) concerns the question about the <a href="/wiki/Beauty" title="Beauty">beautiful</a>, and purposely puts the knowledge and presumption of Hippias in a ludicrous light. The <i>Hippias minor</i> discusses the deficiency of human <a href="/wiki/Knowledge" title="Knowledge">knowledge</a>, and characterizes Hippias as ridiculously vain.<sup id="cite_ref-FOOTNOTEChisholm1911_1-1" class="reference"><a href="#cite_note-FOOTNOTEChisholm1911-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Work">Work</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=2" title="Edit section: Work"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hippias was a man of very extensive knowledge, and he occupied himself not only with <a href="/wiki/Rhetoric" title="Rhetoric">rhetorical</a>, <a href="/wiki/Philosophy" title="Philosophy">philosophical</a>, and <a href="/wiki/Politics" title="Politics">political</a> studies, but was also well versed in <a href="/wiki/Poetry" title="Poetry">poetry</a>, <a href="/wiki/Music" title="Music">music</a>, <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>, <a href="/wiki/Painting" title="Painting">painting</a> and <a href="/wiki/Sculpture" title="Sculpture">sculpture</a>, and he claimed some practical skill in the ordinary arts of life, for he used to boast of wearing on his body nothing that he had not made himself with his own hands, such as his <a href="/wiki/Seal_(emblem)" title="Seal (emblem)">seal-ring</a>, his <a href="/wiki/Cloak" title="Cloak">cloak</a>, and <a href="/wiki/Shoes" class="mw-redirect" title="Shoes">shoes</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> He was credited with a lost work known as the <i>Olympionikō̂n Anagraphḗ</i> (<span title="Ancient Greek (to 1453)-language text"><span lang="grc">Ὀλυμπιονικῶν Ἀναγραφή</span></span>) which computed <a href="/wiki/Coroebus_of_Elis" title="Coroebus of Elis">Coroebus</a>'s victory as occurring in 776 <span class="smallcaps"><span style="font-variant: small-caps; text-transform: lowercase;">BC</span></span> and became the basis of all later lists of the <a href="/wiki/Olympiad" title="Olympiad">Olympiads</a> and their victors.<sup id="cite_ref-olyoly_5-0" class="reference"><a href="#cite_note-olyoly-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> On the other hand, his knowledge always appears superficial, he does not enter into the details of any particular art or science, and is satisfied with certain generalities, which enabled him to speak on everything without a thorough knowledge of any. This arrogance, combined with ignorance, is the main cause which provoked Plato to his severe criticism of Hippias, as the sophist enjoyed a very extensive reputation, and thus had a large influence upon the education of the youths of the higher classes. <a href="/wiki/Plutarch" title="Plutarch">Plutarch</a> also criticized Hippias in <i>The</i> <i>Life of Numa</i> in <i><a href="/wiki/Parallel_Lives" title="Parallel Lives">Parallel Lives</a></i> when writing about the chronology of Numa's relationship with <a href="/wiki/Pythagoras" title="Pythagoras">Pythagoras</a>, mentioning that the chronology was based on the <i>Olympionikō̂n Anagraphḗ</i> and stating that Hippias had no authoritative basis on his work.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> A mathematical discovery ascribed to Hippias is sometimes called the <a href="/wiki/Quadratrix" title="Quadratrix">quadratrix</a> of Hippias. </p><p>His great skill seems to have consisted in delivering grand show speeches; and Plato has him arrogantly declaring that he would travel to <a href="/wiki/Olympia,_Greece" title="Olympia, Greece">Olympia</a>, and there deliver before the assembled Greeks an <a href="/wiki/Oration" class="mw-redirect" title="Oration">oration</a> on any subject that might be proposed to him;<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/Philostratus" title="Philostratus">Philostratus</a> in fact speaks of several such orations delivered at Olympia, and which created great sensation. If such speeches were published by Hippias, then no specimen has come down to us. Plato claims he wrote <a href="/wiki/Epic_poetry" title="Epic poetry">epic poetry</a>, <a href="/wiki/Tragedies" class="mw-redirect" title="Tragedies">tragedies</a>, <a href="/wiki/Dithyramb" title="Dithyramb">dithyrambs</a>, and various orations,<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> as well as works on <a href="/wiki/Grammar" title="Grammar">grammar</a>, <a href="/wiki/Music" title="Music">music</a>, <a href="/wiki/Rhythm" title="Rhythm">rhythm</a>, <a href="/wiki/Harmony" title="Harmony">harmony</a>, and a variety of other subjects.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> He seems to have been especially fond of choosing antiquarian and mythical subjects for his show speeches. <a href="/wiki/Athenaeus" title="Athenaeus">Athenaeus</a> mentions a work of Hippias under the title <i>Synagoge</i> which is otherwise unknown.<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup> An epigram of his is preserved in <a href="/wiki/Pausanias_(geographer)" title="Pausanias (geographer)">Pausanias</a>.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Natural_law">Natural law</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=3" title="Edit section: Natural law"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hippias is credited with originating the idea of natural law. This ideal began at first during the fifth century B.C. According to Hippias, natural law was never to be superseded as it was universal.<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> Hippias saw natural law as a habitual entity that humans take part in without pre-meditation. He regarded the elite in states as indistinguishable from one another and thus they should perceive each other as so. Because of this, he reasons, they should consider and treat each other as a society of a unanimous state. These ideas were passed on through Cynicism and Stoicism, later being the foundation for turning Roman law in legislation.<sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup> Along with natural law, Hippias also wrote about self-sufficiency as a binding principle. He used this principle in his teachings as he gathered knowledge in numerous subjects, so as to be never outwitted or have his reputation questioned.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Cynicism_(philosophy)" title="Cynicism (philosophy)">Cynicism (philosophy)</a></li> <li><a href="/wiki/Natural_Law" class="mw-redirect" title="Natural Law">Natural Law</a></li> <li><a href="/wiki/Quadratrix_of_Hippias" title="Quadratrix of Hippias">Quadratrix of Hippias</a></li> <li><a href="/wiki/Roman_Law" class="mw-redirect" title="Roman Law">Roman Law</a></li> <li><a href="/wiki/Self-sufficiency" class="mw-redirect" title="Self-sufficiency">Self-sufficiency</a></li> <li><a href="/wiki/Stoicism" title="Stoicism">Stoicism</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=5" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></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-columns references-column-width reflist-columns-2"> <ol class="references"> <li id="cite_note-FOOTNOTEChisholm1911-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-FOOTNOTEChisholm1911_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FOOTNOTEChisholm1911_1-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="#CITEREFChisholm1911">Chisholm 1911</a>.</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text">Suda, <i>Hippias</i></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">Plato, <i>Hippias major</i>, 281a, 286a; Philostratus, <i>Vit. Soph.</i> i. 11.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text">Plato, <i>Hippias major</i>, 285c, <i>Hippias minor</i>, 368b, <i>Protagoras</i>, 315c; Philostratus, <i>Vit. Soph.</i> i. 11.; Themistius, <i>Orat.</i> xxix. p. 345. d.</span> </li> <li id="cite_note-olyoly-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-olyoly_5-0">^</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 id="CITEREFChristesen2012" class="citation cs2">Christesen, Paul (2012), <a rel="nofollow" class="external text" href="https://www.degruyter.com/document/doi/10.1515/9783110931419.319/pdf">"Imagining Olympia: Hippias of Elis and the First Olympic Victor List"</a>, <i>A Tall Order: Writing the Social History of the Ancient World</i>, Berlin: B.G. Teubner, pp. 319–356, <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1515%2F9783110931419.319">10.1515/9783110931419.319</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Imagining+Olympia%3A+Hippias+of+Elis+and+the+First+Olympic+Victor+List&rft.btitle=A+Tall+Order%3A+Writing+the+Social+History+of+the+Ancient+World&rft.place=Berlin&rft.pages=319-356&rft.pub=B.G.+Teubner&rft.date=2012&rft_id=info%3Adoi%2F10.1515%2F9783110931419.319&rft.aulast=Christesen&rft.aufirst=Paul&rft_id=https%3A%2F%2Fwww.degruyter.com%2Fdocument%2Fdoi%2F10.1515%2F9783110931419.319%2Fpdf&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span>.</span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://penelope.uchicago.edu/Thayer/E/Roman/Texts/Plutarch/Lives/Numa*.html">"Plutarch • Life of Numa"</a>. <i>penelope.uchicago.edu</i><span class="reference-accessdate">. Retrieved <span class="nowrap">2023-11-25</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=penelope.uchicago.edu&rft.atitle=Plutarch+%E2%80%A2+Life+of+Numa&rft_id=https%3A%2F%2Fpenelope.uchicago.edu%2FThayer%2FE%2FRoman%2FTexts%2FPlutarch%2FLives%2FNuma%2A.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Plat. <i>Hippias minor</i>, 363</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">Plato <i>Hippias minor</i>, 368</span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text">Plato, <i>Hippias major</i>, 285ff; comp. Philostratus, <i>Vit. Soph.</i> i. 11.; Plutarch, <i>Num.</i> 1, 23; Dio Chrysostom, <i>Orat.</i> lxxi.</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text">Athenaeus, xiii. 609</span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text">Pausanias, v. 25</span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFKainz2004" class="citation book cs1">Kainz, Howard P. (2004). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=Rq5hg4d54m4C&pg=PA2"><i>Natural Law: An Introduction and Re-examination</i></a>. Chicago: Open Court. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0812694546" title="Special:BookSources/0812694546"><bdi>0812694546</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Natural+Law%3A+An+Introduction+and+Re-examination&rft.place=Chicago&rft.pub=Open+Court&rft.date=2004&rft.isbn=0812694546&rft.aulast=Kainz&rft.aufirst=Howard+P.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DRq5hg4d54m4C%26pg%3DPA2&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.iep.utm.edu/hippias/">"Internet Encyclopedia of Philosophy"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">17 February</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Internet+Encyclopedia+of+Philosophy&rft_id=http%3A%2F%2Fwww.iep.utm.edu%2Fhippias%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDielsSprague1972" class="citation book cs1">Diels, Hermann; Sprague, Rosamond Kent (1972). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=GlfUVeQHLFUC&q=the+older+sophists+hippias"><i>The Older Sophists: A Complete Translation by Several Hands of the Fragments in Die Fragmente Der Vorsokratiker</i></a>. Columbia: University of South Carolina. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0872205568" title="Special:BookSources/0872205568"><bdi>0872205568</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+Older+Sophists%3A+A+Complete+Translation+by+Several+Hands+of+the+Fragments+in+Die+Fragmente+Der+Vorsokratiker&rft.place=Columbia&rft.pub=University+of+South+Carolina&rft.date=1972&rft.isbn=0872205568&rft.aulast=Diels&rft.aufirst=Hermann&rft.au=Sprague%2C+Rosamond+Kent&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DGlfUVeQHLFUC%26q%3Dthe%2Bolder%2Bsophists%2Bhippias&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=6" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/6/62/PD-icon.svg/12px-PD-icon.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/6/62/PD-icon.svg/18px-PD-icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/6/62/PD-icon.svg/24px-PD-icon.svg.png 2x" data-file-width="196" data-file-height="196" /></span></span> This article incorporates text from a publication now in the <a href="/wiki/Public_domain" title="Public domain">public domain</a>: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFSmith1870" class="citation encyclopaedia cs1"><a href="/wiki/William_Smith_(lexicographer)" title="William Smith (lexicographer)">Smith, William</a>, ed. (1870). "Hippias". <i><a href="/wiki/Dictionary_of_Greek_and_Roman_Biography_and_Mythology" title="Dictionary of Greek and Roman Biography and Mythology">Dictionary of Greek and Roman Biography and Mythology</a></i>. p. 479.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Hippias&rft.btitle=Dictionary+of+Greek+and+Roman+Biography+and+Mythology&rft.pages=479&rft.date=1870&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></li> <li><span class="noprint"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png" decoding="async" width="12" height="13" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/18px-Wikisource-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/24px-Wikisource-logo.svg.png 2x" data-file-width="410" data-file-height="430" /></span></span> </span>This article incorporates text from a publication now in the <a href="/wiki/Public_domain" title="Public domain">public domain</a>: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFChisholm1911" class="citation encyclopaedia cs1"><a href="/wiki/Hugh_Chisholm" title="Hugh Chisholm">Chisholm, Hugh</a>, ed. (1911). "<a href="https://en.wikisource.org/wiki/1911_Encyclop%C3%A6dia_Britannica/Hippias_of_Elis" class="extiw" title="s:1911 Encyclopædia Britannica/Hippias of Elis">Hippias of Elis</a>". <i><a href="/wiki/Encyclop%C3%A6dia_Britannica_Eleventh_Edition" title="Encyclopædia Britannica Eleventh Edition">Encyclopædia Britannica</a></i>. Vol. 13 (11th ed.). Cambridge University Press. p. 517.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Hippias+of+Elis&rft.btitle=Encyclop%C3%A6dia+Britannica&rft.pages=517&rft.edition=11th&rft.pub=Cambridge+University+Press&rft.date=1911&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></li></ul> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Hippias&action=edit&section=7" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFO'ConnorRobertson" class="citation cs2">O'Connor, John J.; <a href="/wiki/Edmund_F._Robertson" title="Edmund F. Robertson">Robertson, Edmund F.</a>, <a rel="nofollow" class="external text" href="https://mathshistory.st-andrews.ac.uk/Biographies/Hippias.html">"Hippias"</a>, <i><a href="/wiki/MacTutor_History_of_Mathematics_Archive" title="MacTutor History of Mathematics Archive">MacTutor History of Mathematics Archive</a></i>, <a href="/wiki/University_of_St_Andrews" title="University of St Andrews">University of St Andrews</a></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Hippias&rft.btitle=MacTutor+History+of+Mathematics+Archive&rft.pub=University+of+St+Andrews&rft.aulast=O%27Connor&rft.aufirst=John+J.&rft.au=Robertson%2C+Edmund+F.&rft_id=https%3A%2F%2Fmathshistory.st-andrews.ac.uk%2FBiographies%2FHippias.html&rfr_id=info%3Asid%2Fen.wikipedia.org%3AHippias" class="Z3988"></span></li> <li><a rel="nofollow" class="external text" href="https://www.maa.org/press/periodicals/convergence/trisecting-an-angle-using-mechanical-means">Hippias' Attempt to Trisect an Angle</a> at Convergence</li></ul> <div class="navbox-styles"><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:": 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.navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Sophists" title="Template:Sophists"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Sophists" title="Template talk:Sophists"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Sophists" title="Special:EditPage/Template:Sophists"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Sophists_of_the_5th_century_BC" style="font-size:114%;margin:0 4em"><a href="/wiki/Sophist" title="Sophist">Sophists</a> of the 5th century BC</div></th></tr><tr><td colspan="2" class="navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Sophistic_works_of_Antiphon" title="Sophistic works of Antiphon">Antiphon</a></li> <li><a href="/wiki/Callicles" title="Callicles">Callicles</a></li> <li><a href="/wiki/Critias" title="Critias">Critias</a></li> <li><a href="/wiki/Damon_of_Athens" title="Damon of Athens">Damon</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/Gorgias" title="Gorgias">Gorgias</a></li> <li><a class="mw-selflink selflink">Hippias</a></li> <li><a href="/wiki/Lycophron_(sophist)" title="Lycophron (sophist)">Lycophron</a></li> <li><a href="/wiki/Prodicus" title="Prodicus">Prodicus</a></li> <li><a href="/wiki/Protagoras" title="Protagoras">Protagoras</a></li> <li><a href="/wiki/Thrasymachus" title="Thrasymachus">Thrasymachus</a></li></ul> </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_Greek_mathematics" style="padding:3px"><table class="nowraplinks 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_Greek_mathematics" title="Template:Ancient Greek mathematics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Ancient_Greek_mathematics" title="Template talk:Ancient Greek mathematics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Ancient_Greek_mathematics" title="Special:EditPage/Template:Ancient Greek mathematics"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Ancient_Greek_mathematics" style="font-size:114%;margin:0 4em"><a href="/wiki/Greek_mathematics" title="Greek mathematics">Ancient Greek mathematics</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_Greek_mathematicians" title="List of Greek mathematicians">Mathematicians</a><br /><a href="/wiki/Timeline_of_ancient_Greek_mathematicians" title="Timeline of ancient Greek mathematicians">(timeline)</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/Anaxagoras" title="Anaxagoras">Anaxagoras</a></li> <li><a href="/wiki/Anthemius_of_Tralles" title="Anthemius of Tralles">Anthemius</a></li> <li><a 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 class="mw-selflink selflink">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 href="/wiki/Pythagoras" title="Pythagoras">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" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/16px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/24px-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/32px-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 portal</a></b></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_Greek_schools_of_philosophy" 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 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href="/wiki/Seven_Sages_of_Greece" title="Seven Sages of Greece">Seven Sages</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/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 href="/wiki/Pythagoras" title="Pythagoras">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 class="mw-selflink selflink">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> 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