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Charles Sanders Peirce - Wikipedia

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vector-toc-level-3"> <a class="vector-toc-link" href="#American_Civil_War"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3.1</span> <span>American Civil War</span> </div> </a> <ul id="toc-American_Civil_War-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Travels_to_Europe" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Travels_to_Europe"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3.2</span> <span>Travels to Europe</span> </div> </a> <ul id="toc-Travels_to_Europe-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Harvard_observatory" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Harvard_observatory"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3.3</span> <span>Harvard observatory</span> </div> </a> <ul id="toc-Harvard_observatory-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-National_Academy_of_Sciences" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#National_Academy_of_Sciences"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3.4</span> <span>National Academy of Sciences</span> </div> </a> <ul id="toc-National_Academy_of_Sciences-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-1880_to_1891" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#1880_to_1891"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.3.5</span> <span>1880 to 1891</span> </div> </a> <ul id="toc-1880_to_1891-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Johns_Hopkins_University" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Johns_Hopkins_University"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.4</span> <span>Johns Hopkins University</span> </div> </a> <ul id="toc-Johns_Hopkins_University-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Personal_life" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Personal_life"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.5</span> <span>Personal life</span> </div> </a> <ul id="toc-Personal_life-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Later_life_and_poverty" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Later_life_and_poverty"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.6</span> <span>Later life and poverty</span> </div> </a> <ul id="toc-Later_life_and_poverty-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Death_and_legacy" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Death_and_legacy"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Death and legacy</span> </div> </a> <ul id="toc-Death_and_legacy-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Works" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Works"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Works</span> </div> </a> <ul id="toc-Works-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mathematics" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Mathematics</span> </div> </a> <button aria-controls="toc-Mathematics-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Mathematics subsection</span> </button> <ul id="toc-Mathematics-sublist" class="vector-toc-list"> <li id="toc-Mathematics_of_logic" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mathematics_of_logic"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.1</span> <span>Mathematics of logic</span> </div> </a> <ul id="toc-Mathematics_of_logic-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Probability_and_statistics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Probability_and_statistics"> <div class="vector-toc-text"> <span class="vector-toc-numb">4.2</span> <span>Probability and statistics</span> </div> </a> <ul id="toc-Probability_and_statistics-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-As_a_philosopher" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#As_a_philosopher"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>As a philosopher</span> </div> </a> <button aria-controls="toc-As_a_philosopher-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle As a philosopher subsection</span> </button> <ul id="toc-As_a_philosopher-sublist" class="vector-toc-list"> <li id="toc-Influence_and_legacy" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Influence_and_legacy"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Influence and legacy</span> </div> </a> <ul id="toc-Influence_and_legacy-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Pragmatism" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Pragmatism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Pragmatism</span> </div> </a> <button aria-controls="toc-Pragmatism-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Pragmatism subsection</span> </button> <ul id="toc-Pragmatism-sublist" class="vector-toc-list"> <li id="toc-Theory_of_inquiry" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Theory_of_inquiry"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1</span> <span>Theory of inquiry</span> </div> </a> <ul id="toc-Theory_of_inquiry-sublist" class="vector-toc-list"> <li id="toc-Critical_common-sensism" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Critical_common-sensism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1.1</span> <span>Critical common-sensism</span> </div> </a> <ul id="toc-Critical_common-sensism-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Rival_methods_of_inquiry" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Rival_methods_of_inquiry"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1.2</span> <span>Rival methods of inquiry</span> </div> </a> <ul id="toc-Rival_methods_of_inquiry-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Scientific_method" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Scientific_method"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1.3</span> <span>Scientific method</span> </div> </a> <ul id="toc-Scientific_method-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Against_Cartesianism" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Against_Cartesianism"> <div class="vector-toc-text"> <span class="vector-toc-numb">6.1.4</span> <span>Against Cartesianism</span> </div> </a> <ul id="toc-Against_Cartesianism-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Theory_of_categories" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Theory_of_categories"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Theory of categories</span> </div> </a> <ul id="toc-Theory_of_categories-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Logic,_or_semiotic" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Logic,_or_semiotic"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>Logic, or semiotic</span> </div> </a> <button aria-controls="toc-Logic,_or_semiotic-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Logic, or semiotic subsection</span> </button> <ul id="toc-Logic,_or_semiotic-sublist" class="vector-toc-list"> <li id="toc-Relational_logic" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Relational_logic"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Relational logic</span> </div> </a> <ul id="toc-Relational_logic-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Quantifiers" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Quantifiers"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Quantifiers</span> </div> </a> <ul id="toc-Quantifiers-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Philosophy_of_logic" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Philosophy_of_logic"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3</span> <span>Philosophy of logic</span> </div> </a> <ul id="toc-Philosophy_of_logic-sublist" class="vector-toc-list"> <li id="toc-Logic_as_philosophical" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Logic_as_philosophical"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3.1</span> <span>Logic as philosophical</span> </div> </a> <ul id="toc-Logic_as_philosophical-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Presuppositions_of_logic" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Presuppositions_of_logic"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3.2</span> <span>Presuppositions of logic</span> </div> </a> <ul id="toc-Presuppositions_of_logic-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Four_incapacities" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Four_incapacities"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3.3</span> <span>Four incapacities</span> </div> </a> <ul id="toc-Four_incapacities-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Logic_as_formal_semiotic" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Logic_as_formal_semiotic"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.3.4</span> <span>Logic as formal semiotic</span> </div> </a> <ul id="toc-Logic_as_formal_semiotic-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Signs" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Signs"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Signs</span> </div> </a> <button aria-controls="toc-Signs-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Signs subsection</span> </button> <ul id="toc-Signs-sublist" class="vector-toc-list"> <li id="toc-Sign_relation" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Sign_relation"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.1</span> <span>Sign relation</span> </div> </a> <ul id="toc-Sign_relation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Semiotic_elements" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Semiotic_elements"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.2</span> <span>Semiotic elements</span> </div> </a> <ul id="toc-Semiotic_elements-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Classes_of_signs" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Classes_of_signs"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.3</span> <span>Classes of signs</span> </div> </a> <ul id="toc-Classes_of_signs-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Modes_of_inference" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Modes_of_inference"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Modes of inference</span> </div> </a> <ul id="toc-Modes_of_inference-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Metaphysics" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Metaphysics"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Metaphysics</span> </div> </a> <button aria-controls="toc-Metaphysics-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle Metaphysics subsection</span> </button> <ul id="toc-Metaphysics-sublist" class="vector-toc-list"> <li id="toc-Ontology" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ontology"> <div class="vector-toc-text"> <span class="vector-toc-numb">11.1</span> <span>Ontology</span> </div> </a> <ul id="toc-Ontology-sublist" class="vector-toc-list"> <li id="toc-Continua" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Continua"> <div class="vector-toc-text"> <span class="vector-toc-numb">11.1.1</span> <span>Continua</span> </div> </a> <ul id="toc-Continua-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Psychical_or_religious_metaphysics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Psychical_or_religious_metaphysics"> <div class="vector-toc-text"> <span class="vector-toc-numb">11.2</span> <span>Psychical or religious metaphysics</span> </div> </a> <ul id="toc-Psychical_or_religious_metaphysics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Physical_metaphysics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Physical_metaphysics"> <div class="vector-toc-text"> <span class="vector-toc-numb">11.3</span> <span>Physical metaphysics</span> </div> </a> <ul id="toc-Physical_metaphysics-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Philosophy_of_science" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Philosophy_of_science"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>Philosophy of science</span> </div> </a> <ul id="toc-Philosophy_of_science-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>See also</span> </div> </a> <button aria-controls="toc-See_also-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Toggle See also subsection</span> </button> <ul id="toc-See_also-sublist" class="vector-toc-list"> <li id="toc-Contemporaries_associated_with_Peirce" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Contemporaries_associated_with_Peirce"> <div class="vector-toc-text"> <span class="vector-toc-numb">13.1</span> <span>Contemporaries associated with Peirce</span> </div> </a> <ul id="toc-Contemporaries_associated_with_Peirce-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">14</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-References" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">15</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">16</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav 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class="firstHeading mw-first-heading"><span class="mw-page-title-main">Charles Sanders Peirce</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Go to an article in another language. Available in 62 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-62" 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">62 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/%D8%AA%D8%B4%D8%A7%D8%B1%D9%84%D8%B2_%D8%B3%D8%A7%D9%86%D8%AF%D8%B1%D8%B2_%D8%A8%D8%B1%D8%B3" title="تشارلز ساندرز برس – Arabic" lang="ar" hreflang="ar" data-title="تشارلز ساندرز برس" 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/%C3%87arlz_Sanders" title="Çarlz Sanders – Azerbaijani" lang="az" hreflang="az" data-title="Çarlz Sanders" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%86%D8%A7%D8%B1%D9%84%D8%B2_%D8%B3%D9%86%D8%AF%D8%B1%D8%B2_%D9%BE%D8%B1%D8%B3" title="چارلز سندرز پرس – South Azerbaijani" lang="azb" hreflang="azb" data-title="چارلز سندرز پرس" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%9A%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%B2%E0%A6%B8_%E0%A6%B8%E0%A7%8D%E0%A6%AF%E0%A6%BE%E0%A6%A8%E0%A7%8D%E0%A6%A1%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%B8_%E0%A6%AA%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%B8" title="চার্লস স্যান্ডার্স পার্স – Bangla" lang="bn" hreflang="bn" data-title="চার্লস স্যান্ডার্স পার্স" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A7%D0%B0%D1%80%D0%BB%D0%B7_%D0%A1%D0%B0%D0%BD%D0%B4%D1%8D%D1%80%D1%81_%D0%9F%D1%96%D1%80%D1%81" title="Чарлз Сандэрс Пірс – Belarusian" lang="be" hreflang="be" data-title="Чарлз Сандэрс Пірс" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B0%D1%80%D0%BB%D1%81_%D0%9F%D1%8A%D1%80%D1%81" title="Чарлс Пърс – Bulgarian" lang="bg" hreflang="bg" data-title="Чарлс Пърс" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Catalan" lang="ca" hreflang="ca" data-title="Charles Sanders Peirce" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Czech" lang="cs" hreflang="cs" data-title="Charles Sanders Peirce" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Welsh" lang="cy" hreflang="cy" data-title="Charles Sanders Peirce" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Danish" lang="da" hreflang="da" data-title="Charles Sanders Peirce" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="good article badge"><a href="https://de.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – German" lang="de" hreflang="de" data-title="Charles Sanders Peirce" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Estonian" lang="et" hreflang="et" data-title="Charles Sanders Peirce" 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%A4%CF%83%CE%B1%CF%81%CE%BB%CF%82_%CE%A3%CE%AC%CE%BD%CF%84%CE%B5%CF%81%CF%82_%CE%A0%CE%B5%CF%81%CF%82" title="Τσαρλς Σάντερς Περς – Greek" lang="el" hreflang="el" data-title="Τσαρλς Σάντερς Περς" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Spanish" lang="es" hreflang="es" data-title="Charles Sanders Peirce" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Esperanto" lang="eo" hreflang="eo" data-title="Charles Sanders Peirce" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Basque" lang="eu" hreflang="eu" data-title="Charles Sanders Peirce" 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/%DA%86%D8%A7%D8%B1%D9%84%D8%B2_%D8%B3%D9%86%D8%AF%D8%B1%D8%B2_%D9%BE%DB%8C%D8%B1%D8%B3" title="چارلز سندرز پیرس – Persian" lang="fa" hreflang="fa" data-title="چارلز سندرز پیرس" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – French" lang="fr" hreflang="fr" data-title="Charles Sanders Peirce" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Irish" lang="ga" hreflang="ga" data-title="Charles Sanders Peirce" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%B0%B0%EC%8A%A4_%EC%83%8C%EB%8D%94%EC%8A%A4_%ED%8D%BC%EC%8A%A4" title="찰스 샌더스 퍼스 – Korean" lang="ko" hreflang="ko" data-title="찰스 샌더스 퍼스" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%89%D5%A1%D6%80%D5%AC%D5%A6_%D5%8D%D5%A1%D5%B6%D5%A4%D5%A5%D6%80%D5%BD_%D5%8A%D5%A5%D6%80%D5%BD" title="Չարլզ Սանդերս Պերս – Armenian" lang="hy" hreflang="hy" data-title="Չարլզ Սանդերս Պերս" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%9A%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%B2%E0%A5%8D%E0%A4%B8_%E0%A4%B8%E0%A5%88%E0%A4%82%E0%A4%A1%E0%A4%B0%E0%A5%8D%E0%A4%B8_%E0%A4%AA%E0%A4%BF%E0%A4%AF%E0%A4%B0%E0%A5%8D%E0%A4%B8" title="चार्ल्स सैंडर्स पियर्स – Hindi" lang="hi" hreflang="hi" data-title="चार्ल्स सैंडर्स पियर्स" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Ido" lang="io" hreflang="io" data-title="Charles Sanders Peirce" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Indonesian" lang="id" hreflang="id" data-title="Charles Sanders Peirce" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Icelandic" lang="is" hreflang="is" data-title="Charles Sanders Peirce" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Italian" lang="it" hreflang="it" data-title="Charles Sanders Peirce" 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%A6%27%D7%90%D7%A8%D7%9C%D7%A1_%D7%A4%D7%A8%D7%A1" title="צ&#039;ארלס פרס – Hebrew" lang="he" hreflang="he" data-title="צ&#039;ארלס פרס" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-jv mw-list-item"><a href="https://jv.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Javanese" lang="jv" hreflang="jv" data-title="Charles Sanders Peirce" data-language-autonym="Jawa" data-language-local-name="Javanese" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A7%D0%B0%D1%80%D0%BB%D1%8C%D0%B7_%D0%A1%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%D1%81_%D0%9F%D0%B8%D1%80%D1%81" title="Чарльз Сандерс Пирс – Kazakh" lang="kk" hreflang="kk" data-title="Чарльз Сандерс Пирс" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Charles_Peirce" title="Charles Peirce – Haitian Creole" lang="ht" hreflang="ht" data-title="Charles Peirce" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9F%D0%B8%D1%80%D1%81,_%D0%A7%D0%B0%D1%80%D0%BB%D1%8C%D0%B7_%D0%A1%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%D1%81" title="Пирс, Чарльз Сандерс – Kyrgyz" lang="ky" hreflang="ky" data-title="Пирс, Чарльз Сандерс" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Carolus_Sanders_Peirce" title="Carolus Sanders Peirce – Latin" lang="la" hreflang="la" data-title="Carolus Sanders Peirce" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/%C4%8C%C4%81rlzs_P%C4%ABrss" title="Čārlzs Pīrss – Latvian" lang="lv" hreflang="lv" data-title="Čārlzs Pīrss" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Lithuanian" lang="lt" hreflang="lt" data-title="Charles Sanders Peirce" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Hungarian" lang="hu" hreflang="hu" data-title="Charles Sanders Peirce" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A7%D0%B0%D1%80%D0%BB%D1%81_%D0%9F%D0%B8%D1%80%D1%81" title="Чарлс Пирс – Macedonian" lang="mk" hreflang="mk" data-title="Чарлс Пирс" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%9A%E0%B4%BE%E0%B5%BE%E0%B4%B8%E0%B5%8D_%E0%B4%B8%E0%B4%BE%E0%B5%BB%E0%B4%A1%E0%B5%87%E0%B4%B4%E0%B5%8D%E0%B4%B8%E0%B5%8D_%E0%B4%AA%E0%B5%86%E0%B4%AF%E0%B5%87%E0%B4%B4%E0%B5%8D%E0%B4%B8%E0%B5%8D" title="ചാൾസ് സാൻഡേഴ്സ് പെയേഴ്സ് – Malayalam" lang="ml" hreflang="ml" data-title="ചാൾസ് സാൻഡേഴ്സ് പെയേഴ്സ്" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B4%D8%A7%D8%B1%D9%84_%D8%B3%D8%A7%D9%86%D8%AF%D8%B1%D8%B2_%D8%A8%D9%8A%D8%B1%D8%B3" title="شارل ساندرز بيرس – Egyptian Arabic" lang="arz" hreflang="arz" data-title="شارل ساندرز بيرس" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Dutch" lang="nl" hreflang="nl" data-title="Charles Sanders Peirce" 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%81%E3%83%A3%E3%83%BC%E3%83%AB%E3%82%BA%E3%83%BB%E3%82%B5%E3%83%B3%E3%83%80%E3%83%BC%E3%82%B9%E3%83%BB%E3%83%91%E3%83%BC%E3%82%B9" title="チャールズ・サンダース・パース – Japanese" lang="ja" hreflang="ja" data-title="チャールズ・サンダース・パース" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Charles_S._Peirce" title="Charles S. Peirce – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Charles S. Peirce" 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-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Uzbek" lang="uz" hreflang="uz" data-title="Charles Sanders Peirce" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%DA%86%D8%A7%D8%B1%D9%84%D8%B3_%D8%B3%D8%A7%D9%86%DA%89%D8%B1%D8%B3_%D9%BE%D9%8A%D8%B1%D8%B3" title="چارلس سانډرس پيرس – Pashto" lang="ps" hreflang="ps" data-title="چارلس سانډرس پيرس" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Piedmontese" lang="pms" hreflang="pms" data-title="Charles Sanders Peirce" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Polish" lang="pl" hreflang="pl" data-title="Charles Sanders Peirce" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Portuguese" lang="pt" hreflang="pt" data-title="Charles Sanders Peirce" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Charles_Peirce" title="Charles Peirce – Romanian" lang="ro" hreflang="ro" data-title="Charles Peirce" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9F%D0%B8%D1%80%D1%81,_%D0%A7%D0%B0%D1%80%D0%BB%D1%8C%D0%B7_%D0%A1%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%D1%81" title="Пирс, Чарльз Сандерс – Russian" lang="ru" hreflang="ru" data-title="Пирс, Чарльз Сандерс" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Scots" lang="sco" 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href="https://sl.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Slovenian" lang="sl" hreflang="sl" data-title="Charles Sanders Peirce" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%86%D8%A7%D8%B1%DA%B5%D8%B2_%D8%B3%DB%95%D9%86%D8%AF%DB%8E%D8%B1%D8%B2_%D9%BE%DB%8E%D8%B1%D8%B3" title="چارڵز سەندێرز پێرس – Central Kurdish" lang="ckb" hreflang="ckb" data-title="چارڵز سەندێرز پێرس" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A7%D0%B0%D1%80%D0%BB%D1%81_%D0%A1%D0%B0%D0%BD%D0%B4%D0%B5%D1%80%D1%81_%D0%9F%D0%B5%D1%80%D1%81" title="Чарлс Сандерс Перс – Serbian" lang="sr" hreflang="sr" 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Peirce – Finnish" lang="fi" hreflang="fi" data-title="Charles S. Peirce" 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/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Swedish" lang="sv" hreflang="sv" data-title="Charles Sanders Peirce" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Charles_Sanders_Peirce" title="Charles Sanders Peirce – Turkish" lang="tr" hreflang="tr" data-title="Charles Sanders Peirce" 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 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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">American thinker who founded pragmatism (1839–1914)</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn">Charles Sanders Peirce</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:Charles_Sanders_Peirce.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Charles_Sanders_Peirce.jpg/220px-Charles_Sanders_Peirce.jpg" decoding="async" width="220" height="295" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Charles_Sanders_Peirce.jpg/330px-Charles_Sanders_Peirce.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/5/58/Charles_Sanders_Peirce.jpg 2x" data-file-width="434" data-file-height="582" /></a></span><div class="infobox-caption">Peirce in 1891</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><span style="display:none">(<span class="bday">1839-09-10</span>)</span>September 10, 1839<br /><div style="display:inline" class="birthplace"><a href="/wiki/Cambridge,_Massachusetts" title="Cambridge, Massachusetts">Cambridge</a>, Massachusetts, U.S.</div></td></tr><tr><th scope="row" class="infobox-label">Died</th><td class="infobox-data">April 19, 1914<span style="display:none">(1914-04-19)</span> (aged&#160;74)<br /><div style="display:inline" class="deathplace"><a href="/wiki/Milford,_Pennsylvania" title="Milford, Pennsylvania">Milford</a>, Pennsylvania, U.S.</div></td></tr><tr><th scope="row" class="infobox-label">Alma&#160;mater</th><td class="infobox-data"><a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a></td></tr><tr><th scope="row" class="infobox-label">Relatives</th><td class="infobox-data"><a href="/wiki/Benjamin_Peirce" title="Benjamin Peirce">Benjamin Peirce</a> (father)</td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"></td></tr><tr><th scope="row" class="infobox-label">Era</th><td class="infobox-data category"><a href="/wiki/Late_modern_philosophy" class="mw-redirect" title="Late modern philosophy">Late modern philosophy</a></td></tr><tr><th scope="row" class="infobox-label">Region</th><td class="infobox-data category"><a href="/wiki/Western_philosophy" title="Western philosophy">Western philosophy</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/List_of_schools_of_philosophy" class="mw-redirect" title="List of schools of philosophy">School</a></th><td class="infobox-data category"><a href="/wiki/Pragmatism" title="Pragmatism">Pragmatism</a><br /><a href="/wiki/Pragmaticism" title="Pragmaticism">Pragmaticism</a></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data org"><a href="/wiki/Johns_Hopkins_University" title="Johns Hopkins University">Johns Hopkins University</a></td></tr><tr><th scope="row" class="infobox-label">Notable students</th><td class="infobox-data"><div class="collapsible-list mw-collapsible mw-collapsed" style="text-align: left;"> <div style="line-height: 1.6em; font-weight: bold;"><div>List</div></div> <ul class="mw-collapsible-content" style="margin-top: 0; margin-bottom: 0; line-height: inherit; list-style: none; margin-left: 0;"><li style="line-height: inherit; margin: 0"> <style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist 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dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"><ul><li><a href="/wiki/John_Dewey" title="John Dewey">John Dewey</a></li><li><a href="/wiki/Fabian_Franklin" title="Fabian Franklin">Fabian Franklin</a><sup id="cite_ref-grads_7-0" class="reference"><a href="#cite_note-grads-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup></li><li><a href="/wiki/Benjamin_Ives_Gilman" title="Benjamin Ives Gilman">Benjamin Ives Gilman</a></li><li><a href="/wiki/Joseph_Jastrow" title="Joseph Jastrow">Joseph Jastrow</a></li><li><a href="/wiki/Christine_Ladd-Franklin" title="Christine Ladd-Franklin">Christine Ladd</a></li><li><a href="/wiki/Allan_Marquand" title="Allan Marquand">Allan Marquand</a></li><li><a href="/wiki/Josiah_Royce" title="Josiah Royce">Josiah Royce</a></li><li><a href="/wiki/Thorstein_Veblen" title="Thorstein Veblen">Thorstein Veblen</a><sup id="cite_ref-grads_7-1" class="reference"><a href="#cite_note-grads-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup></li></ul></div> </li></ul> </div></td></tr><tr><th scope="row" class="infobox-label"><div style="display: inline-block; line-height: 1.2em; padding: .1em 0;">Main interests</div></th><td class="infobox-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><div class="hlist"><ul><li><a href="/wiki/Logic" title="Logic">Logic</a></li><li>mathematics</li><li>statistics<sup id="cite_ref-Hacking_1-0" class="reference"><a href="#cite_note-Hacking-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Stigler78_2-0" class="reference"><a href="#cite_note-Stigler78-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup></li><li>philosophy</li><li><a href="/wiki/Metrology" title="Metrology">metrology</a><sup id="cite_ref-metr_3-0" class="reference"><a href="#cite_note-metr-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup></li><li><a href="/wiki/Chemistry" title="Chemistry">chemistry</a></li><li><a href="/wiki/Experimental_psychology" title="Experimental psychology">experimental psychology</a><sup id="cite_ref-psych_4-0" class="reference"><a href="#cite_note-psych-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup></li><li>economics<sup id="cite_ref-econom_5-0" class="reference"><a href="#cite_note-econom-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup></li><li><a href="/wiki/Linguistics" title="Linguistics">linguistics</a><sup id="cite_ref-ling_6-0" class="reference"><a href="#cite_note-ling-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup></li><li><a href="/wiki/History_of_science" title="History of science">history of science</a></li><li><a href="/wiki/Philosophical_logic" title="Philosophical logic">Philosophical logic</a></li><li><a href="/wiki/Metaphysics" title="Metaphysics">metaphysics</a></li><li><a href="/wiki/Epistemology" title="Epistemology">epistemology</a></li></ul></div></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th colspan="2" class="infobox-header">Signature</th></tr><tr><td colspan="2" class="infobox-full-data"><span class="infobox-signature skin-invert" typeof="mw:File"><a href="/wiki/File:Signature_of_Charles_Sanders_Peirce_(1839%E2%80%931914).png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3d/Signature_of_Charles_Sanders_Peirce_%281839%E2%80%931914%29.png/150px-Signature_of_Charles_Sanders_Peirce_%281839%E2%80%931914%29.png" decoding="async" width="150" height="42" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/3/3d/Signature_of_Charles_Sanders_Peirce_%281839%E2%80%931914%29.png 1.5x" data-file-width="198" data-file-height="56" /></a></span></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1246091330">.mw-parser-output .sidebar{width:22em;float:right;clear:right;margin:0.5em 0 1em 1em;background:var(--background-color-neutral-subtle,#f8f9fa);border:1px solid var(--border-color-base,#a2a9b1);padding:0.2em;text-align:center;line-height:1.4em;font-size:88%;border-collapse:collapse;display:table}body.skin-minerva .mw-parser-output .sidebar{display:table!important;float:right!important;margin:0.5em 0 1em 1em!important}.mw-parser-output .sidebar-subgroup{width:100%;margin:0;border-spacing:0}.mw-parser-output .sidebar-left{float:left;clear:left;margin:0.5em 1em 1em 0}.mw-parser-output .sidebar-none{float:none;clear:both;margin:0.5em 1em 1em 0}.mw-parser-output .sidebar-outer-title{padding:0 0.4em 0.2em;font-size:125%;line-height:1.2em;font-weight:bold}.mw-parser-output .sidebar-top-image{padding:0.4em}.mw-parser-output .sidebar-top-caption,.mw-parser-output .sidebar-pretitle-with-top-image,.mw-parser-output .sidebar-caption{padding:0.2em 0.4em 0;line-height:1.2em}.mw-parser-output .sidebar-pretitle{padding:0.4em 0.4em 0;line-height:1.2em}.mw-parser-output .sidebar-title,.mw-parser-output .sidebar-title-with-pretitle{padding:0.2em 0.8em;font-size:145%;line-height:1.2em}.mw-parser-output .sidebar-title-with-pretitle{padding:0.1em 0.4em}.mw-parser-output .sidebar-image{padding:0.2em 0.4em 0.4em}.mw-parser-output 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screen{html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-night .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-list-title,html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle{background:transparent!important}html.skin-theme-clientpref-os .mw-parser-output .sidebar:not(.notheme) .sidebar-title-with-pretitle a{color:var(--color-progressive)!important}}@media print{body.ns-0 .mw-parser-output .sidebar{display:none!important}}</style><table class="sidebar sidebar-collapse nomobile nowraplinks hlist"><tbody><tr><td class="sidebar-pretitle">Part of <a href="/wiki/Category:Charles_Sanders_Peirce" title="Category:Charles Sanders Peirce">a series</a> on</td></tr><tr><th class="sidebar-title-with-pretitle"><a class="mw-selflink selflink">Charles Sanders Peirce</a></th></tr><tr><td class="sidebar-image"><span typeof="mw:File"><a href="/wiki/File:Charles_Sanders_Peirce.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Charles_Sanders_Peirce.jpg/250px-Charles_Sanders_Peirce.jpg" decoding="async" width="250" height="335" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/58/Charles_Sanders_Peirce.jpg/375px-Charles_Sanders_Peirce.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/5/58/Charles_Sanders_Peirce.jpg 2x" data-file-width="434" data-file-height="582" /></a></span></td></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Charles_Sanders_Peirce_bibliography" title="Charles Sanders Peirce bibliography">Bibliography</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/Pragmatism" title="Pragmatism">Pragmatism</a> in epistemology</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Abductive_reasoning" title="Abductive reasoning">Abductive reasoning</a></li> <li><a href="/wiki/Fallibilism" title="Fallibilism">Fallibilism</a></li> <li><a href="/wiki/Pragmaticism" title="Pragmaticism">Pragmaticism</a> <ul><li><a href="/wiki/Pragmatic_maxim" title="Pragmatic maxim">as maxim</a></li> <li><a href="/wiki/Pragmatic_theory_of_truth" title="Pragmatic theory of truth">as theory of truth</a></li></ul></li> <li><a href="/wiki/Community_of_inquiry" title="Community of inquiry">Community of inquiry</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Logic</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Continuous_predicate" title="Continuous predicate">Continuous predicate</a></li> <li><a href="/wiki/Peirce%27s_law" title="Peirce&#39;s law">Peirce's law</a></li> <li><a href="/wiki/Entitative_graph" class="mw-redirect" title="Entitative graph">Entitative graph in Qualitative logic</a></li> <li><a href="/wiki/Existential_graph" title="Existential graph">Existential graph</a></li> <li><a href="/wiki/Functional_completeness" title="Functional completeness">Functional completeness</a></li> <li><a href="/wiki/Logic_gate" title="Logic gate">Logic gate</a></li> <li><a href="/wiki/Logic_of_information" title="Logic of information">Logic of information</a></li> <li><a href="/wiki/Logical_graph" class="mw-redirect" title="Logical graph">Logical graph</a></li> <li><a href="/wiki/Logical_NOR" title="Logical NOR">Logical NOR</a></li> <li><a href="/wiki/Second-order_logic" title="Second-order logic">Second-order logic</a></li> <li><a href="/wiki/Trikonic" title="Trikonic">Trikonic</a></li> <li><a href="/wiki/Type-token_distinction" class="mw-redirect" title="Type-token distinction">Type-token distinction</a></li></ul></td> </tr><tr><th class="sidebar-heading"> <a href="/wiki/Semiotic_theory_of_Charles_Sanders_Peirce" title="Semiotic theory of Charles Sanders Peirce">Semiotic theory</a></th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Indexicality" title="Indexicality">Indexicality</a></li> <li><a href="/wiki/Interpretant" title="Interpretant">Interpretant</a></li> <li><a href="/wiki/Semiosis" title="Semiosis">Semiosis</a></li> <li><a href="/wiki/Sign_relation" title="Sign relation">Sign relation</a></li> <li><a href="/wiki/Universal_rhetoric" title="Universal rhetoric">Universal rhetoric</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Miscellaneous contributions</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Agapism" title="Agapism">Agapism</a></li> <li><a href="/wiki/Bell_triangle" title="Bell triangle">Bell triangle</a></li> <li><a href="/wiki/Categories_(Peirce)" title="Categories (Peirce)">Categories</a></li> <li><i><a href="/wiki/Phaneron" title="Phaneron">Phaneron</a></i></li> <li><a href="/wiki/Synechism" title="Synechism">Synechism</a></li> <li><a href="/wiki/Tychism" title="Tychism">Tychism</a></li> <li><a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">Classification of sciences</a></li> <li><a href="/wiki/Listing_number" title="Listing number">Listing number</a></li> <li><a href="/wiki/Peirce_quincuncial_projection" title="Peirce quincuncial projection">Quincuncial projection</a></li></ul></td> </tr><tr><th class="sidebar-heading"> Biographical</th></tr><tr><td class="sidebar-content"> <ul><li><a href="/wiki/Joseph_Morton_Ransdell" title="Joseph Morton Ransdell">Joseph Morton Ransdell</a></li> <li><a href="/wiki/Allan_Marquand" title="Allan Marquand">Allan Marquand</a></li> <li><a href="/wiki/Juliette_Peirce" title="Juliette Peirce">Juliette Peirce</a></li> <li><a href="/wiki/Charles_Santiago_Sanders_Peirce" title="Charles Santiago Sanders Peirce">Charles Santiago Sanders Peirce</a></li> <li><a href="/wiki/Roberta_Kevelson" title="Roberta Kevelson">Roberta Kevelson</a></li> <li><a href="/wiki/Christine_Ladd-Franklin" title="Christine Ladd-Franklin">Christine Ladd-Franklin</a></li> <li><a href="/wiki/Victoria,_Lady_Welby" title="Victoria, Lady Welby">Victoria, Lady Welby</a></li> <li><a href="/wiki/The_Metaphysical_Club" title="The Metaphysical Club">The Metaphysical Club</a> <ul><li><a href="/wiki/The_Metaphysical_Club:_A_Story_of_Ideas_in_America" title="The Metaphysical Club: A Story of Ideas in America">book</a></li></ul></li> <li><i><a href="/wiki/Peirce_Geodetic_Monument" title="Peirce Geodetic Monument">Peirce Geodetic Monument</a></i></li></ul></td> </tr><tr><td class="sidebar-navbar"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output 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.navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:C._S._Peirce_articles" title="Template:C. S. Peirce articles"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:C._S._Peirce_articles" title="Template talk:C. S. Peirce articles"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:C._S._Peirce_articles" title="Special:EditPage/Template:C. S. Peirce articles"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>Charles Sanders Peirce</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="&#39;p&#39; in &#39;pie&#39;">p</span><span title="/ɜːr/: &#39;ur&#39; in &#39;fur&#39;">ɜːr</span><span title="&#39;s&#39; in &#39;sigh&#39;">s</span></span>/</a></span></span><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Help:Pronunciation_respelling_key" title="Help:Pronunciation respelling key"><i title="English pronunciation respelling"><span style="font-size:90%">PURSS</span></i></a>; September 10, 1839 – April 19, 1914) was an American scientist, mathematician, <a href="/wiki/Logic" title="Logic">logician</a>, and philosopher who is sometimes known as "the father of <a href="/wiki/Pragmatism" title="Pragmatism">pragmatism</a>".<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup> According to philosopher <a href="/wiki/Paul_Weiss_(philosopher)" title="Paul Weiss (philosopher)">Paul Weiss</a>, Peirce was "the most original and versatile of America's philosophers and America's greatest logician".<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a> wrote "he was one of the most original minds of the later nineteenth century and certainly the greatest American thinker ever". </p><p>Educated as a chemist and employed as a scientist for thirty years, Peirce meanwhile made major contributions to logic, such as theories of <a href="/wiki/Algebraic_logic" title="Algebraic logic">relations</a> and <a href="/wiki/Quantifier_(logic)" title="Quantifier (logic)">quantification</a>. <a href="/wiki/Clarence_Irving_Lewis" class="mw-redirect" title="Clarence Irving Lewis">C. I. Lewis</a> wrote, "The contributions of C. S. Peirce to symbolic logic are more numerous and varied than those of any other writer—at least in the nineteenth century." For Peirce, logic also encompassed much of what is now called <a href="/wiki/Epistemology" title="Epistemology">epistemology</a> and the <a href="/wiki/Philosophy_of_science" title="Philosophy of science">philosophy of science</a>. He saw logic as the formal branch of <a href="/wiki/Semiotics" title="Semiotics">semiotics</a> or study of <a href="/wiki/Sign_(semiotics)" title="Sign (semiotics)">signs</a>, of which he is a founder, which foreshadowed the debate among <a href="/wiki/Logical_positivists" class="mw-redirect" title="Logical positivists">logical positivists</a> and proponents of <a href="/wiki/Philosophy_of_language" title="Philosophy of language">philosophy of language</a> that dominated 20th-century Western philosophy. Peirce's study of signs also included a <a href="/wiki/Categories_(Peirce)" title="Categories (Peirce)">tripartite theory of predication</a>. </p><p>Additionally, he defined the concept of <a href="/wiki/Abductive_reasoning" title="Abductive reasoning">abductive reasoning</a>, as well as rigorously formulating <a href="/wiki/Mathematical_induction" title="Mathematical induction">mathematical induction</a> and <a href="/wiki/Deductive_reasoning" title="Deductive reasoning">deductive reasoning</a>. He was one of the <a href="/wiki/Founders_of_statistics" title="Founders of statistics">founders of statistics</a>. As early as 1886, he saw that <a href="/wiki/Logic_gate" title="Logic gate">logical operations could be carried out by electrical switching circuits</a>. The same idea was used decades later to produce digital computers.<sup id="cite_ref-P2M_13-0" class="reference"><a href="#cite_note-P2M-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> </p><p>In <a href="/wiki/Metaphysics" title="Metaphysics">metaphysics</a>, Peirce was an "<a href="/wiki/Objective_idealism" title="Objective idealism">objective idealist</a>" in the tradition of German philosopher <a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Immanuel Kant</a> as well as a <a href="/wiki/Scotistic_realism" title="Scotistic realism">scholastic realist</a> about universals. He also held a commitment to the ideas of continuity and chance as real features of the universe, views he labeled <a href="/wiki/Synechism" title="Synechism">synechism</a> and <a href="/wiki/Tychism" title="Tychism">tychism</a> respectively. Peirce believed an epistemic <a href="/wiki/Fallibilism" title="Fallibilism">fallibilism</a> and anti-<a href="/wiki/Skepticism" title="Skepticism">skepticism</a> went along with these views. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Biography">Biography</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=1" title="Edit section: Biography"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Early_life">Early life</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=2" title="Edit section: Early life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Charles_Sanders_Peirce%27s_birthplace_building.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Charles_Sanders_Peirce%27s_birthplace_building.jpg/280px-Charles_Sanders_Peirce%27s_birthplace_building.jpg" decoding="async" width="280" height="203" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Charles_Sanders_Peirce%27s_birthplace_building.jpg/420px-Charles_Sanders_Peirce%27s_birthplace_building.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Charles_Sanders_Peirce%27s_birthplace_building.jpg/560px-Charles_Sanders_Peirce%27s_birthplace_building.jpg 2x" data-file-width="3264" data-file-height="2361" /></a><figcaption>Peirce's birthplace. Now part of <a href="/wiki/Lesley_University" title="Lesley University">Lesley University</a>'s Graduate School of Arts and Social Sciences.</figcaption></figure> <p>Peirce was born at 3 Phillips Place in <a href="/wiki/Cambridge,_Massachusetts" title="Cambridge, Massachusetts">Cambridge, Massachusetts</a>. He was the son of Sarah Hunt Mills and <a href="/wiki/Benjamin_Peirce" title="Benjamin Peirce">Benjamin Peirce</a>, himself a professor of mathematics and <a href="/wiki/Astronomy" title="Astronomy">astronomy</a> at <a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a>.<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">&#91;</span>a<span class="cite-bracket">&#93;</span></a></sup> At age&#160;12, Charles read his older brother's copy of <a href="/wiki/Richard_Whately" title="Richard Whately">Richard Whately</a>'s <i>Elements of Logic</i>, then the leading English-language text on the subject. So began his lifelong fascination with logic and reasoning.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> </p><p>He suffered from his late teens onward from a nervous condition then known as "facial neuralgia", which would today be diagnosed as <a href="/wiki/Trigeminal_neuralgia" title="Trigeminal neuralgia">trigeminal neuralgia</a>. His biographer, Joseph Brent, says that when in the throes of its pain "he was, at first, almost stupefied, and then aloof, cold, depressed, extremely suspicious, impatient of the slightest crossing, and subject to violent outbursts of temper".<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup> Its consequences may have led to the social isolation of his later life. </p> <div class="mw-heading mw-heading3"><h3 id="Education">Education</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=3" title="Edit section: Education"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce went on to earn a Bachelor of Arts degree and a Master of Arts degree (1862) from Harvard. In 1863 the <a href="/wiki/Lawrence_Scientific_School" class="mw-redirect" title="Lawrence Scientific School">Lawrence Scientific School</a> awarded him a Bachelor of Science degree, Harvard's first <i>summa cum laude</i> <a href="/wiki/Chemistry" title="Chemistry">chemistry</a> degree.<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>16<span class="cite-bracket">&#93;</span></a></sup> His academic record was otherwise undistinguished.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">&#91;</span>17<span class="cite-bracket">&#93;</span></a></sup> At Harvard, he began lifelong friendships with <a href="/wiki/Francis_Ellingwood_Abbot" title="Francis Ellingwood Abbot">Francis Ellingwood Abbot</a>, <a href="/wiki/Chauncey_Wright" title="Chauncey Wright">Chauncey Wright</a>, and <a href="/wiki/William_James" title="William James">William James</a>.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">&#91;</span>18<span class="cite-bracket">&#93;</span></a></sup> One of his Harvard instructors, <a href="/wiki/Charles_William_Eliot" title="Charles William Eliot">Charles William Eliot</a>, formed an unfavorable opinion of Peirce. This proved fateful, because Eliot, while President of Harvard (1869–1909—a period encompassing nearly all of Peirce's working life), repeatedly vetoed Peirce's employment at the university.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">&#91;</span>19<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="United_States_Coast_Survey">United States Coast Survey</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=4" title="Edit section: United States Coast Survey"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Charles_Sanders_Peirce_in_1859.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Charles_Sanders_Peirce_in_1859.jpg/160px-Charles_Sanders_Peirce_in_1859.jpg" decoding="async" width="160" height="172" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Charles_Sanders_Peirce_in_1859.jpg/240px-Charles_Sanders_Peirce_in_1859.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8d/Charles_Sanders_Peirce_in_1859.jpg/320px-Charles_Sanders_Peirce_in_1859.jpg 2x" data-file-width="910" data-file-height="980" /></a><figcaption>Peirce in 1859</figcaption></figure> <p>Between 1859 and 1891, Peirce was intermittently employed in various scientific capacities by the United States Coast Survey, which in 1878 was renamed the <a href="/wiki/United_States_Coast_and_Geodetic_Survey" title="United States Coast and Geodetic Survey">United States Coast and Geodetic Survey</a>,<sup id="cite_ref-Burch_21-0" class="reference"><a href="#cite_note-Burch-21"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> where he enjoyed his highly influential father's protection until the latter's death in 1880.<sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">&#91;</span>21<span class="cite-bracket">&#93;</span></a></sup> At the Survey, he worked mainly in <a href="/wiki/Geodesy" title="Geodesy">geodesy</a> and <a href="/wiki/Gravimetry" title="Gravimetry">gravimetry</a>, refining the use of <a href="/wiki/Pendulum" title="Pendulum">pendulums</a> to determine small local variations in the Earth's <a href="/wiki/Gravity" title="Gravity">gravity</a>.<sup id="cite_ref-Burch_21-1" class="reference"><a href="#cite_note-Burch-21"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="American_Civil_War">American Civil War</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=5" title="Edit section: American Civil War"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>This employment exempted Peirce from having to take part in the <a href="/wiki/American_Civil_War" title="American Civil War">American Civil War</a>; it would have been very awkward for him to do so, as the <a href="/wiki/Boston_Brahmin" title="Boston Brahmin">Boston Brahmin</a> Peirces sympathized with the <a href="/wiki/Confederate_States_of_America" title="Confederate States of America">Confederacy</a>.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">&#91;</span>22<span class="cite-bracket">&#93;</span></a></sup> No members of the Peirce family volunteered or enlisted. Peirce grew up in a home where white supremacy was taken for granted, and slavery was considered natural.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">&#91;</span>23<span class="cite-bracket">&#93;</span></a></sup> Peirce's father had described himself as a <a href="/wiki/Secession_in_the_United_States" title="Secession in the United States">secessionist</a> until the outbreak of the war, after which he became a <a href="/wiki/Union_(American_Civil_War)" title="Union (American Civil War)">Union</a> partisan, providing donations to the <a href="/wiki/United_States_Sanitary_Commission" title="United States Sanitary Commission">Sanitary Commission</a>, the leading Northern war charity. </p><p> Peirce liked to use the following <a href="/wiki/Syllogism" title="Syllogism">syllogism</a> to illustrate the unreliability of <a href="/wiki/Term_logic" title="Term logic">traditional</a> forms of logic (for the first premise arguably <a href="/wiki/Begging_the_question" title="Begging the question">assumes the conclusion</a>):<sup id="cite_ref-Menand1_25-0" class="reference"><a href="#cite_note-Menand1-25"><span class="cite-bracket">&#91;</span>24<span class="cite-bracket">&#93;</span></a></sup></p><div class="poem"> <p>All Men are equal in their political rights.<br /> Negroes are Men.<br /> Therefore, negroes are equal in political rights to whites. </p> </div> <div class="mw-heading mw-heading4"><h4 id="Travels_to_Europe">Travels to Europe</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=6" title="Edit section: Travels to Europe"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>He was elected a resident fellow of the <a href="/wiki/American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a> in January 1867.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">&#91;</span>25<span class="cite-bracket">&#93;</span></a></sup> The Survey sent him to Europe five times,<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">&#91;</span>26<span class="cite-bracket">&#93;</span></a></sup> first in 1871 as part of a group sent to observe a <a href="/wiki/Solar_eclipse" title="Solar eclipse">solar eclipse</a>. There, he sought out <a href="/wiki/Augustus_De_Morgan" title="Augustus De Morgan">Augustus De Morgan</a>, <a href="/wiki/William_Stanley_Jevons" title="William Stanley Jevons">William Stanley Jevons</a>, and <a href="/wiki/William_Kingdon_Clifford" title="William Kingdon Clifford">William Kingdon Clifford</a>,<sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">&#91;</span>27<span class="cite-bracket">&#93;</span></a></sup> British mathematicians and logicians whose turn of mind resembled his own. </p> <div class="mw-heading mw-heading4"><h4 id="Harvard_observatory">Harvard observatory</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=7" title="Edit section: Harvard observatory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>From 1869 to 1872, he was employed as an assistant in Harvard's astronomical observatory, doing important work on determining the brightness of <a href="/wiki/Star" title="Star">stars</a> and the shape of the <a href="/wiki/Milky_Way" title="Milky Way">Milky Way</a>.<sup id="cite_ref-SP2_29-0" class="reference"><a href="#cite_note-SP2-29"><span class="cite-bracket">&#91;</span>28<span class="cite-bracket">&#93;</span></a></sup> In 1872 he founded the <a href="/wiki/The_Metaphysical_Club" title="The Metaphysical Club">Metaphysical Club</a>, a conversational philosophical club that Peirce, the future <a href="/wiki/Supreme_Court_Justice" class="mw-redirect" title="Supreme Court Justice">Supreme Court Justice</a> <a href="/wiki/Oliver_Wendell_Holmes_Jr." title="Oliver Wendell Holmes Jr.">Oliver Wendell Holmes Jr.</a>, the philosopher and psychologist <a href="/wiki/William_James" title="William James">William James</a>, amongst others, formed in January 1872 in <a href="/wiki/Cambridge,_Massachusetts" title="Cambridge, Massachusetts">Cambridge, Massachusetts</a>, and dissolved in December 1872. Other members of the club included <a href="/wiki/Chauncey_Wright" title="Chauncey Wright">Chauncey Wright</a>, <a href="/wiki/John_Fiske_(philosopher)" title="John Fiske (philosopher)">John Fiske</a>, <a href="/wiki/Francis_Ellingwood_Abbot" title="Francis Ellingwood Abbot">Francis Ellingwood Abbot</a>, <a href="/wiki/Nicholas_St._John_Green" title="Nicholas St. John Green">Nicholas St. John Green</a>, and <a href="/w/index.php?title=Joseph_Bangs_Warner&amp;action=edit&amp;redlink=1" class="new" title="Joseph Bangs Warner (page does not exist)">Joseph Bangs Warner</a>.<sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">&#91;</span>29<span class="cite-bracket">&#93;</span></a></sup> The discussions eventually birthed Peirce's notion of pragmatism. </p> <div class="mw-heading mw-heading4"><h4 id="National_Academy_of_Sciences">National Academy of Sciences</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=8" title="Edit section: National Academy of Sciences"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Peirce_Quincuncial_Projection_1879.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Peirce_Quincuncial_Projection_1879.jpg/300px-Peirce_Quincuncial_Projection_1879.jpg" decoding="async" width="300" height="306" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Peirce_Quincuncial_Projection_1879.jpg/450px-Peirce_Quincuncial_Projection_1879.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Peirce_Quincuncial_Projection_1879.jpg/600px-Peirce_Quincuncial_Projection_1879.jpg 2x" data-file-width="3799" data-file-height="3877" /></a><figcaption>"The World on a <a href="/wiki/Peirce_quincuncial_projection" title="Peirce quincuncial projection">Quincuncial Projection</a>", 1879.<sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">&#91;</span>30<span class="cite-bracket">&#93;</span></a></sup> Peirce's projection of a sphere onto a square <a href="/wiki/Conformal_map" title="Conformal map">keeps angles true</a> except at four isolated points on the equator, and has less scale variation than the <a href="/wiki/Mercator_projection" title="Mercator projection">Mercator projection</a>. It can be <a href="/wiki/Tessellation" title="Tessellation">tessellated</a>; that is, multiple copies can be joined continuously edge-to-edge.</figcaption></figure> <p>On April 20, 1877, he was elected a member of the <a href="/wiki/National_Academy_of_Sciences" title="National Academy of Sciences">National Academy of Sciences</a>.<sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">&#91;</span>31<span class="cite-bracket">&#93;</span></a></sup> Also in 1877, he proposed measuring the meter as so many <a href="/wiki/Wavelength" title="Wavelength">wavelengths</a> of light of a certain <a href="/wiki/Frequency" title="Frequency">frequency</a>,<sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">&#91;</span>32<span class="cite-bracket">&#93;</span></a></sup> the kind of definition employed <a href="/wiki/Metre#Wavelength_definition" title="Metre">from 1960 to 1983</a>. </p><p>In 1879 Peirce developed <a href="/wiki/Peirce_quincuncial_projection" title="Peirce quincuncial projection">Peirce quincuncial projection</a>, having been inspired by <a href="/wiki/Hermann_Schwarz" title="Hermann Schwarz">H. A. Schwarz</a>'s 1869 <a href="/wiki/Schwarz%E2%80%93Christoffel_mapping" title="Schwarz–Christoffel mapping">conformal transformation of a circle onto a polygon of <i>n</i> sides</a> (known as the Schwarz–Christoffel mapping). </p> <div class="mw-heading mw-heading4"><h4 id="1880_to_1891">1880 to 1891</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=9" title="Edit section: 1880 to 1891"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>During the 1880s, Peirce's indifference to bureaucratic detail waxed while his Survey work's quality and timeliness waned. Peirce took years to write reports that he should have completed in months.<sup class="noprint Inline-Template" style="margin-left:0.1em; white-space:nowrap;">&#91;<i><a href="/wiki/Wikipedia:Manual_of_Style/Words_to_watch#Unsupported_attributions" title="Wikipedia:Manual of Style/Words to watch"><span title="The material near this tag may use weasel words or too-vague attribution. (March 2013)">according to whom?</span></a></i>&#93;</sup> Meanwhile, he wrote entries, ultimately thousands, during 1883–1909 on philosophy, logic, science, and other subjects for the encyclopedic <i><a href="/wiki/Century_Dictionary" title="Century Dictionary">Century Dictionary</a></i>.<sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">&#91;</span>33<span class="cite-bracket">&#93;</span></a></sup> In 1885, an investigation by the <a href="/wiki/William_B._Allison" title="William B. Allison">Allison</a> Commission exonerated Peirce, but led to the dismissal of Superintendent <a href="/wiki/Julius_Hilgard" class="mw-redirect" title="Julius Hilgard">Julius Hilgard</a> and several other Coast Survey employees for misuse of public funds.<sup id="cite_ref-35" class="reference"><a href="#cite_note-35"><span class="cite-bracket">&#91;</span>34<span class="cite-bracket">&#93;</span></a></sup> In 1891, Peirce resigned from the Coast Survey at Superintendent <a href="/wiki/Thomas_Corwin_Mendenhall" title="Thomas Corwin Mendenhall">Thomas Corwin Mendenhall</a>'s request.<sup id="cite_ref-36" class="reference"><a href="#cite_note-36"><span class="cite-bracket">&#91;</span>35<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Johns_Hopkins_University">Johns Hopkins University</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=10" title="Edit section: Johns Hopkins University"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 1879, Peirce was appointed lecturer in logic at <a href="/wiki/Johns_Hopkins_University" title="Johns Hopkins University">Johns Hopkins University</a>, which had strong departments in areas that interested him, such as philosophy (<a href="/wiki/Josiah_Royce" title="Josiah Royce">Royce</a> and <a href="/wiki/John_Dewey" title="John Dewey">Dewey</a> completed their PhDs at Hopkins), psychology (taught by <a href="/wiki/G._Stanley_Hall" title="G. Stanley Hall">G. Stanley Hall</a> and studied by <a href="/wiki/Joseph_Jastrow" title="Joseph Jastrow">Joseph Jastrow</a>, who coauthored a landmark empirical study with Peirce), and mathematics (taught by <a href="/wiki/J._J._Sylvester" class="mw-redirect" title="J. J. Sylvester">J.&#160;J. Sylvester</a>, who came to admire Peirce's work on mathematics and logic). His <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#SIL" title="Charles Sanders Peirce bibliography">Studies in Logic by Members of the Johns Hopkins University</a></i> (1883) contained works by himself and <a href="/wiki/Allan_Marquand" title="Allan Marquand">Allan Marquand</a>, <a href="/wiki/Christine_Ladd-Franklin" title="Christine Ladd-Franklin">Christine Ladd</a>, <a href="/wiki/Benjamin_Ives_Gilman" title="Benjamin Ives Gilman">Benjamin Ives Gilman</a>, and Oscar Howard Mitchell,<sup id="cite_ref-dipert_37-0" class="reference"><a href="#cite_note-dipert-37"><span class="cite-bracket">&#91;</span>36<span class="cite-bracket">&#93;</span></a></sup> several of whom were his graduate students.<sup id="cite_ref-grads_7-2" class="reference"><a href="#cite_note-grads-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> Peirce's nontenured position at Hopkins was the only academic appointment he ever held. </p><p>Brent documents something Peirce never suspected, namely that his efforts to obtain academic employment, grants, and scientific respectability were repeatedly frustrated by the covert opposition of a major Canadian-American scientist of the day, <a href="/wiki/Simon_Newcomb" title="Simon Newcomb">Simon Newcomb</a>.<sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">&#91;</span>37<span class="cite-bracket">&#93;</span></a></sup> Newcomb had been a favourite student of Peirce's father; although "no doubt quite bright", "like <a href="/wiki/Antonio_Salieri" title="Antonio Salieri">Salieri</a> in <a href="/wiki/Amadeus_(play)" title="Amadeus (play)">Peter Shaffer's Amadeus</a> he also had just enough talent to recognize he was not a genius and just enough pettiness to resent someone who was". Additionally "an intensely devout and literal-minded Christian of rigid moral standards", he was appalled by what he considered Peirce's personal shortcomings.<sup id="cite_ref-39" class="reference"><a href="#cite_note-39"><span class="cite-bracket">&#91;</span>38<span class="cite-bracket">&#93;</span></a></sup> Peirce's efforts may also have been hampered by what Brent characterizes as "his difficult personality".<sup id="cite_ref-40" class="reference"><a href="#cite_note-40"><span class="cite-bracket">&#91;</span>39<span class="cite-bracket">&#93;</span></a></sup> In contrast, <a href="/wiki/Keith_Devlin" title="Keith Devlin">Keith Devlin</a> believes that Peirce's work was too far ahead of his time to be appreciated by the academic establishment of the day and that this played a large role in his inability to obtain a tenured position.<sup id="cite_ref-devlin_2000_41-0" class="reference"><a href="#cite_note-devlin_2000-41"><span class="cite-bracket">&#91;</span>40<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Personal_life">Personal life</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=11" title="Edit section: Personal life"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:JulietteAndCharles.JPG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/d/d4/JulietteAndCharles.JPG" decoding="async" width="216" height="215" class="mw-file-element" data-file-width="216" data-file-height="215" /></a><figcaption>Juliette and Charles by a well at their home Arisbe in 1907</figcaption></figure> <p>Peirce's personal life undoubtedly worked against his professional success. After his first wife, <a href="/wiki/Melusina_Fay_Peirce" title="Melusina Fay Peirce">Harriet Melusina Fay</a> ("Zina"), left him in 1875,<sup id="cite_ref-42" class="reference"><a href="#cite_note-42"><span class="cite-bracket">&#91;</span>41<span class="cite-bracket">&#93;</span></a></sup> Peirce, while still legally married, became involved with <a href="/wiki/Juliette_Peirce" title="Juliette Peirce">Juliette</a>, whose last name, given variously as Froissy and Pourtalai,<sup id="cite_ref-43" class="reference"><a href="#cite_note-43"><span class="cite-bracket">&#91;</span>42<span class="cite-bracket">&#93;</span></a></sup> and nationality (she spoke French)<sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">&#91;</span>43<span class="cite-bracket">&#93;</span></a></sup> remains uncertain.<sup id="cite_ref-45" class="reference"><a href="#cite_note-45"><span class="cite-bracket">&#91;</span>44<span class="cite-bracket">&#93;</span></a></sup> When his divorce from Zina became final in 1883, he married Juliette.<sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">&#91;</span>45<span class="cite-bracket">&#93;</span></a></sup> That year, Newcomb pointed out to a Johns Hopkins trustee that Peirce, while a Hopkins employee, had lived and traveled with a woman to whom he was not married; the ensuing scandal led to his dismissal in January 1884.<sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">&#91;</span>46<span class="cite-bracket">&#93;</span></a></sup> Over the years Peirce sought academic employment at various universities without success.<sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">&#91;</span>47<span class="cite-bracket">&#93;</span></a></sup> He had no children by either marriage.<sup id="cite_ref-49" class="reference"><a href="#cite_note-49"><span class="cite-bracket">&#91;</span>48<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Later_life_and_poverty">Later life and poverty</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=12" title="Edit section: Later life and poverty"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Charles_S._Peirce_house_PA1.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Charles_S._Peirce_house_PA1.jpg/220px-Charles_S._Peirce_house_PA1.jpg" decoding="async" width="220" height="159" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Charles_S._Peirce_house_PA1.jpg/330px-Charles_S._Peirce_house_PA1.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a0/Charles_S._Peirce_house_PA1.jpg/440px-Charles_S._Peirce_house_PA1.jpg 2x" data-file-width="5472" data-file-height="3966" /></a><figcaption>Arisbe in 2011</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg/220px-Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg" decoding="async" width="220" height="293" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg/330px-Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9a/Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg/440px-Gravestone_Charles_Sanders_Peirce_and_Juliette_Peirce.jpg 2x" data-file-width="975" data-file-height="1300" /></a><figcaption>Charles and Juliette Peirce's grave</figcaption></figure> <p>In 1887, Peirce spent part of his inheritance from his parents to buy 2,000 acres (8&#160;km<sup>2</sup>) of rural land near <a href="/wiki/Milford,_Pennsylvania" title="Milford, Pennsylvania">Milford, Pennsylvania</a>, which never yielded an economic return.<sup id="cite_ref-50" class="reference"><a href="#cite_note-50"><span class="cite-bracket">&#91;</span>49<span class="cite-bracket">&#93;</span></a></sup> There he had an 1854 farmhouse remodeled to his design.<sup id="cite_ref-51" class="reference"><a href="#cite_note-51"><span class="cite-bracket">&#91;</span>50<span class="cite-bracket">&#93;</span></a></sup> The Peirces named the property "<a href="/wiki/Juliette_Peirce#Arisbe" title="Juliette Peirce">Arisbe</a>". There they lived with few interruptions for the rest of their lives,<sup id="cite_ref-52" class="reference"><a href="#cite_note-52"><span class="cite-bracket">&#91;</span>51<span class="cite-bracket">&#93;</span></a></sup> Charles writing prolifically, with much of his work remaining unpublished to this day (see <a href="#Works">Works</a>). Living beyond their means soon led to grave financial and legal difficulties.<sup id="cite_ref-53" class="reference"><a href="#cite_note-53"><span class="cite-bracket">&#91;</span>52<span class="cite-bracket">&#93;</span></a></sup> Charles spent much of his last two decades unable to afford heat in winter and subsisting on old bread donated by the local baker. Unable to afford new stationery, he wrote on the <a href="/wiki/Verso" class="mw-redirect" title="Verso">verso</a> side of old manuscripts. An outstanding warrant for assault and unpaid debts led to his being a fugitive in New York City for a while.<sup id="cite_ref-54" class="reference"><a href="#cite_note-54"><span class="cite-bracket">&#91;</span>53<span class="cite-bracket">&#93;</span></a></sup> Several people, including his brother <a href="/wiki/James_Mills_Peirce" title="James Mills Peirce">James Mills Peirce</a><sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">&#91;</span>54<span class="cite-bracket">&#93;</span></a></sup> and his neighbors, relatives of <a href="/wiki/Gifford_Pinchot" title="Gifford Pinchot">Gifford Pinchot</a>, settled his debts and paid his property taxes and mortgage.<sup id="cite_ref-56" class="reference"><a href="#cite_note-56"><span class="cite-bracket">&#91;</span>55<span class="cite-bracket">&#93;</span></a></sup> </p><p>Peirce did some scientific and engineering consulting and wrote much for meager pay, mainly encyclopedic dictionary entries, and reviews for <i><a href="/wiki/The_Nation_(U.S._periodical)" class="mw-redirect" title="The Nation (U.S. periodical)">The Nation</a></i> (with whose editor, <a href="/wiki/Wendell_Phillips_Garrison" title="Wendell Phillips Garrison">Wendell Phillips Garrison</a>, he became friendly). He did translations for the <a href="/wiki/Smithsonian_Institution" title="Smithsonian Institution">Smithsonian Institution</a>, at its director <a href="/wiki/Samuel_Langley" title="Samuel Langley">Samuel Langley</a>'s instigation. Peirce also did substantial mathematical calculations for Langley's research on powered flight. Hoping to make money, Peirce tried inventing.<sup id="cite_ref-57" class="reference"><a href="#cite_note-57"><span class="cite-bracket">&#91;</span>56<span class="cite-bracket">&#93;</span></a></sup> He began but did not complete several books.<sup id="cite_ref-58" class="reference"><a href="#cite_note-58"><span class="cite-bracket">&#91;</span>57<span class="cite-bracket">&#93;</span></a></sup> In 1888, President <a href="/wiki/Grover_Cleveland" title="Grover Cleveland">Grover Cleveland</a> appointed him to the <a href="/wiki/Assay_Commission" class="mw-redirect" title="Assay Commission">Assay Commission</a>.<sup id="cite_ref-59" class="reference"><a href="#cite_note-59"><span class="cite-bracket">&#91;</span>58<span class="cite-bracket">&#93;</span></a></sup> </p><p>From 1890 on, he had a friend and admirer in Judge Francis C. Russell of Chicago,<sup id="cite_ref-60" class="reference"><a href="#cite_note-60"><span class="cite-bracket">&#91;</span>59<span class="cite-bracket">&#93;</span></a></sup> who introduced Peirce to editor <a href="/wiki/Paul_Carus" title="Paul Carus">Paul Carus</a> and owner <a href="/wiki/Edward_C._Hegeler" title="Edward C. Hegeler">Edward C. Hegeler</a> of the pioneering American philosophy journal <i><a href="/wiki/The_Monist" title="The Monist">The Monist</a></i>, which eventually published at least 14 articles by Peirce.<sup id="cite_ref-61" class="reference"><a href="#cite_note-61"><span class="cite-bracket">&#91;</span>60<span class="cite-bracket">&#93;</span></a></sup> He wrote many texts in <a href="/wiki/James_Mark_Baldwin" title="James Mark Baldwin">James Mark Baldwin</a>'s <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#Peirce&#39;s_definitions_in_the_Baldwin" title="Charles Sanders Peirce bibliography">Dictionary of Philosophy and Psychology</a></i> (1901–1905); half of those credited to him appear to have been written actually by <a href="/wiki/Christine_Ladd-Franklin" title="Christine Ladd-Franklin">Christine Ladd-Franklin</a> under his supervision.<sup id="cite_ref-62" class="reference"><a href="#cite_note-62"><span class="cite-bracket">&#91;</span>61<span class="cite-bracket">&#93;</span></a></sup> He applied in 1902 to the newly formed <a href="/wiki/Carnegie_Institution" class="mw-redirect" title="Carnegie Institution">Carnegie Institution</a> for a grant to write a systematic book describing his life's work. The application was doomed; his nemesis, Newcomb, served on the Carnegie Institution executive committee, and its president had been president of Johns Hopkins at the time of Peirce's dismissal.<sup id="cite_ref-63" class="reference"><a href="#cite_note-63"><span class="cite-bracket">&#91;</span>62<span class="cite-bracket">&#93;</span></a></sup> </p><p>The one who did the most to help Peirce in these desperate times was his old friend <a href="/wiki/William_James" title="William James">William James</a>, dedicating his <i>Will to Believe</i> (1897) to Peirce, and arranging for Peirce to be paid to give two series of lectures at or near Harvard (1898 and 1903).<sup id="cite_ref-64" class="reference"><a href="#cite_note-64"><span class="cite-bracket">&#91;</span>63<span class="cite-bracket">&#93;</span></a></sup> Most important, each year from 1907 until James's death in 1910, James wrote to his friends in the Boston intelligentsia to request financial aid for Peirce; the fund continued even after James died. Peirce reciprocated by designating James's eldest son as his heir should Juliette predecease him.<sup id="cite_ref-65" class="reference"><a href="#cite_note-65"><span class="cite-bracket">&#91;</span>64<span class="cite-bracket">&#93;</span></a></sup> It has been believed that this was also why Peirce used "Santiago" ("St. James" in English) as a middle name, but he appeared in print as early as 1890 as Charles Santiago Peirce. (See <a href="/wiki/Charles_Santiago_Sanders_Peirce" title="Charles Santiago Sanders Peirce">Charles Santiago Sanders Peirce</a> for discussion and references). </p> <div class="mw-heading mw-heading2"><h2 id="Death_and_legacy">Death and legacy</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=13" title="Edit section: Death and legacy"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce died destitute in <a href="/wiki/Milford,_Pennsylvania" title="Milford, Pennsylvania">Milford, Pennsylvania</a>, twenty years before his widow. Juliette Peirce kept the urn with Peirce's ashes at Arisbe. In 1934, Pennsylvania Governor <a href="/wiki/Gifford_Pinchot" title="Gifford Pinchot">Gifford Pinchot</a> arranged for Juliette's burial in Milford Cemetery. The urn with Peirce's ashes was interred with Juliette.<sup id="cite_ref-66" class="reference"><a href="#cite_note-66"><span class="cite-bracket">&#91;</span>65<span class="cite-bracket">&#93;</span></a></sup> </p><p><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a> (1959) wrote "Beyond doubt [...] he was one of the most original minds of the later nineteenth century and certainly the greatest American thinker ever".<sup id="cite_ref-67" class="reference"><a href="#cite_note-67"><span class="cite-bracket">&#91;</span>66<span class="cite-bracket">&#93;</span></a></sup> Russell and <a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Whitehead</a>'s <i><a href="/wiki/Principia_Mathematica" title="Principia Mathematica">Principia Mathematica</a></i>, published from 1910 to 1913, does not mention Peirce (Peirce's work was not widely known until later).<sup id="cite_ref-Anellis_68-0" class="reference"><a href="#cite_note-Anellis-68"><span class="cite-bracket">&#91;</span>67<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/A._N._Whitehead" class="mw-redirect" title="A. N. Whitehead">A. N. Whitehead</a>, while reading some of Peirce's unpublished manuscripts soon after arriving at Harvard in 1924, was struck by how Peirce had anticipated his own "process" thinking. (On Peirce and <a href="/wiki/Process_metaphysics" class="mw-redirect" title="Process metaphysics">process metaphysics</a>, see Lowe 1964.<sup id="cite_ref-SP2_29-1" class="reference"><a href="#cite_note-SP2-29"><span class="cite-bracket">&#91;</span>28<span class="cite-bracket">&#93;</span></a></sup>) <a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a> viewed Peirce as "one of the greatest philosophers of all times".<sup id="cite_ref-69" class="reference"><a href="#cite_note-69"><span class="cite-bracket">&#91;</span>68<span class="cite-bracket">&#93;</span></a></sup> Yet Peirce's achievements were not immediately recognized. His imposing contemporaries <a href="/wiki/William_James" title="William James">William James</a> and <a href="/wiki/Josiah_Royce" title="Josiah Royce">Josiah Royce</a><sup id="cite_ref-70" class="reference"><a href="#cite_note-70"><span class="cite-bracket">&#91;</span>69<span class="cite-bracket">&#93;</span></a></sup> admired him and <a href="/wiki/Cassius_Jackson_Keyser" title="Cassius Jackson Keyser">Cassius Jackson Keyser</a>, at Columbia and <a href="/wiki/C._K._Ogden" class="mw-redirect" title="C. K. Ogden">C. K. Ogden</a>, wrote about Peirce with respect but to no immediate effect. </p><p>The first scholar to give Peirce his considered professional attention was Royce's student <a href="/wiki/Morris_Raphael_Cohen" title="Morris Raphael Cohen">Morris Raphael Cohen</a>, the editor of an anthology of Peirce's writings entitled <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#CLL" title="Charles Sanders Peirce bibliography">Chance, Love, and Logic</a></i> (1923), and the author of the first bibliography of Peirce's scattered writings.<sup id="cite_ref-71" class="reference"><a href="#cite_note-71"><span class="cite-bracket">&#91;</span>70<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/John_Dewey" title="John Dewey">John Dewey</a> studied under Peirce at Johns Hopkins.<sup id="cite_ref-grads_7-3" class="reference"><a href="#cite_note-grads-7"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup> From 1916 onward, Dewey's writings repeatedly mention Peirce with deference. His 1938 <i>Logic: The Theory of Inquiry</i> is much influenced by Peirce.<sup id="cite_ref-72" class="reference"><a href="#cite_note-72"><span class="cite-bracket">&#91;</span>71<span class="cite-bracket">&#93;</span></a></sup> The publication of the first six volumes of <i>Collected Papers</i> (1931–1935) was the most important event to date in Peirce studies and one that Cohen made possible by raising the needed funds;<sup id="cite_ref-73" class="reference"><a href="#cite_note-73"><span class="cite-bracket">&#91;</span>72<span class="cite-bracket">&#93;</span></a></sup> however it did not prompt an outpouring of secondary studies. The editors of those volumes, <a href="/wiki/Charles_Hartshorne" title="Charles Hartshorne">Charles Hartshorne</a> and <a href="/wiki/Paul_Weiss_(philosopher)" title="Paul Weiss (philosopher)">Paul Weiss</a>, did not become Peirce specialists. Early landmarks of the secondary literature include the monographs by Buchler (1939), <a href="/wiki/James_Feibleman" title="James Feibleman">Feibleman</a> (1946), and <a href="/wiki/T._A._Goudge" title="T. A. Goudge">Goudge</a> (1950), the 1941 PhD thesis by <a href="/wiki/Arthur_W._Burks" class="mw-redirect" title="Arthur W. Burks">Arthur W. Burks</a> (who went on to edit volumes 7 and 8), and the studies edited by Wiener and Young (1952). The <a href="/wiki/Charles_S._Peirce_Society" title="Charles S. Peirce Society">Charles S. Peirce Society</a> was founded in 1946. Its <i>Transactions</i>, an academic quarterly specializing in Peirce's pragmatism and American philosophy has appeared since 1965.<sup id="cite_ref-74" class="reference"><a href="#cite_note-74"><span class="cite-bracket">&#91;</span>73<span class="cite-bracket">&#93;</span></a></sup> (See Phillips 2014, 62 for discussion of Peirce and Dewey relative to <a href="/wiki/Transactionalism" title="Transactionalism">transactionalism</a>.) </p><p>By 1943 such was Peirce's reputation, in the US at least, that <i>Webster's Biographical Dictionary</i> said that Peirce was "now regarded as the most original thinker and greatest logician of his time".<sup id="cite_ref-75" class="reference"><a href="#cite_note-75"><span class="cite-bracket">&#91;</span>74<span class="cite-bracket">&#93;</span></a></sup> </p><p>In 1949, while doing unrelated archival work, the historian of mathematics <a href="/wiki/Carolyn_Eisele" title="Carolyn Eisele">Carolyn Eisele</a> (1902–2000) chanced on an autograph letter by Peirce. So began her forty years of research on Peirce, “the mathematician and scientist,” culminating in Eisele (1976, 1979, 1985). Beginning around 1960, the philosopher and <a href="/wiki/History_of_ideas" class="mw-redirect" title="History of ideas">historian of ideas</a> <a href="/w/index.php?title=Max_Fisch&amp;action=edit&amp;redlink=1" class="new" title="Max Fisch (page does not exist)">Max Fisch</a> (1900–1995) emerged as an authority on Peirce (Fisch, 1986).<sup id="cite_ref-Fisch_76-0" class="reference"><a href="#cite_note-Fisch-76"><span class="cite-bracket">&#91;</span>75<span class="cite-bracket">&#93;</span></a></sup> He includes many of his relevant articles in a survey (Fisch 1986: 422–448) of the impact of Peirce's thought through 1983. </p><p>Peirce has gained an international following, marked by university research centers devoted to Peirce studies and <a href="/wiki/Pragmatism" title="Pragmatism">pragmatism</a> in Brazil (<a href="#CIEP">CeneP/CIEP</a> and <a href="#CEP">Centro de Estudos de Pragmatismo</a>), Finland (<a href="#HPRC">HPRC</a> and <a href="#CDPT">Commens</a>), Germany (<a href="#IRGAI">Wirth's group</a>, <a href="#RGSEME">Hoffman's and Otte's group</a>, and Deuser's and Härle's group<sup id="cite_ref-77" class="reference"><a href="#cite_note-77"><span class="cite-bracket">&#91;</span>76<span class="cite-bracket">&#93;</span></a></sup>), France (<a href="#LIRSCE">L'I.R.S.C.E.</a>), Spain (<a href="#GEP">GEP</a>), and Italy (<a href="#CSPI">CSP</a>). His writings have been translated into several languages, including German, French, Finnish, Spanish, and Swedish. Since 1950, there have been French, Italian, Spanish, British, and Brazilian Peirce scholars of note. For many years, the North American philosophy department most devoted to Peirce was the <a href="/wiki/University_of_Toronto" title="University of Toronto">University of Toronto</a>, thanks in part to the leadership of <a href="/wiki/T._A._Goudge" title="T. A. Goudge">Thomas Goudge</a> and David Savan. In recent years, U.S. Peirce scholars have clustered at <a href="/wiki/IUPUI" class="mw-redirect" title="IUPUI">Indiana University – Purdue University Indianapolis</a>, home of the <a href="#PEP">Peirce Edition Project</a> (PEP) –, and <a href="/wiki/Pennsylvania_State_University" title="Pennsylvania State University">Pennsylvania State University</a>. </p> <style data-mw-deduplicate="TemplateStyles:r1244412712">.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 32px}.mw-parser-output .templatequotecite{line-height:1.5em;text-align:left;margin-top:0}@media(min-width:500px){.mw-parser-output .templatequotecite{padding-left:1.6em}}</style><blockquote class="templatequote"><p>Currently, considerable interest is being taken in Peirce's ideas by researchers wholly outside the arena of academic philosophy. The interest comes from industry, business, technology, intelligence organizations, and the military; and it has resulted in the existence of a substantial number of agencies, institutes, businesses, and laboratories in which ongoing research into and development of Peircean concepts are being vigorously undertaken.</p><div class="templatequotecite">—&#8202;<cite>Robert Burch, 2001, updated 2010<sup id="cite_ref-Burch_21-2" class="reference"><a href="#cite_note-Burch-21"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup></cite></div></blockquote> <p>In recent years, Peirce's <a href="https://en.wiktionary.org/wiki/trichotomy" class="extiw" title="wikt:trichotomy">trichotomy</a> of signs is exploited by a growing number of practitioners for marketing and design tasks. </p><p><a href="/wiki/John_Deely" title="John Deely">John Deely</a> writes that Peirce was the last of the "moderns" and "first of the postmoderns". He lauds Peirce's doctrine of signs as a contribution to the dawn of the <a href="/wiki/Postmodern" class="mw-redirect" title="Postmodern">Postmodern</a> epoch. Deely additionally comments that "Peirce stands...in a position analogous to the position occupied by <a href="/wiki/Augustine_of_Hippo" title="Augustine of Hippo">Augustine</a> as last of the Western <a href="/wiki/Church_Fathers" title="Church Fathers">Fathers</a> and first of the medievals".<sup id="cite_ref-78" class="reference"><a href="#cite_note-78"><span class="cite-bracket">&#91;</span>77<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Works">Works</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=14" title="Edit section: Works"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></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">See also: <a href="/wiki/Charles_Sanders_Peirce_bibliography" title="Charles Sanders Peirce bibliography">Charles Sanders Peirce bibliography</a></div> <p>Peirce's reputation rests largely on academic papers published in American scientific and scholarly journals such as <i>Proceedings of the <a href="/wiki/American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a></i>, the <i>Journal of Speculative Philosophy</i>, <i><a href="/wiki/The_Monist" title="The Monist">The Monist</a></i>, <i><a href="/wiki/Popular_Science" title="Popular Science">Popular Science</a> Monthly</i>, the <i><a href="/wiki/American_Journal_of_Mathematics" title="American Journal of Mathematics">American Journal of Mathematics</a></i>, <i>Memoirs of the <a href="/wiki/United_States_National_Academy_of_Sciences" class="mw-redirect" title="United States National Academy of Sciences">National Academy of Sciences</a></i>, <i><a href="/wiki/The_Nation_(U.S._periodical)" class="mw-redirect" title="The Nation (U.S. periodical)">The Nation</a></i>, and others. See <a href="/wiki/Charles_Sanders_Peirce_bibliography#Articles_by_Peirce,_published_in_his_lifetime" title="Charles Sanders Peirce bibliography">Articles by Peirce, published in his lifetime</a> for an extensive list with links to them online. The only full-length book (neither extract nor pamphlet) that Peirce authored and saw published in his lifetime<sup id="cite_ref-79" class="reference"><a href="#cite_note-79"><span class="cite-bracket">&#91;</span>78<span class="cite-bracket">&#93;</span></a></sup> was <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#PR" title="Charles Sanders Peirce bibliography">Photometric Researches</a></i> (1878), a 181-page monograph on the applications of spectrographic methods to astronomy. While at Johns Hopkins, he edited <i><a href="#SIL">Studies in Logic</a></i> (1883), containing chapters by himself and his <a href="#GS">graduate students</a>. Besides lectures during his years (1879–1884) as lecturer in Logic at Johns Hopkins, he gave at least nine series of lectures, many now published; see <a href="/wiki/Charles_Sanders_Peirce_bibliography#Lectures_by_Peirce" title="Charles Sanders Peirce bibliography">Lectures by Peirce</a>. </p><p>After Peirce's death, <a href="/wiki/Harvard_University" title="Harvard University">Harvard University</a> obtained from Peirce's widow the papers found in his study, but did not microfilm them until 1964. Only after Richard Robin (1967)<sup id="cite_ref-80" class="reference"><a href="#cite_note-80"><span class="cite-bracket">&#91;</span>79<span class="cite-bracket">&#93;</span></a></sup> catalogued this <i><a href="/wiki/Nachlass" title="Nachlass">Nachlass</a></i> did it become clear that Peirce had left approximately 1,650 unpublished manuscripts, totaling over 100,000&#160;pages,<sup id="cite_ref-81" class="reference"><a href="#cite_note-81"><span class="cite-bracket">&#91;</span>80<span class="cite-bracket">&#93;</span></a></sup> mostly still unpublished except <a href="/wiki/Charles_Sanders_Peirce_bibliography#mf" title="Charles Sanders Peirce bibliography">on microfilm</a>. On the vicissitudes of Peirce's papers, see Houser (1989).<sup id="cite_ref-82" class="reference"><a href="#cite_note-82"><span class="cite-bracket">&#91;</span>81<span class="cite-bracket">&#93;</span></a></sup> Reportedly the papers remain in unsatisfactory condition.<sup id="cite_ref-83" class="reference"><a href="#cite_note-83"><span class="cite-bracket">&#91;</span>82<span class="cite-bracket">&#93;</span></a></sup> </p><p>The first published anthology of Peirce's articles was the one-volume <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#CLL" title="Charles Sanders Peirce bibliography">Chance, Love and Logic: Philosophical Essays</a></i>, edited by <a href="/wiki/Morris_Raphael_Cohen" title="Morris Raphael Cohen">Morris Raphael Cohen</a>, 1923, still in print. <a href="/wiki/Charles_Sanders_Peirce_bibliography#Other_collections" title="Charles Sanders Peirce bibliography">Other one-volume anthologies</a> were published in 1940, 1957, 1958, 1972, 1994, and 2009, most still in print. The main posthumous editions<sup id="cite_ref-84" class="reference"><a href="#cite_note-84"><span class="cite-bracket">&#91;</span>83<span class="cite-bracket">&#93;</span></a></sup> of Peirce's works in their long trek to light, often multi-volume, and some still in print, have included: </p><p>1931–1958: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#CP" title="Charles Sanders Peirce bibliography">Collected Papers of Charles Sanders Peirce</a></i> (CP), 8 volumes, includes many published works, along with a selection of previously unpublished work and a smattering of his correspondence. This long-time standard edition drawn from Peirce's work from the 1860s to 1913 remains the most comprehensive survey of his prolific output from 1893 to 1913. It is organized thematically, but texts (including lecture series) are often split up across volumes, while texts from various stages in Peirce's development are often combined, requiring frequent visits to editors' notes.<sup id="cite_ref-85" class="reference"><a href="#cite_note-85"><span class="cite-bracket">&#91;</span>84<span class="cite-bracket">&#93;</span></a></sup> Edited (1–6) by <a href="/wiki/Charles_Hartshorne" title="Charles Hartshorne">Charles Hartshorne</a> and <a href="/wiki/Paul_Weiss_(philosopher)" title="Paul Weiss (philosopher)">Paul Weiss</a> and (7–8) by <a href="/wiki/Arthur_Burks" title="Arthur Burks">Arthur Burks</a>, in print and online. </p><p>1975–1987: <a href="/wiki/Charles_Sanders_Peirce_bibliography#CN" title="Charles Sanders Peirce bibliography"><i>Charles Sanders Peirce: Contributions to</i> The Nation</a>, 4 volumes, includes Peirce's more than 300 reviews and articles published 1869–1908 in <i><a href="/wiki/The_Nation" title="The Nation">The Nation</a></i>. Edited by Kenneth Laine Ketner and James Edward Cook, online. </p><p>1976: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#NEM" title="Charles Sanders Peirce bibliography">The New Elements of Mathematics by Charles S. Peirce</a></i>, 4 volumes in 5, included many previously unpublished Peirce manuscripts on mathematical subjects, along with Peirce's important published mathematical articles. Edited by Carolyn Eisele, back in print. </p><p>1977: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#SS" title="Charles Sanders Peirce bibliography">Semiotic and Significs: The Correspondence between C. S. Peirce and Victoria Lady Welby</a></i> (2nd edition 2001), included Peirce's entire correspondence (1903–1912) with <a href="/wiki/Victoria,_Lady_Welby" title="Victoria, Lady Welby">Victoria, Lady Welby</a>. Peirce's other published correspondence is largely limited to the 14 letters included in volume 8 of the <i>Collected Papers</i>, and the 20-odd pre-1890 items included so far in the <i>Writings</i>. Edited by Charles S. Hardwick with James Cook, out of print. </p><p>1982–now: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#W" title="Charles Sanders Peirce bibliography">Writings of Charles S. Peirce, A Chronological Edition</a></i> (W), Volumes 1–6 &amp; 8, of a projected 30. The limited coverage, and defective editing and organization, of the <i>Collected Papers</i> led Max Fisch and others in the 1970s to found the <a rel="nofollow" class="external text" href="http://peirce.iupui.edu/">Peirce Edition Project</a> (PEP), whose mission is to prepare a more complete critical chronological edition. Only seven volumes have appeared to date, but they cover the period from 1859 to 1892, when Peirce carried out much of his best-known work. <i>Writings of Charles S. Peirce</i>, 8 was published in November 2010; and work continues on <i>Writings of Charles S. Peirce</i>, 7, 9, and 11. In print and online. </p><p>1985: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#HP" title="Charles Sanders Peirce bibliography">Historical Perspectives on Peirce's Logic of Science: A History of Science</a></i>, 2 volumes. Auspitz has said,<sup id="cite_ref-86" class="reference"><a href="#cite_note-86"><span class="cite-bracket">&#91;</span>85<span class="cite-bracket">&#93;</span></a></sup> "The extent of Peirce's immersion in the science of his day is evident in his reviews in the <i>Nation</i> [...] and in his papers, grant applications, and publishers' prospectuses in the history and practice of science", referring latterly to <i>Historical Perspectives</i>. Edited by Carolyn Eisele, back in print. </p><p>1992: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#RLT" title="Charles Sanders Peirce bibliography">Reasoning and the Logic of Things</a></i> collects in one place Peirce's 1898 series of lectures invited by William James. Edited by Kenneth Laine Ketner, with commentary by <a href="/wiki/Hilary_Putnam" title="Hilary Putnam">Hilary Putnam</a>, in print. </p><p>1992–1998: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#EP" title="Charles Sanders Peirce bibliography">The Essential Peirce</a></i> (EP), 2 volumes, is an important recent sampler of Peirce's philosophical writings. Edited (1) by Nathan Hauser and Christian Kloesel and (2) by <i>Peirce Edition Project</i> editors, in print. </p><p>1997: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#PPM" title="Charles Sanders Peirce bibliography">Pragmatism as a Principle and Method of Right Thinking</a></i> collects Peirce's 1903 Harvard "Lectures on Pragmatism" in a study edition, including drafts, of Peirce's lecture manuscripts, which had been previously published in abridged form; the lectures now also appear in <i>The Essential Peirce</i>, 2. Edited by Patricia Ann Turisi, in print. </p><p>2010: <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#PMSW" title="Charles Sanders Peirce bibliography">Philosophy of Mathematics: Selected Writings</a></i> collects important writings by Peirce on the subject, many not previously in print. Edited by Matthew E. Moore, in print. </p> <div class="mw-heading mw-heading2"><h2 id="Mathematics">Mathematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=15" title="Edit section: Mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce's most important work in pure mathematics was in logical and foundational areas. He also worked on <a href="/wiki/Linear_algebra" title="Linear algebra">linear algebra</a>, <a href="/wiki/Matrix_(mathematics)" title="Matrix (mathematics)">matrices</a>, various geometries, <a href="/wiki/Topology" title="Topology">topology</a> and <a href="/wiki/Listing_number" title="Listing number">Listing numbers</a>, <a href="/wiki/Bell_number" title="Bell number">Bell numbers</a>, <a href="/wiki/Graph_theory" title="Graph theory">graphs</a>, the <a href="/wiki/Four-color_problem" class="mw-redirect" title="Four-color problem">four-color problem</a>, and the nature of continuity. </p><p>He worked on applied mathematics in economics, engineering, and map projections, and was especially active in <a href="/wiki/Probability" title="Probability">probability</a> and statistics.<sup id="cite_ref-Burks_87-0" class="reference"><a href="#cite_note-Burks-87"><span class="cite-bracket">&#91;</span>86<span class="cite-bracket">&#93;</span></a></sup> </p> <dl><dt>Discoveries</dt></dl> <div style="float:right;width:8.5em;text-align:center;margin-right:20px;border:solid 1px #bbb"><div style="margin:2px;background-color:#dddddd;font-size:40pt;height:50pt;line-height:100%">↓</div> <div style="font-size:8pt;line-height:150%">The <a href="/wiki/Logical_NOR" title="Logical NOR">Peirce arrow</a>, <br />symbol for "(neither) ... <b>nor</b> ...", also called the <i>Quine dagger</i></div></div> <p>Peirce made a number of striking discoveries in formal logic and foundational mathematics, nearly all of which came to be appreciated only long after he died: </p><p>In 1860<sup id="cite_ref-88" class="reference"><a href="#cite_note-88"><span class="cite-bracket">&#91;</span>87<span class="cite-bracket">&#93;</span></a></sup> he suggested a cardinal arithmetic for infinite numbers, years before any work by <a href="/wiki/Georg_Cantor" title="Georg Cantor">Georg Cantor</a> (who completed <a href="/wiki/Georg_Cantor#Teacher_and_researcher" title="Georg Cantor">his dissertation in 1867</a>) and without access to <a href="/wiki/Bernard_Bolzano" title="Bernard Bolzano">Bernard Bolzano</a>'s 1851 (posthumous) <i>Paradoxien des Unendlichen</i>. </p><p>In 1880–1881<sup id="cite_ref-89" class="reference"><a href="#cite_note-89"><span class="cite-bracket">&#91;</span>88<span class="cite-bracket">&#93;</span></a></sup> he showed how <a href="/wiki/Boolean_algebra_(logic)" class="mw-redirect" title="Boolean algebra (logic)">Boolean algebra</a> could be done via a <a href="/wiki/Functional_completeness" title="Functional completeness">repeated sufficient single binary operation</a> (<a href="/wiki/Logical_NOR" title="Logical NOR">logical NOR</a>), anticipating <a href="/wiki/Henry_M._Sheffer" title="Henry M. Sheffer">Henry M. Sheffer</a> by 33&#160;years. (See also <a href="/wiki/De_Morgan%27s_Laws" class="mw-redirect" title="De Morgan&#39;s Laws">De Morgan's Laws</a>.) </p><p>In 1881<sup id="cite_ref-90" class="reference"><a href="#cite_note-90"><span class="cite-bracket">&#91;</span>89<span class="cite-bracket">&#93;</span></a></sup> he set out the <a href="/wiki/Peano_axioms" title="Peano axioms">axiomatization of natural number arithmetic</a>, a few years before <a href="/wiki/Richard_Dedekind" title="Richard Dedekind">Richard Dedekind</a> and <a href="/wiki/Giuseppe_Peano" title="Giuseppe Peano">Giuseppe Peano</a>. In the same paper Peirce gave, years before Dedekind, the first purely cardinal definition of a finite set in the sense now known as "<a href="/wiki/Dedekind-finite" class="mw-redirect" title="Dedekind-finite">Dedekind-finite</a>", and implied by the same stroke an important formal definition of an <a href="/wiki/Infinite_set" title="Infinite set">infinite set</a> (Dedekind-infinite), as a <a href="/wiki/Set_(mathematics)" title="Set (mathematics)">set</a> that can be put into a <a href="/wiki/One-to-one_correspondence" class="mw-redirect" title="One-to-one correspondence">one-to-one correspondence</a> with one of its proper <a href="/wiki/Subsets" class="mw-redirect" title="Subsets">subsets</a>. </p><p>In 1885<sup id="cite_ref-CSP1885_91-0" class="reference"><a href="#cite_note-CSP1885-91"><span class="cite-bracket">&#91;</span>90<span class="cite-bracket">&#93;</span></a></sup> he distinguished between first-order and second-order quantification.<sup id="cite_ref-Putnam_92-0" class="reference"><a href="#cite_note-Putnam-92"><span class="cite-bracket">&#91;</span>91<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-93" class="reference"><a href="#cite_note-93"><span class="cite-bracket">&#91;</span>92<span class="cite-bracket">&#93;</span></a></sup> In the same paper he set out what can be read as the first (primitive) <a href="/wiki/Axiomatic_set_theory" class="mw-redirect" title="Axiomatic set theory">axiomatic set theory</a>, anticipating <a href="/wiki/Zermelo" class="mw-redirect" title="Zermelo">Zermelo</a> by about two decades (Brady 2000,<sup id="cite_ref-Brady_94-0" class="reference"><a href="#cite_note-Brady-94"><span class="cite-bracket">&#91;</span>93<span class="cite-bracket">&#93;</span></a></sup> pp.&#160;132–133). </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:PeirceAlphaGraphs.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/PeirceAlphaGraphs.svg/300px-PeirceAlphaGraphs.svg.png" decoding="async" width="300" height="269" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/29/PeirceAlphaGraphs.svg/450px-PeirceAlphaGraphs.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/29/PeirceAlphaGraphs.svg/600px-PeirceAlphaGraphs.svg.png 2x" data-file-width="272" data-file-height="244" /></a><figcaption><a href="/wiki/Existential_graph" title="Existential graph">Existential graphs</a>: Alpha graphs</figcaption></figure> <p>In 1886, he saw that Boolean calculations could be carried out via electrical switches,<sup id="cite_ref-P2M_13-1" class="reference"><a href="#cite_note-P2M-13"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup> anticipating <a href="/wiki/Claude_Shannon" title="Claude Shannon">Claude Shannon</a> by more than 50 years. By the later 1890s<sup id="cite_ref-95" class="reference"><a href="#cite_note-95"><span class="cite-bracket">&#91;</span>94<span class="cite-bracket">&#93;</span></a></sup> he was devising <a href="/wiki/Existential_graph" title="Existential graph">existential graphs</a>, a diagrammatic notation for the <a href="/wiki/Predicate_calculus" class="mw-redirect" title="Predicate calculus">predicate calculus</a>. Based on them are <a href="/wiki/John_F._Sowa" title="John F. Sowa">John F. Sowa</a>'s <a href="/wiki/Conceptual_graph" title="Conceptual graph">conceptual graphs</a> and Sun-Joo Shin's <a href="/wiki/Diagrammatic_reasoning" title="Diagrammatic reasoning">diagrammatic reasoning</a>. </p> <dl><dt><i>The New Elements of Mathematics</i></dt></dl> <p>Peirce wrote drafts for an introductory textbook, with the working title <i>The New Elements of Mathematics</i>, that presented mathematics from an original standpoint. Those drafts and many other of his previously unpublished mathematical manuscripts finally appeared<sup id="cite_ref-Burks_87-1" class="reference"><a href="#cite_note-Burks-87"><span class="cite-bracket">&#91;</span>86<span class="cite-bracket">&#93;</span></a></sup> in <i>The New Elements of Mathematics by Charles S. Peirce</i> (1976), edited by mathematician <a href="/wiki/Carolyn_Eisele" title="Carolyn Eisele">Carolyn Eisele</a>. </p> <dl><dt>Nature of mathematics</dt></dl> <p>Peirce agreed with <a href="/wiki/Auguste_Comte" title="Auguste Comte">Auguste Comte</a> in regarding mathematics as more basic than philosophy and the special sciences (of nature and mind). Peirce <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">classified</a> mathematics into three subareas: (1) mathematics of logic, (2) discrete series, and (3) pseudo-continua (as he called them, including the <a href="/wiki/Real_numbers" class="mw-redirect" title="Real numbers">real numbers</a>) and continua. Influenced by his father <a href="/wiki/Benjamin_Peirce" title="Benjamin Peirce">Benjamin</a>, Peirce argued that mathematics studies purely hypothetical objects and is not just the science of quantity but is more broadly the science which draws necessary conclusions; that mathematics aids logic, not vice versa; and that logic itself is part of philosophy and is the science <i>about</i> drawing conclusions necessary and otherwise.<sup id="cite_ref-96" class="reference"><a href="#cite_note-96"><span class="cite-bracket">&#91;</span>95<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Mathematics_of_logic">Mathematics of logic</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=16" title="Edit section: Mathematics of logic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="infobox" style="padding:5px;width:40%">Mathematical logic and foundations, some noted articles <ul><li>"On an Improvement in Boole's Calculus of Logic" (1867)</li> <li>"Description of a Notation for the Logic of Relatives" (1870)</li> <li>"On the Algebra of Logic" (1880)</li> <li>"A Boolian&#32;&#91;<i><a href="/wiki/Sic" title="Sic">sic</a></i>&#93; Algebra with One Constant" (1880 MS)</li> <li>"On the Logic of Number" (1881)</li> <li>"Note B: The Logic of Relatives" (1883)</li> <li>"On the Algebra of Logic: A Contribution to the Philosophy of Notation" (1884/1885)</li> <li>"The Logic of Relatives" (1897)</li> <li>"The Simplest Mathematics" (1902 MS)</li> <li>"Prolegomena to an Apology for Pragmaticism" (1906, on existential graphs)</li></ul> </div> <div class="mw-heading mw-heading3"><h3 id="Probability_and_statistics">Probability and statistics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=17" title="Edit section: Probability and statistics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce held that science achieves statistical probabilities, not certainties, and that spontaneity ("absolute chance") is real (see <a href="/wiki/Tychism" title="Tychism">Tychism</a> on his view). Most of his statistical writings promote the <a href="/wiki/Frequency_probability" class="mw-redirect" title="Frequency probability">frequency interpretation</a> of probability (objective ratios of cases), and many of his writings express skepticism about (and criticize the use of) <a href="/wiki/Statistical_model" title="Statistical model">probability</a> when such models are not based on objective <a href="/wiki/Randomization" title="Randomization">randomization</a>.<sup id="cite_ref-97" class="reference"><a href="#cite_note-97"><span class="cite-bracket">&#91;</span>96<span class="cite-bracket">&#93;</span></a></sup> Though Peirce was largely a frequentist, his <a href="/wiki/Possible_world_semantics" class="mw-redirect" title="Possible world semantics">possible world semantics</a> introduced the <a href="/wiki/Propensity_probability" title="Propensity probability">"propensity" theory of probability</a> before <a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a>.<sup id="cite_ref-98" class="reference"><a href="#cite_note-98"><span class="cite-bracket">&#91;</span>97<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-99" class="reference"><a href="#cite_note-99"><span class="cite-bracket">&#91;</span>98<span class="cite-bracket">&#93;</span></a></sup> Peirce (sometimes with <a href="/wiki/Joseph_Jastrow" title="Joseph Jastrow">Joseph Jastrow</a>) investigated the <a href="/wiki/Bayesian_probability" title="Bayesian probability">probability judgments</a> of experimental subjects, "perhaps the very first" elicitation and estimation of <a href="/wiki/Subjective_probability" class="mw-redirect" title="Subjective probability">subjective probabilities</a> in <a href="/wiki/Experimental_psychology" title="Experimental psychology">experimental psychology</a> and (what came to be called) <a href="/wiki/Bayesian_statistics" title="Bayesian statistics">Bayesian statistics</a>.<sup id="cite_ref-Stigler78_2-1" class="reference"><a href="#cite_note-Stigler78-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p><p>Peirce was one of the <a href="/wiki/Founders_of_statistics" title="Founders of statistics">founders of statistics</a>. He formulated modern statistics in "<a href="/wiki/Charles_Sanders_Peirce_bibliography#illus" title="Charles Sanders Peirce bibliography">Illustrations of the Logic of Science</a>" (1877–1878) and "<a href="/wiki/Charles_Sanders_Peirce_bibliography#SIL" title="Charles Sanders Peirce bibliography">A Theory of Probable Inference</a>" (1883). With a <a href="/wiki/Repeated_measures_design" title="Repeated measures design">repeated measures design</a>, Charles Sanders Peirce and Joseph Jastrow introduced <a href="/wiki/Blind_experiment" class="mw-redirect" title="Blind experiment">blinded</a>, <a href="/wiki/Randomized_controlled_trial" title="Randomized controlled trial">controlled randomized experiments</a> in 1884<sup id="cite_ref-100" class="reference"><a href="#cite_note-100"><span class="cite-bracket">&#91;</span>99<span class="cite-bracket">&#93;</span></a></sup> (Hacking 1990:205)<sup id="cite_ref-Hacking_1-1" class="reference"><a href="#cite_note-Hacking-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> (before <a href="/wiki/Ronald_A._Fisher" class="mw-redirect" title="Ronald A. Fisher">Ronald A. Fisher</a>).<sup id="cite_ref-Stigler78_2-2" class="reference"><a href="#cite_note-Stigler78-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> He invented <a href="/wiki/Optimal_design" class="mw-redirect" title="Optimal design">optimal design</a> for experiments on gravity, in which he "<a href="/wiki/Analysis_of_variance" title="Analysis of variance">corrected the means</a>". He used <a href="/wiki/Correlation" title="Correlation">correlation</a> and <a href="/wiki/Smoothing" title="Smoothing">smoothing</a>. Peirce extended the work on <a href="/wiki/Peirce%27s_criterion" title="Peirce&#39;s criterion">outliers</a> by <a href="/wiki/Benjamin_Peirce" title="Benjamin Peirce">Benjamin Peirce</a>, his father.<sup id="cite_ref-Stigler78_2-3" class="reference"><a href="#cite_note-Stigler78-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> He introduced the terms "<a href="/wiki/Confidence_interval" title="Confidence interval">confidence</a>" and "<a href="/wiki/Likelihood_function" title="Likelihood function">likelihood</a>" (before <a href="/wiki/Jerzy_Neyman" title="Jerzy Neyman">Jerzy Neyman</a> and <a href="/wiki/Ronald_A._Fisher" class="mw-redirect" title="Ronald A. Fisher">Fisher</a>). (See <a href="/wiki/Stephen_Stigler" title="Stephen Stigler">Stephen Stigler</a>'s historical books and <a href="/wiki/Ian_Hacking" title="Ian Hacking">Ian Hacking</a> 1990.<sup id="cite_ref-Hacking_1-2" class="reference"><a href="#cite_note-Hacking-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup>) </p> <div class="mw-heading mw-heading2"><h2 id="As_a_philosopher">As a philosopher</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=18" title="Edit section: As a philosopher"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce was a working scientist for 30 years, and arguably was a professional philosopher only during the five years he lectured at Johns Hopkins. He learned philosophy mainly by reading, each day, a few pages of <a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Immanuel Kant</a>'s <i><a href="/wiki/Critique_of_Pure_Reason" title="Critique of Pure Reason">Critique of Pure Reason</a></i>, in the original German, while a Harvard undergraduate. His writings bear on a wide array of disciplines, including mathematics, <a href="/wiki/Logic" title="Logic">logic</a>, philosophy, statistics, <a href="/wiki/Astronomy" title="Astronomy">astronomy</a>,<sup id="cite_ref-SP2_29-2" class="reference"><a href="#cite_note-SP2-29"><span class="cite-bracket">&#91;</span>28<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Metrology" title="Metrology">metrology</a>,<sup id="cite_ref-metr_3-1" class="reference"><a href="#cite_note-metr-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Geodesy" title="Geodesy">geodesy</a>, <a href="/wiki/Experimental_psychology" title="Experimental psychology">experimental psychology</a>,<sup id="cite_ref-psych_4-1" class="reference"><a href="#cite_note-psych-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> economics,<sup id="cite_ref-econom_5-1" class="reference"><a href="#cite_note-econom-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> <a href="/wiki/Linguistics" title="Linguistics">linguistics</a>,<sup id="cite_ref-ling_6-1" class="reference"><a href="#cite_note-ling-6"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> and the <a href="/wiki/History_and_philosophy_of_science" title="History and philosophy of science">history and philosophy of science</a>. This work has enjoyed renewed interest and approval, a revival inspired not only by his anticipations of recent scientific developments but also by his demonstration of how philosophy can be applied effectively to human problems. </p><p>Peirce's philosophy includes a pervasive three-category system: belief that truth is immutable and is both independent from actual opinion (<a href="/wiki/Fallibilism" title="Fallibilism">fallibilism</a>) and discoverable (no radical skepticism), logic as formal semiotic on signs, on arguments, and on inquiry's ways—including philosophical <a href="/wiki/Pragmatism" title="Pragmatism">pragmatism</a> (which he founded), <a href="#Critical_common-sensism">critical common-sensism</a>, and <a href="/wiki/Scientific_method" title="Scientific method">scientific method</a>—and, in metaphysics: <a href="/wiki/Scotistic_realism" title="Scotistic realism">Scholastic realism</a>, e.g. <a href="/wiki/John_Duns_Scotus" class="mw-redirect" title="John Duns Scotus">John Duns Scotus</a>, belief in God, freedom, and at least an attenuated immortality, <a href="/wiki/Objective_idealism" title="Objective idealism">objective idealism</a>, and belief in the reality of continuity and of absolute chance, mechanical necessity, and creative love.<sup id="cite_ref-evolove_101-0" class="reference"><a href="#cite_note-evolove-101"><span class="cite-bracket">&#91;</span>100<span class="cite-bracket">&#93;</span></a></sup> In his work, fallibilism and pragmatism may seem to work somewhat like <a href="/wiki/Skepticism" title="Skepticism">skepticism</a> and <a href="/wiki/Positivism" title="Positivism">positivism</a>, respectively, in others' work. However, for Peirce, fallibilism is balanced by an <a href="/wiki/Pragmatism#antiskep" title="Pragmatism">anti-skepticism</a> and is a basis for belief in the reality of absolute chance and of continuity,<sup id="cite_ref-FCE_102-0" class="reference"><a href="#cite_note-FCE-102"><span class="cite-bracket">&#91;</span>101<span class="cite-bracket">&#93;</span></a></sup> and pragmatism commits one to anti-<a href="/wiki/Nominalist" class="mw-redirect" title="Nominalist">nominalist</a> belief in the reality of the general (CP 5.453–457). </p><p>For Peirce, First Philosophy, which he also called cenoscopy, is less basic than mathematics and more basic than the special sciences (of nature and mind). It studies positive phenomena in general, phenomena available to any person at any waking moment, and does not settle questions by resorting to special experiences.<sup id="cite_ref-phil_103-0" class="reference"><a href="#cite_note-phil-103"><span class="cite-bracket">&#91;</span>102<span class="cite-bracket">&#93;</span></a></sup> He <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">divided</a> such philosophy into (1) phenomenology (which he also called phaneroscopy or categorics), (2) normative sciences (esthetics, ethics, and logic), and (3) metaphysics; his views on them are discussed in order below. </p><p>Peirce did not write extensively in aesthetics and ethics,<sup id="cite_ref-104" class="reference"><a href="#cite_note-104"><span class="cite-bracket">&#91;</span>103<span class="cite-bracket">&#93;</span></a></sup> but came by 1902 to hold that aesthetics, ethics, and logic, in that order, comprise the normative sciences.<sup id="cite_ref-105" class="reference"><a href="#cite_note-105"><span class="cite-bracket">&#91;</span>104<span class="cite-bracket">&#93;</span></a></sup> He characterized aesthetics as the study of the good (grasped as the admirable), and thus of the ends governing all conduct and thought.<sup id="cite_ref-106" class="reference"><a href="#cite_note-106"><span class="cite-bracket">&#91;</span>105<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Influence_and_legacy">Influence and legacy</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=19" title="Edit section: Influence and legacy"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Umberto_Eco" title="Umberto Eco">Umberto Eco</a> described Peirce as "undoubtedly the greatest unpublished writer of our generation"<sup id="cite_ref-107" class="reference"><a href="#cite_note-107"><span class="cite-bracket">&#91;</span>106<span class="cite-bracket">&#93;</span></a></sup> and by <a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a> as "one of the greatest philosophers of all time".<sup id="cite_ref-108" class="reference"><a href="#cite_note-108"><span class="cite-bracket">&#91;</span>107<span class="cite-bracket">&#93;</span></a></sup> The <a href="/wiki/Internet_Encyclopedia_of_Philosophy" title="Internet Encyclopedia of Philosophy">Internet Encyclopedia of Philosophy</a> says of Peirce that although "long considered an eccentric figure whose contribution to pragmatism was to provide its name and whose importance was as an influence upon James and Dewey, Peirce's significance in his own right is now largely accepted."<sup id="cite_ref-109" class="reference"><a href="#cite_note-109"><span class="cite-bracket">&#91;</span>108<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Pragmatism">Pragmatism</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=20" title="Edit section: Pragmatism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main articles: <a href="/wiki/Pragmaticism" title="Pragmaticism">Pragmaticism</a>, <a href="/wiki/Pragmatic_maxim" title="Pragmatic maxim">Pragmatic maxim</a>, and <a href="/wiki/Pragmatic_theory_of_truth#Peirce" title="Pragmatic theory of truth">Pragmatic theory of truth §&#160;Peirce</a></div> <div class="infobox" style="padding:5px;font-size:94%;width:auto">Some noted articles and lectures <ul><li><a href="https://en.wikisource.org/wiki/Author:Charles_Sanders_Peirce#Articles_in_The_Popular_Science_Monthly_Project" class="extiw" title="s:Author:Charles Sanders Peirce">Illustrations of the Logic of Science</a> (1877–1878): <br />inquiry, pragmatism, statistics, inference</li></ul> <ol><li>The Fixation of Belief (1877)</li> <li>How to Make Our Ideas Clear (1878)</li> <li>The Doctrine of Chances (1878)</li> <li>The Probability of Induction (1878)</li> <li>The Order of Nature (1878)</li> <li>Deduction, Induction, and Hypothesis (1878)</li></ol> <ul><li>The Harvard lectures on pragmatism (1903)</li> <li>What Pragmatism Is (1905)</li> <li>Issues of Pragmaticism (1905)</li> <li>Pragmatism (1907 MS in <i>The Essential Peirce</i>, 2)</li></ul></div><p> Peirce's recipe for pragmatic thinking, which he called <i><a href="/wiki/Pragmatism" title="Pragmatism">pragmatism</a></i> and, later, <i><a href="/wiki/Pragmaticism" title="Pragmaticism">pragmaticism</a></i>, is recapitulated in several versions of the so-called <i><a href="/wiki/Pragmatic_maxim" title="Pragmatic maxim">pragmatic maxim</a></i>. Here is one of his more <a href="/wiki/Pragmatic_maxim#2" title="Pragmatic maxim">emphatic reiterations</a> of it: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"></p><blockquote class="templatequote"><p>Consider what effects that might <i>conceivably</i> have practical bearings you <i>conceive</i> the objects of your <i>conception</i> to have. Then, your <i>conception</i> of those effects is the whole of your <i>conception</i> of the object.</p></blockquote> <p>As a movement, pragmatism began in the early 1870s in discussions among Peirce, <a href="/wiki/William_James" title="William James">William James</a>, and others in <a href="/wiki/The_Metaphysical_Club" title="The Metaphysical Club">the Metaphysical Club</a>. James among others regarded some articles by Peirce such as "<a href="https://en.wikisource.org/wiki/The_Fixation_of_Belief" class="extiw" title="s:The Fixation of Belief">The Fixation of Belief</a>" (1877) and especially "<a href="https://en.wikisource.org/wiki/How_to_Make_Our_Ideas_Clear" class="extiw" title="s:How to Make Our Ideas Clear">How to Make Our Ideas Clear</a>" (1878) as foundational to <a href="/wiki/Pragmatism" title="Pragmatism">pragmatism</a>.<sup id="cite_ref-110" class="reference"><a href="#cite_note-110"><span class="cite-bracket">&#91;</span>109<span class="cite-bracket">&#93;</span></a></sup> Peirce (CP 5.11–12), like James (<i><a href="https://en.wikisource.org/wiki/Pragmatism:_A_New_Name_for_Some_Old_Ways_of_Thinking" class="extiw" title="s:Pragmatism: A New Name for Some Old Ways of Thinking">Pragmatism: A New Name for Some Old Ways of Thinking</a></i>, 1907), saw pragmatism as embodying familiar attitudes, in philosophy and elsewhere, elaborated into a new deliberate method for fruitful thinking about problems. Peirce differed from James and the early <a href="/wiki/John_Dewey" title="John Dewey">John Dewey</a>, in some of their tangential enthusiasms, in being decidedly more rationalistic and realistic, in several senses of those terms, throughout the preponderance of his own philosophical moods. </p><p>In 1905 Peirce coined the new name <a href="/wiki/Pragmaticism" title="Pragmaticism">pragmaticism</a> "for the precise purpose of expressing the original definition", saying that "all went happily" with James's and <a href="/wiki/F.C.S._Schiller" class="mw-redirect" title="F.C.S. Schiller">F.C.S. Schiller</a>'s variant uses of the old name "pragmatism" and that he coined the new name because of the old name's growing use in "literary journals, where it gets abused". Yet he cited as causes, in a 1906 manuscript, his differences with James and Schiller and, in a 1908 publication, his differences with James as well as literary author <a href="/wiki/Giovanni_Papini" title="Giovanni Papini">Giovanni Papini</a>'s declaration of pragmatism's indefinability. Peirce in any case regarded his views that truth is immutable and infinity is real, as being opposed by the other pragmatists, but he remained allied with them on other issues.<sup id="cite_ref-111" class="reference"><a href="#cite_note-111"><span class="cite-bracket">&#91;</span>110<span class="cite-bracket">&#93;</span></a></sup><sup class="noprint Inline-Template noprint Template-Fact" style="white-space:nowrap;">&#91;<i><a href="/wiki/Wikipedia:Verifiability#Wikipedia_and_sources_that_mirror_or_use_it" title="Wikipedia:Verifiability"><span title="This claim cites another Wikipedia article. Articles need references to reliable third-party sources. (March 2024)">circular reference</span></a></i>&#93;</sup> </p><p>Pragmatism begins with the idea that belief is that on which one is prepared to act. Peirce's pragmatism is a method of clarification of conceptions of objects. It equates any conception of an object to a conception of that object's effects to a general extent of the effects' conceivable implications for informed practice. It is a method of sorting out conceptual confusions occasioned, for example, by distinctions that make (sometimes needed) formal yet not practical differences. He formulated both pragmatism and statistical principles as aspects of scientific logic, in his "Illustrations of the Logic of Science" series of articles. In the second one, "<a href="https://en.wikisource.org/wiki/How_to_Make_Our_Ideas_Clear" class="extiw" title="s:How to Make Our Ideas Clear">How to Make Our Ideas Clear</a>", Peirce discussed three grades of clearness of conception: </p> <ol><li>Clearness of a conception familiar and readily used, even if unanalyzed and undeveloped.</li> <li>Clearness of a conception in virtue of clearness of its parts, in virtue of which logicians called an idea "distinct", that is, clarified by analysis of just what makes it applicable. Elsewhere, echoing Kant, Peirce called a likewise distinct definition "nominal" (CP 5.553).</li> <li>Clearness in virtue of clearness of conceivable practical implications of the object's conceived effects, such that fosters fruitful reasoning, especially on difficult problems. Here he introduced that which he later called the <a href="/wiki/Pragmatic_maxim" title="Pragmatic maxim">pragmatic maxim</a>.</li></ol> <p>By way of example of how to clarify conceptions, he addressed conceptions about truth and the real as questions of the <a href="#Presuppositions_of_logic">presuppositions of reasoning</a> in general. In clearness's second grade (the "nominal" grade), he defined truth as a sign's correspondence to its object, and the real as the object of such correspondence, such that truth and the real are independent of that which you or I or any actual, definite <a href="/wiki/Community_of_inquiry" title="Community of inquiry">community of inquirers</a> think. After that needful but confined step, next in clearness's third grade (the pragmatic, practice-oriented grade) he defined truth as that opinion which <i>would</i> be reached, sooner or later but still inevitably, by research taken far enough, such that the real does depend on that ideal final opinion—a dependence to which he appeals in theoretical arguments elsewhere, for instance for the long-run validity of the rule of induction.<sup id="cite_ref-Induction_112-0" class="reference"><a href="#cite_note-Induction-112"><span class="cite-bracket">&#91;</span>111<span class="cite-bracket">&#93;</span></a></sup> Peirce argued that even to argue against the independence and discoverability of truth and the real is to presuppose that there is, about that very question under argument, a truth with just such independence and discoverability. </p><p>Peirce said that a conception's meaning consists in "<a href="/wiki/Pragmatic_maxim#2" title="Pragmatic maxim">all general modes of rational conduct</a>" implied by "acceptance" of the conception—that is, if one were to accept, first of all, the conception as true, then what could one conceive to be consequent general modes of rational conduct by all who accept the conception as true?—the whole of such consequent general modes is the whole meaning. His pragmatism does not equate a conception's meaning, its intellectual purport, with the conceived benefit or cost of the conception itself, like a meme (or, say, propaganda), outside the perspective of its being true, nor, since a conception is general, is its meaning equated with any definite set of actual consequences or upshots corroborating or undermining the conception or its worth. His pragmatism also bears no resemblance to "vulgar" pragmatism, which misleadingly connotes a ruthless and <a href="/wiki/Machiavelli" class="mw-redirect" title="Machiavelli">Machiavellian</a> search for mercenary or political advantage. Instead the pragmatic maxim is the heart of his pragmatism as a method of experimentational mental <a href="/wiki/Pragmatic_maxim#6" title="Pragmatic maxim">reflection</a><sup id="cite_ref-113" class="reference"><a href="#cite_note-113"><span class="cite-bracket">&#91;</span>112<span class="cite-bracket">&#93;</span></a></sup> arriving at conceptions in terms of conceivable confirmatory and disconfirmatory circumstances—a method hospitable to the formation of explanatory hypotheses, and conducive to the use and improvement of verification.<sup id="cite_ref-114" class="reference"><a href="#cite_note-114"><span class="cite-bracket">&#91;</span>113<span class="cite-bracket">&#93;</span></a></sup> </p><p>Peirce's pragmatism, as method and theory of definitions and conceptual clearness, is part of his theory of inquiry,<sup id="cite_ref-115" class="reference"><a href="#cite_note-115"><span class="cite-bracket">&#91;</span>114<span class="cite-bracket">&#93;</span></a></sup> which he variously called speculative, general, formal or <a href="/wiki/Universal_rhetoric" title="Universal rhetoric">universal rhetoric</a> or simply methodeutic.<sup id="cite_ref-rhetoric_116-0" class="reference"><a href="#cite_note-rhetoric-116"><span class="cite-bracket">&#91;</span>115<span class="cite-bracket">&#93;</span></a></sup> He applied his pragmatism as a method throughout his work. </p> <div class="mw-heading mw-heading3"><h3 id="Theory_of_inquiry">Theory of inquiry</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=21" title="Edit section: Theory of inquiry"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Inquiry" title="Inquiry">Inquiry</a></div> <p>In "<a href="https://en.wikisource.org/wiki/The_Fixation_of_Belief" class="extiw" title="wikisource:The Fixation of Belief">The Fixation of Belief</a>" (1877), Peirce gives his take on the psychological origin and aim of inquiry. On his view, individuals are motivated to inquiry by desire to escape the feelings of anxiety and unease which Peirce takes to be characteristic of the state of doubt. Doubt is described by Peirce as an "uneasy and dissatisfied state from which we struggle to free ourselves and pass into the state of belief." Peirce uses words like "irritation" to describe the experience of being in doubt and to explain why he thinks we find such experiences to be motivating. The irritating feeling of doubt is appeased, Peirce says, through our efforts to achieve a settled state of satisfaction with what we land on as our answer to the question which led to that doubt in the first place. This settled state, namely, belief, is described by Peirce as "a calm and satisfactory state which we do not wish to avoid." Our efforts to achieve the satisfaction of belief, by whichever methods we may pursue, are what Peirce calls "inquiry". Four methods which Peirce describes as having been actually pursued throughout the history of thought are summarized below in the section after next. </p> <div class="mw-heading mw-heading4"><h4 id="Critical_common-sensism">Critical common-sensism</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=22" title="Edit section: Critical common-sensism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Critical common-sensism,<sup id="cite_ref-117" class="reference"><a href="#cite_note-117"><span class="cite-bracket">&#91;</span>116<span class="cite-bracket">&#93;</span></a></sup> treated by Peirce as a consequence of his pragmatism, is his combination of <a href="/wiki/Scottish_School_of_Common_Sense" class="mw-redirect" title="Scottish School of Common Sense">Thomas Reid's common-sense philosophy</a> with a <a href="/wiki/Fallibilism" title="Fallibilism">fallibilism</a> that recognizes that propositions of our more or less vague common sense now indubitable may later come into question, for example because of transformations of our world through science. It includes efforts to raise genuine doubts in tests for a core group of common indubitables that change slowly, if at all. </p> <div class="mw-heading mw-heading4"><h4 id="Rival_methods_of_inquiry">Rival methods of inquiry</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=23" title="Edit section: Rival methods of inquiry"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In "<a href="https://en.wikisource.org/wiki/The_Fixation_of_Belief" class="extiw" title="s:The Fixation of Belief">The Fixation of Belief</a>" (1877), Peirce described inquiry in general not as the pursuit of truth <i>per se</i> but as the struggle to move from irritating, inhibitory doubt born of surprise, disagreement, and the like, and to reach a secure belief, belief being that on which one is prepared to act. That let Peirce frame scientific inquiry as part of a broader spectrum and as spurred, like inquiry generally, by actual doubt, not mere verbal, quarrelsome, or <a href="/wiki/Hyperbolic_doubt" class="mw-redirect" title="Hyperbolic doubt">hyperbolic doubt</a>, which he held to be fruitless. Peirce sketched four methods of settling opinion, ordered from least to most successful: </p> <ol><li>The method of <em>tenacity</em> (policy of sticking to initial belief) – which brings comforts and decisiveness but leads to trying to ignore contrary information and others' views as if truth were intrinsically private, not public. The method goes against the social impulse and easily falters since one may well notice when another's opinion seems as good as one's own initial opinion. Its successes can be brilliant but tend to be transitory.</li> <li>The method of <em>authority</em> – which overcomes disagreements but sometimes brutally. Its successes can be majestic and long-lasting, but it cannot regulate people thoroughly enough to withstand doubts indefinitely, especially when people learn about other societies present and past.</li> <li>The method of the <em>a priori</em> – which promotes conformity less brutally but fosters opinions as something like tastes, arising in conversation and comparisons of perspectives in terms of "what is agreeable to reason". Thereby it depends on fashion in <a href="/wiki/Paradigm" title="Paradigm">paradigms</a> and goes in circles over time. It is more intellectual and respectable but, like the first two methods, sustains accidental and capricious beliefs, destining some minds to doubt it.</li> <li>The method of <em>science</em> – wherein inquiry supposes that the real is discoverable but independent of particular opinion, such that, unlike in the other methods, inquiry can, by its own account, go wrong (<a href="/wiki/Fallibilism" title="Fallibilism">fallibilism</a>), not only right, and thus purposely tests itself and criticizes, corrects, and improves itself.</li></ol> <p>Peirce held that, in practical affairs, slow and stumbling ratiocination is often dangerously inferior to instinct and traditional sentiment, and that the scientific method is best suited to theoretical research,<sup id="cite_ref-118" class="reference"><a href="#cite_note-118"><span class="cite-bracket">&#91;</span>117<span class="cite-bracket">&#93;</span></a></sup> which in turn should not be trammeled by the other methods and practical ends; reason's "first rule"<sup id="cite_ref-FRL_119-0" class="reference"><a href="#cite_note-FRL-119"><span class="cite-bracket">&#91;</span>118<span class="cite-bracket">&#93;</span></a></sup> is that, in order to learn, one must desire to learn and, as a corollary, must not block the way of inquiry. <a href="/wiki/Scientific_method" title="Scientific method">Scientific method</a> excels over the others finally by being deliberately designed to arrive—eventually—at the most secure beliefs, upon which the most successful practices can be based. Starting from the idea that people seek not truth <i>per se</i> but instead to subdue irritating, inhibitory doubt, Peirce showed how, through the struggle, some can come to submit to truth for the sake of belief's integrity, seek as truth the guidance of potential conduct correctly to its given goal, and wed themselves to the scientific method. </p> <div class="mw-heading mw-heading4"><h4 id="Scientific_method">Scientific method</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=24" title="Edit section: Scientific method"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Insofar as clarification by pragmatic reflection suits explanatory hypotheses and fosters predictions and testing, pragmatism points beyond the usual duo of foundational alternatives: <a href="/wiki/Deductive_reasoning" title="Deductive reasoning">deduction</a> from self-evident truths, or <i><a href="/wiki/Rationalism" title="Rationalism">rationalism</a></i>; and <a href="/wiki/Inductive_reasoning" title="Inductive reasoning">induction</a> from experiential phenomena, or <i><a href="/wiki/Empiricism" title="Empiricism">empiricism</a></i>. </p><p>Based on his critique of three <a href="#Modes_of_inference">modes of argument</a> and different from either <a href="/wiki/Foundationalism" title="Foundationalism">foundationalism</a> or <a href="/wiki/Coherentism" title="Coherentism">coherentism</a>, Peirce's approach seeks to justify claims by a three-phase dynamic of inquiry: </p> <ol><li>Active, <a href="/wiki/Abductive_reasoning" title="Abductive reasoning">abductive</a> genesis of theory, with no prior assurance of truth;</li> <li>Deductive application of the contingent theory so as to clarify its practical implications;</li> <li>Inductive testing and evaluation of the utility of the provisional theory in anticipation of future experience, in both senses: <i><a href="/wiki/Prediction" title="Prediction">prediction</a></i> and <i>control</i>.</li></ol> <p>Thereby, Peirce devised an approach to inquiry far more solid than the flatter image of inductive generalization <i>simpliciter</i>, which is a mere re-labeling of phenomenological patterns. Peirce's pragmatism was the first time the <a href="/wiki/Scientific_method" title="Scientific method">scientific method</a> was proposed as an <a href="/wiki/Epistemology" title="Epistemology">epistemology</a> for philosophical questions. </p><p>A theory that succeeds better than its rivals in predicting and controlling our world is said to be nearer the truth. This is an operational notion of truth used by scientists. </p><p>Peirce extracted the pragmatic <a href="/wiki/Mental_model" title="Mental model">model</a> or <a href="/wiki/Theory" title="Theory">theory</a> of inquiry from its raw materials in classical logic and refined it in parallel with the early development of symbolic logic to address problems about the nature of scientific reasoning. </p><p>Abduction, deduction, and induction make incomplete sense in isolation from one another but comprise a cycle understandable as a whole insofar as they collaborate toward the common end of inquiry. In the pragmatic way of thinking about conceivable practical implications, every thing has a purpose, and, as possible, its purpose should first be denoted. Abduction hypothesizes an explanation for deduction to clarify into implications to be tested so that induction can evaluate the hypothesis, in the struggle to move from troublesome uncertainty to more secure belief. No matter how traditional and needful it is to study the modes of inference in abstraction from one another, the integrity of inquiry strongly limits the effective <a href="/wiki/Modularity_(programming)" class="mw-redirect" title="Modularity (programming)">modularity</a> of its principal components. </p><p>Peirce's outline of the scientific method in §III–IV of "A Neglected Argument"<sup id="cite_ref-NA_120-0" class="reference"><a href="#cite_note-NA-120"><span class="cite-bracket">&#91;</span>119<span class="cite-bracket">&#93;</span></a></sup> is summarized below (except as otherwise noted). There he also reviewed plausibility and inductive precision (issues of <a href="#Modes_of_inference">critique of arguments</a>). </p> <ol><li><i>Abductive</i> (or retroductive) phase. Guessing, inference to explanatory hypotheses for selection of those best worth trying. From abduction, Peirce distinguishes induction as inferring, on the basis of tests, the proportion of truth in the hypothesis. Every inquiry, whether into ideas, brute facts, or norms and laws, arises from surprising observations in one or more of those realms (and for example at any stage of an inquiry already underway). All explanatory content of theories comes from abduction, which guesses a new or outside idea so as to account in a simple, economical way for a surprising or complicated phenomenon. The modicum of success in our guesses far exceeds that of random luck, and seems born of attunement to nature by developed or inherent instincts, especially insofar as best guesses are optimally plausible and simple in the sense of the "facile and natural", as by <a href="/wiki/Galileo" class="mw-redirect" title="Galileo">Galileo</a>'s natural light of reason and as distinct from "logical simplicity".<sup id="cite_ref-121" class="reference"><a href="#cite_note-121"><span class="cite-bracket">&#91;</span>120<span class="cite-bracket">&#93;</span></a></sup> Abduction is the most fertile but least secure mode of inference. Its general rationale is inductive: it succeeds often enough and it has no substitute in expediting us toward new truths.<sup id="cite_ref-122" class="reference"><a href="#cite_note-122"><span class="cite-bracket">&#91;</span>121<span class="cite-bracket">&#93;</span></a></sup> In 1903, Peirce called pragmatism "the logic of abduction".<sup id="cite_ref-123" class="reference"><a href="#cite_note-123"><span class="cite-bracket">&#91;</span>122<span class="cite-bracket">&#93;</span></a></sup> Coordinative method leads from abducting a plausible hypothesis to judging it for its testability<sup id="cite_ref-124" class="reference"><a href="#cite_note-124"><span class="cite-bracket">&#91;</span>123<span class="cite-bracket">&#93;</span></a></sup> and for how its trial would economize inquiry itself.<sup id="cite_ref-econ_125-0" class="reference"><a href="#cite_note-econ-125"><span class="cite-bracket">&#91;</span>124<span class="cite-bracket">&#93;</span></a></sup> The hypothesis, being insecure, needs to have practical implications leading at least to mental tests and, in science, lending themselves to scientific tests. A simple but unlikely guess, if not costly to test for falsity, may belong first in line for testing. A guess is intrinsically worth testing if it has plausibility or reasoned objective probability, while <a href="/wiki/Subjective_probability" class="mw-redirect" title="Subjective probability">subjective likelihood</a>, though reasoned, can be misleadingly seductive. Guesses can be selected for trial strategically, for their caution (for which Peirce gave as example the game of <a href="/wiki/Twenty_Questions" class="mw-redirect" title="Twenty Questions">Twenty Questions</a>), breadth, or incomplexity.<sup id="cite_ref-126" class="reference"><a href="#cite_note-126"><span class="cite-bracket">&#91;</span>125<span class="cite-bracket">&#93;</span></a></sup> One can discover only that which would be revealed through their sufficient experience anyway, and so the point is to expedite it; economy of research demands the leap, so to speak, of abduction and governs its art.<sup id="cite_ref-econ_125-1" class="reference"><a href="#cite_note-econ-125"><span class="cite-bracket">&#91;</span>124<span class="cite-bracket">&#93;</span></a></sup></li></ol> <ol><li><i>Deductive</i> phase. Two stages:</li></ol> <dl><dd>i. Explication. Not clearly premised, but a deductive analysis of the hypothesis so as to render its parts as clear as possible.</dd> <dd>ii. Demonstration: Deductive Argumentation, <a href="/wiki/Euclid" title="Euclid">Euclidean</a> in procedure. Explicit deduction of consequences of the hypothesis as predictions about evidence to be found. <a href="/wiki/Corollary" title="Corollary">Corollarial</a> or, if needed, Theorematic.</dd></dl> <ol><li><i>Inductive</i> phase. Evaluation of the hypothesis, inferring from observational or experimental tests of its deduced consequences. The long-run validity of the rule of induction is deducible from the principle (presuppositional to reasoning in general) that the real "is only the object of the final opinion to which sufficient investigation would lead";<sup id="cite_ref-Induction_112-1" class="reference"><a href="#cite_note-Induction-112"><span class="cite-bracket">&#91;</span>111<span class="cite-bracket">&#93;</span></a></sup> in other words, anything excluding such a process would never be real. Induction involving the ongoing accumulation of evidence follows "a method which, sufficiently persisted in", will "diminish the error below any predesignate degree". Three stages:</li></ol> <dl><dd>i. Classification. Not clearly premised, but an inductive classing of objects of experience under general ideas.</dd> <dd>ii. Probation: direct Inductive Argumentation. Crude or Gradual in procedure. Crude Induction, founded on experience in one mass (CP 2.759), presumes that future experience on a question will not differ utterly from all past experience (CP 2.756). Gradual Induction makes a new estimate of the proportion of truth in the hypothesis after each test, and is Qualitative or Quantitative. Qualitative Gradual Induction depends on estimating the relative evident weights of the various qualities of the subject class under investigation (CP 2.759; see also <i>Collected Papers of Charles Sanders Peirce</i>, 7.114–120). Quantitative Gradual Induction depends on how often, in a fair sample of instances of <i>S</i>, <i>S</i> is found actually accompanied by <i>P</i> that was predicted for <i>S</i> (CP 2.758). It depends on measurements, or statistics, or counting.</dd> <dd>iii. Sentential Induction. "...which, by Inductive reasonings, appraises the different Probations singly, then their combinations, then makes self-appraisal of these very appraisals themselves, and passes final judgment on the whole result".</dd></dl> <div class="mw-heading mw-heading4"><h4 id="Against_Cartesianism">Against Cartesianism</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=25" title="Edit section: Against Cartesianism"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce drew on the methodological implications of the <a href="#Four_incapacities">four incapacities</a>—no genuine introspection, no intuition in the sense of non-inferential cognition, no thought but in signs, and no conception of the absolutely incognizable—to attack philosophical <a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Cartesianism</a>, of which he said that:<sup id="cite_ref-SCFI_127-0" class="reference"><a href="#cite_note-SCFI-127"><span class="cite-bracket">&#91;</span>126<span class="cite-bracket">&#93;</span></a></sup> </p> <ol><li>"It teaches that philosophy must begin in universal doubt" – when, instead, we start with preconceptions, "prejudices [...] which it does not occur to us <i>can</i> be questioned", though we may find reason to question them later. "Let us not pretend to doubt in philosophy what we do not doubt in our hearts."</li> <li>"It teaches that the ultimate test of certainty is...in the individual consciousness" – when, instead, in science a theory stays on probation till agreement is reached, then it has no actual doubters left. No lone individual can reasonably hope to fulfill philosophy's multi-generational dream. When "candid and disciplined minds" continue to disagree on a theoretical issue, even the theory's author should feel doubts about it.</li> <li>It trusts to "a single thread of inference depending often upon inconspicuous premisses" – when, instead, philosophy should, "like the successful sciences", proceed only from tangible, scrutinizable premisses and trust not to any one argument but instead to "the multitude and variety of its arguments" as forming, not a chain at least as weak as its weakest link, but "a cable whose fibers", soever "slender, are sufficiently numerous and intimately connected".</li> <li>It renders many facts "absolutely inexplicable, unless to say that 'God makes them so' is to be regarded as an explanation"<sup id="cite_ref-128" class="reference"><a href="#cite_note-128"><span class="cite-bracket">&#91;</span>127<span class="cite-bracket">&#93;</span></a></sup> – when, instead, philosophy should avoid being "unidealistic",<sup id="cite_ref-129" class="reference"><a href="#cite_note-129"><span class="cite-bracket">&#91;</span>128<span class="cite-bracket">&#93;</span></a></sup> misbelieving that something real can defy or evade all possible ideas, and supposing, inevitably, "some absolutely inexplicable, unanalyzable ultimate", which explanatory surmise explains nothing and so is inadmissible.</li></ol> <div class="mw-heading mw-heading2"><h2 id="Theory_of_categories">Theory of categories</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=26" title="Edit section: Theory of categories"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Categories_(Peirce)" title="Categories (Peirce)">Categories (Peirce)</a></div> <p>On May 14, 1867, the 27-year-old Peirce presented a paper entitled "On a New List of Categories" to the <a href="/wiki/American_Academy_of_Arts_and_Sciences" title="American Academy of Arts and Sciences">American Academy of Arts and Sciences</a>, which published it the following year. The paper outlined a theory of predication, involving three universal categories that Peirce developed in response to reading <a href="/wiki/Aristotle" title="Aristotle">Aristotle</a>, <a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Immanuel Kant</a>, and <a href="/wiki/G._W._F._Hegel" class="mw-redirect" title="G. W. F. Hegel">G. W. F. Hegel</a>, categories that Peirce applied throughout his work for the rest of his life.<sup id="cite_ref-Burch_21-3" class="reference"><a href="#cite_note-Burch-21"><span class="cite-bracket">&#91;</span>20<span class="cite-bracket">&#93;</span></a></sup> Peirce scholars generally regard the "New List" as foundational or breaking the ground for Peirce's "architectonic", his blueprint for a pragmatic philosophy. In the categories one will discern, concentrated, the pattern that one finds formed by the three grades of clearness in "<a href="https://en.wikisource.org/wiki/How_to_Make_Our_Ideas_Clear" class="extiw" title="s:How to Make Our Ideas Clear">How To Make Our Ideas Clear</a>" (1878 paper foundational to pragmatism), and in numerous other trichotomies in his work. </p><p><a href="https://en.wikisource.org/wiki/On_a_New_List_of_Categories" class="extiw" title="wikisource:On a New List of Categories">"On a New List of Categories"</a> is cast as a Kantian deduction; it is short but dense and difficult to summarize. The following table is compiled from that and later works.<sup id="cite_ref-130" class="reference"><a href="#cite_note-130"><span class="cite-bracket">&#91;</span>129<span class="cite-bracket">&#93;</span></a></sup> In 1893, Peirce restated most of it for a less advanced audience.<sup id="cite_ref-131" class="reference"><a href="#cite_note-131"><span class="cite-bracket">&#91;</span>130<span class="cite-bracket">&#93;</span></a></sup> </p> <table class="wikitable" style="margin-bottom:0px"> <caption>Peirce's categories (technical name: the cenopythagorean categories)<sup id="cite_ref-cenopythagorean_132-0" class="reference"><a href="#cite_note-cenopythagorean-132"><span class="cite-bracket">&#91;</span>131<span class="cite-bracket">&#93;</span></a></sup> </caption> <tbody><tr style="background-color:#ddd"> <th scope="col">Name </th> <th abbr="characterization">Typical characterizaton </th> <th abbr="universe">As universe of experience </th> <th abbr="quantity">As quantity </th> <th abbr="definition">Technical definition </th> <th abbr="valence">Valence, "adicity" </th></tr> <tr> <td>Firstness<sup id="cite_ref-133" class="reference"><a href="#cite_note-133"><span class="cite-bracket">&#91;</span>132<span class="cite-bracket">&#93;</span></a></sup></td> <td>Quality of feeling</td> <td>Ideas, chance, possibility</td> <td>Vagueness, "some"</td> <td>Reference to a ground (a ground is a pure abstraction of a quality)<sup id="cite_ref-ground_134-0" class="reference"><a href="#cite_note-ground-134"><span class="cite-bracket">&#91;</span>133<span class="cite-bracket">&#93;</span></a></sup></td> <td>Essentially monadic (the quale, in the sense of the <i>such</i>,<sup id="cite_ref-135" class="reference"><a href="#cite_note-135"><span class="cite-bracket">&#91;</span>134<span class="cite-bracket">&#93;</span></a></sup> which has the quality) </td></tr> <tr> <td>Secondness<sup id="cite_ref-136" class="reference"><a href="#cite_note-136"><span class="cite-bracket">&#91;</span>135<span class="cite-bracket">&#93;</span></a></sup></td> <td>Reaction, resistance, (dyadic)&#160;relation</td> <td>Brute facts, actuality</td> <td>Singularity, discreteness, "<a href="/wiki/Haecceity" title="Haecceity">this</a>"</td> <td>Reference to a correlate (by its relate)</td> <td>Essentially dyadic (the relate and the correlate) </td></tr> <tr> <td>Thirdness<sup id="cite_ref-137" class="reference"><a href="#cite_note-137"><span class="cite-bracket">&#91;</span>136<span class="cite-bracket">&#93;</span></a></sup></td> <td>Representation, mediation</td> <td>Habits, laws, necessity</td> <td>Generality, continuity, "all"</td> <td>Reference to an interpretant*</td> <td>Essentially triadic (sign, object, interpretant*) </td></tr></tbody></table> <p>&#160;<i>*Note:</i> An interpretant is an interpretation (human or otherwise) in the sense of the product of an interpretive process. </p> <div class="mw-heading mw-heading2"><h2 id="Logic,_or_semiotic"><span id="Logic.2C_or_semiotic"></span>Logic, or semiotic</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=27" title="Edit section: Logic, or semiotic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In 1918 the logician <a href="/wiki/Clarence_Irving_Lewis" class="mw-redirect" title="Clarence Irving Lewis">C.&#160;I. Lewis</a> wrote, "The contributions of C.S. Peirce to symbolic logic are more numerous and varied than those of any other writer—at least in the nineteenth century."<sup id="cite_ref-138" class="reference"><a href="#cite_note-138"><span class="cite-bracket">&#91;</span>137<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Relational_logic">Relational logic</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=28" title="Edit section: Relational logic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Beginning with his first paper on the <a href="/wiki/Charles_Sanders_Peirce_bibliography#LOR1870" title="Charles Sanders Peirce bibliography">"Logic of Relatives" (1870)</a>, Peirce extended the <a href="/wiki/Theory_of_relations" class="mw-redirect" title="Theory of relations">theory of relations</a> pioneered by <a href="/wiki/Augustus_De_Morgan" title="Augustus De Morgan">Augustus De Morgan</a>.<sup id="cite_ref-139" class="reference"><a href="#cite_note-139"><span class="cite-bracket">&#91;</span>b<span class="cite-bracket">&#93;</span></a></sup> Beginning in 1940, <a href="/wiki/Alfred_Tarski" title="Alfred Tarski">Alfred Tarski</a> and his students rediscovered aspects of Peirce's larger vision of relational logic, developing the perspective of <a href="/wiki/Relation_algebra" title="Relation algebra">relation algebra</a>. </p><p>Relational logic gained applications. In mathematics, it influenced the abstract analysis of <a href="/wiki/E._H._Moore" title="E. H. Moore">E. H. Moore</a> and the <a href="/wiki/Lattice_(order)" title="Lattice (order)">lattice theory</a> of <a href="/wiki/Garrett_Birkhoff" title="Garrett Birkhoff">Garrett Birkhoff</a>. In computer science, the <a href="/wiki/Relational_model" title="Relational model">relational model</a> for <a href="/wiki/Database" title="Database">databases</a> was developed with Peircean ideas in work of <a href="/wiki/Edgar_F._Codd" title="Edgar F. Codd">Edgar F. Codd</a>, who was a doctoral student<sup id="cite_ref-140" class="reference"><a href="#cite_note-140"><span class="cite-bracket">&#91;</span>138<span class="cite-bracket">&#93;</span></a></sup> of <a href="/wiki/Arthur_W._Burks" class="mw-redirect" title="Arthur W. Burks">Arthur W. Burks</a>, a Peirce scholar. In economics, relational logic was used by <a href="/wiki/Frank_P._Ramsey" class="mw-redirect" title="Frank P. Ramsey">Frank P. Ramsey</a>, <a href="/wiki/John_von_Neumann" title="John von Neumann">John von Neumann</a>, and <a href="/wiki/Paul_Samuelson" title="Paul Samuelson">Paul Samuelson</a> to study preferences and utility and by <a href="/wiki/Kenneth_J._Arrow" class="mw-redirect" title="Kenneth J. Arrow">Kenneth J. Arrow</a> in <i><a href="/wiki/Social_Choice_and_Individual_Values" title="Social Choice and Individual Values">Social Choice and Individual Values</a></i>, following Arrow's association with Tarski at <a href="/wiki/City_College_of_New_York" title="City College of New York">City College of New York</a>. </p> <div class="mw-heading mw-heading3"><h3 id="Quantifiers">Quantifiers</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=29" title="Edit section: Quantifiers"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>On Peirce and his contemporaries <a href="/wiki/Ernst_Schr%C3%B6der_(mathematician)" title="Ernst Schröder (mathematician)">Ernst Schröder</a> and <a href="/wiki/Gottlob_Frege" title="Gottlob Frege">Gottlob Frege</a>, <a href="/wiki/Hilary_Putnam" title="Hilary Putnam">Hilary Putnam</a> (1982)<sup id="cite_ref-Putnam_92-1" class="reference"><a href="#cite_note-Putnam-92"><span class="cite-bracket">&#91;</span>91<span class="cite-bracket">&#93;</span></a></sup> documented that Frege's work on the logic of quantifiers had little influence on his contemporaries, although it was published four years before the work of Peirce and his student Oscar Howard Mitchell. Putnam found that mathematicians and logicians learned about the logic of quantifiers through the independent work of Peirce and Mitchell, particularly through Peirce's "On the Algebra of Logic: A Contribution to the Philosophy of Notation"<sup id="cite_ref-CSP1885_91-1" class="reference"><a href="#cite_note-CSP1885-91"><span class="cite-bracket">&#91;</span>90<span class="cite-bracket">&#93;</span></a></sup> (1885), published in the premier American mathematical journal of the day, and cited by <a href="/wiki/Peano" class="mw-redirect" title="Peano">Peano</a> and Schröder, among others, who ignored Frege. They also adopted and modified Peirce's notations, typographical variants of those now used. Peirce apparently was ignorant of Frege's work, despite their overlapping achievements in logic, <a href="/wiki/Philosophy_of_language" title="Philosophy of language">philosophy of language</a>, and the <a href="/wiki/Foundations_of_mathematics" title="Foundations of mathematics">foundations of mathematics</a>. </p><p>Peirce's work on formal logic had admirers besides <a href="/wiki/Ernst_Schr%C3%B6der_(mathematician)" title="Ernst Schröder (mathematician)">Ernst Schröder</a>: </p> <ul><li>Philosophical algebraist <a href="/wiki/William_Kingdon_Clifford" title="William Kingdon Clifford">William Kingdon Clifford</a><sup id="cite_ref-141" class="reference"><a href="#cite_note-141"><span class="cite-bracket">&#91;</span>139<span class="cite-bracket">&#93;</span></a></sup> and logician <a href="/wiki/William_Ernest_Johnson" title="William Ernest Johnson">William Ernest Johnson</a>, both British;</li> <li>The Polish school of logic and foundational mathematics, including <a href="/wiki/Alfred_Tarski" title="Alfred Tarski">Alfred Tarski</a>;</li> <li><a href="/wiki/Arthur_Prior" title="Arthur Prior">Arthur Prior</a>, who praised and studied Peirce's logical work in a 1964 paper<sup id="cite_ref-SP2_29-3" class="reference"><a href="#cite_note-SP2-29"><span class="cite-bracket">&#91;</span>28<span class="cite-bracket">&#93;</span></a></sup> and in <i>Formal Logic</i> (saying on page 4 that Peirce "perhaps had a keener eye for essentials than any other logician before or since").</li></ul> <div class="mw-heading mw-heading3"><h3 id="Philosophy_of_logic">Philosophy of logic</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=30" title="Edit section: Philosophy of logic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div><p> A philosophy of logic, grounded in his categories and semiotic, can be extracted from Peirce's writings and, along with Peirce's logical work more generally, is exposited and defended in Hilary Putnam (1982);<sup id="cite_ref-Putnam_92-2" class="reference"><a href="#cite_note-Putnam-92"><span class="cite-bracket">&#91;</span>91<span class="cite-bracket">&#93;</span></a></sup> the Introduction in Nathan Houser <i>et al.</i> (1997);<sup id="cite_ref-142" class="reference"><a href="#cite_note-142"><span class="cite-bracket">&#91;</span>140<span class="cite-bracket">&#93;</span></a></sup> and <a href="/wiki/Randall_Dipert" title="Randall Dipert">Randall Dipert</a>'s chapter in <a href="/wiki/Cheryl_Misak" title="Cheryl Misak">Cheryl Misak</a> (2004).<sup id="cite_ref-143" class="reference"><a href="#cite_note-143"><span class="cite-bracket">&#91;</span>141<span class="cite-bracket">&#93;</span></a></sup><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1246091330"></p><table class="sidebar nomobile nowraplinks hlist" style="width:19.5em"><tbody><tr><th class="sidebar-title" style="background:#66ccff;"><a href="/wiki/Semiotics" title="Semiotics">Semiotics</a></th></tr><tr><td class="sidebar-content" style="padding-top:0.15em;padding-bottom:0.6em;;padding:0;font-size:0.7em;line-height:0.7em;"> &#160;</td> </tr><tr><th class="sidebar-heading" style="background:#66ccff;"> General concepts</th></tr><tr><td class="sidebar-content" style="padding-top:0.15em;padding-bottom:0.6em;"> <ul><li><a href="/wiki/Sign_(semiotics)" title="Sign (semiotics)">Sign</a> <ul><li><a href="/wiki/Sign_relation" title="Sign relation">relation</a></li> <li><a href="/wiki/Sign_relational_complex" title="Sign relational complex">relational complex</a></li></ul></li> <li><a href="/wiki/Code_(semiotics)" title="Code (semiotics)">Code</a></li> <li><a href="/wiki/Confabulation" title="Confabulation">Confabulation</a></li> <li><a href="/wiki/Connotation_(semiotics)" title="Connotation (semiotics)">Connotation</a>&#160;/&#32;<a href="/wiki/Denotation_(semiotics)" title="Denotation (semiotics)">Denotation</a></li> <li><a href="/wiki/Encoding_(semiotics)" title="Encoding (semiotics)">Encoding</a>&#160;/&#32;<a href="/wiki/Decoding_(semiotics)" title="Decoding (semiotics)">Decoding</a></li> <li><a href="/wiki/Lexical_(semiotics)" class="mw-redirect" title="Lexical (semiotics)">Lexical</a></li> <li><a href="/wiki/Modality_(semiotics)" title="Modality (semiotics)">Modality</a></li> <li><a href="/wiki/Representation_(arts)" title="Representation (arts)">Representation</a></li> <li><a href="/wiki/Salience_(semiotics)" class="mw-redirect" title="Salience (semiotics)">Salience</a></li> <li><a href="/wiki/Semiosis" title="Semiosis">Semiosis</a></li> <li><a href="/wiki/Semiosphere" title="Semiosphere">Semiosphere</a></li> <li><a href="/wiki/Semiotic_theory_of_Charles_Sanders_Peirce" title="Semiotic theory of Charles Sanders Peirce">Semiotic theory of Peirce</a></li> <li><i><a href="/wiki/Umwelt" title="Umwelt">Umwelt</a></i></li> <li><a href="/wiki/Value_(semiotics)" title="Value (semiotics)">Value</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#66ccff;"> Fields</th></tr><tr><td class="sidebar-content" style="padding-top:0.15em;padding-bottom:0.6em;"> <ul><li><a href="/wiki/Biosemiotics" title="Biosemiotics">Biosemiotics</a></li> <li><a href="/wiki/Cognitive_semiotics" title="Cognitive semiotics">Cognitive semiotics</a></li> <li><a href="/wiki/Computational_semiotics" title="Computational semiotics">Computational semiotics</a></li> <li><a href="/wiki/Semiotic_literary_criticism" title="Semiotic literary criticism">Literary semiotics</a></li> <li><a href="/wiki/Semiotics_of_culture" title="Semiotics of culture">Semiotics of culture</a></li> <li><a href="/wiki/Social_semiotics" title="Social semiotics">Social semiotics</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#66ccff;"> Methods</th></tr><tr><td class="sidebar-content" style="padding-top:0.15em;padding-bottom:0.6em;"> <ul><li><a href="/wiki/Commutation_test_(semiotics)" class="mw-redirect" title="Commutation test (semiotics)">Commutation test</a></li> <li><a href="/wiki/Paradigmatic_analysis" title="Paradigmatic analysis">Paradigmatic analysis</a></li> <li><a href="/wiki/Syntagmatic_analysis" title="Syntagmatic analysis">Syntagmatic analysis</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#66ccff;"> Semioticians</th></tr><tr><td class="sidebar-content" style="padding-top:0.15em;padding-bottom:0.6em;"> <ul><li><a href="/wiki/Mikhail_Bakhtin" title="Mikhail Bakhtin">Mikhail Bakhtin</a></li> <li><a href="/wiki/Roland_Barthes" title="Roland Barthes">Roland Barthes</a></li> <li><a href="/wiki/Marcel_Danesi" title="Marcel Danesi">Marcel Danesi</a></li> <li><a href="/wiki/John_Deely" title="John Deely">John Deely</a></li> <li><a href="/wiki/Umberto_Eco" title="Umberto Eco">Umberto Eco</a></li> <li><a href="/wiki/Paolo_Fabbri_(semiotician)" title="Paolo Fabbri (semiotician)">Paolo Fabbri</a></li> <li><a href="/wiki/Gottlob_Frege" title="Gottlob Frege">Gottlob Frege</a></li> <li><a href="/wiki/Algirdas_Julien_Greimas" title="Algirdas Julien Greimas">Algirdas Julien Greimas</a></li> <li><a href="/wiki/F%C3%A9lix_Guattari" title="Félix Guattari">Félix Guattari</a></li> <li><a href="/wiki/Stuart_Hall_(cultural_theorist)" title="Stuart Hall (cultural theorist)">Stuart Hall</a></li> <li><a href="/wiki/Louis_Hjelmslev" title="Louis Hjelmslev">Louis Hjelmslev</a></li> <li><a href="/wiki/Vyacheslav_Ivanov_(philologist)" title="Vyacheslav Ivanov (philologist)">Vyacheslav Ivanov</a></li> <li><a href="/wiki/Roman_Jakobson" title="Roman Jakobson">Roman Jakobson</a></li> <li><a href="/wiki/Roberta_Kevelson" title="Roberta Kevelson">Roberta Kevelson</a></li> <li><a href="/wiki/Kalevi_Kull" title="Kalevi Kull">Kalevi Kull</a></li> <li><a href="/wiki/Juri_Lotman" title="Juri Lotman">Juri Lotman</a></li> <li><a href="/wiki/Charles_W._Morris" title="Charles W. Morris">Charles W. Morris</a></li> <li><a class="mw-selflink selflink">Charles S. Peirce</a></li> <li><a href="/wiki/Susan_Petrilli" title="Susan Petrilli">Susan Petrilli</a></li> <li><a href="/wiki/John_of_St._Thomas" title="John of St. Thomas">John Poinsot</a></li> <li><a href="/wiki/Augusto_Ponzio" title="Augusto Ponzio">Augusto Ponzio</a></li> <li><a href="/wiki/Ferdinand_de_Saussure" title="Ferdinand de Saussure">Ferdinand de Saussure</a></li> <li><a href="/wiki/Thomas_Sebeok" title="Thomas Sebeok">Thomas Sebeok</a></li> <li><a href="/wiki/Michael_Silverstein" title="Michael Silverstein">Michael Silverstein</a></li> <li><a href="/wiki/Eero_Tarasti" title="Eero Tarasti">Eero Tarasti</a></li> <li><a href="/wiki/Vladimir_Toporov" title="Vladimir Toporov">Vladimir Toporov</a></li> <li><a href="/wiki/Jakob_von_Uexk%C3%BCll" class="mw-redirect" title="Jakob von Uexküll">Jakob von Uexküll</a></li> <li><a href="/wiki/Victoria,_Lady_Welby" title="Victoria, Lady Welby">Victoria, Lady Welby</a></li></ul></td> </tr><tr><th class="sidebar-heading" style="background:#66ccff;"> Related topics</th></tr><tr><td class="sidebar-content" style="padding-top:0.15em;padding-bottom:0.6em;"> <ul><li><a href="/wiki/Copenhagen%E2%80%93Tartu_school" title="Copenhagen–Tartu school">Copenhagen–Tartu school</a></li> <li><a href="/wiki/Tartu%E2%80%93Moscow_Semiotic_School" title="Tartu–Moscow Semiotic School">Tartu–Moscow Semiotic School</a></li> <li><a href="/wiki/Structuralism" title="Structuralism">Structuralism</a></li> <li><a href="/wiki/Post-structuralism" title="Post-structuralism">Post-structuralism</a></li> <li><a href="/wiki/Deconstruction" title="Deconstruction">Deconstruction</a></li> <li><a href="/wiki/Postmodernism" title="Postmodernism">Postmodernism</a></li></ul></td> </tr><tr><td class="sidebar-navbar"><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:Semiotics" title="Template:Semiotics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Semiotics" title="Template talk:Semiotics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Semiotics" title="Special:EditPage/Template:Semiotics"><abbr title="Edit this template">e</abbr></a></li></ul></div></td></tr></tbody></table> <div class="mw-heading mw-heading4"><h4 id="Logic_as_philosophical">Logic as philosophical</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=31" title="Edit section: Logic as philosophical"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce regarded logic <i>per se</i> as a division of philosophy, as a normative science based on esthetics and ethics, as more basic than metaphysics,<sup id="cite_ref-FRL_119-1" class="reference"><a href="#cite_note-FRL-119"><span class="cite-bracket">&#91;</span>118<span class="cite-bracket">&#93;</span></a></sup> and as "the art of devising methods of research".<sup id="cite_ref-ars_144-0" class="reference"><a href="#cite_note-ars-144"><span class="cite-bracket">&#91;</span>142<span class="cite-bracket">&#93;</span></a></sup> More generally, as inference, "logic is rooted in the social principle", since inference depends on a standpoint that, in a sense, is unlimited.<sup id="cite_ref-145" class="reference"><a href="#cite_note-145"><span class="cite-bracket">&#91;</span>143<span class="cite-bracket">&#93;</span></a></sup> Peirce called (with no sense of deprecation) "mathematics of logic" much of the kind of thing which, in current research and applications, is called simply "logic". He was productive in both (philosophical) logic and logic's mathematics, which were connected deeply in his work and thought. </p><p>Peirce argued that logic is formal semiotic: the formal study of signs in the broadest sense, not only signs that are artificial, linguistic, or symbolic, but also signs that are semblances or are indexical such as reactions. Peirce held that "all this universe is perfused with signs, if it is not composed exclusively of signs",<sup id="cite_ref-146" class="reference"><a href="#cite_note-146"><span class="cite-bracket">&#91;</span>144<span class="cite-bracket">&#93;</span></a></sup> along with their representational and inferential relations. He argued that, since all thought takes time, all thought is in signs<sup id="cite_ref-QFM_147-0" class="reference"><a href="#cite_note-QFM-147"><span class="cite-bracket">&#91;</span>145<span class="cite-bracket">&#93;</span></a></sup> and sign processes ("semiosis") such as the inquiry process. He <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">divided</a> logic into: (1) speculative grammar, or stechiology, on how signs can be meaningful and, in relation to that, what kinds of signs there are, how they combine, and how some embody or incorporate others; (2) logical critic, or logic proper, on the modes of inference; and (3) speculative or <a href="/wiki/Universal_rhetoric" title="Universal rhetoric">universal rhetoric</a>, or methodeutic,<sup id="cite_ref-rhetoric_116-1" class="reference"><a href="#cite_note-rhetoric-116"><span class="cite-bracket">&#91;</span>115<span class="cite-bracket">&#93;</span></a></sup> the philosophical theory of inquiry, including pragmatism. </p> <div class="mw-heading mw-heading4"><h4 id="Presuppositions_of_logic">Presuppositions of logic</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=32" title="Edit section: Presuppositions of logic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In his "F.R.L." [First Rule of Logic] (1899), Peirce states that the first, and "in one sense, the sole", rule of reason is that, <i>to learn, one needs to desire to learn</i> and desire it without resting satisfied with that which one is inclined to think.<sup id="cite_ref-FRL_119-2" class="reference"><a href="#cite_note-FRL-119"><span class="cite-bracket">&#91;</span>118<span class="cite-bracket">&#93;</span></a></sup> So, the first rule is, <i>to wonder</i>. Peirce proceeds to a critical theme in research practices and the shaping of theories: </p> <blockquote><div class="poem"> <p>...there follows one <a href="/wiki/Corollary" title="Corollary">corollary</a> which itself deserves to be inscribed upon every wall of the city of philosophy:<br /> <span class="mw-poem-indented" style="display: inline-block; margin-inline-start: 2em;">Do not block the way of inquiry.</span> </p> </div></blockquote> <p>Peirce adds, that method and economy are best in research but no outright sin inheres in trying any theory in the sense that the investigation via its trial adoption can proceed unimpeded and undiscouraged, and that "the one unpardonable offence" is a philosophical barricade against truth's advance, an offense to which "metaphysicians in all ages have shown themselves the most addicted". Peirce in many writings holds that <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">logic precedes metaphysics</a> (ontological, religious, and physical). </p><p>Peirce goes on to list four common barriers to inquiry: (1) Assertion of absolute certainty; (2) maintaining that something is absolutely unknowable; (3) maintaining that something is absolutely inexplicable because absolutely basic or ultimate; (4) holding that perfect exactitude is possible, especially such as to quite preclude unusual and anomalous phenomena. To refuse absolute theoretical certainty is the heart of <i>fallibilism</i>, which Peirce unfolds into refusals to set up any of the listed barriers. Peirce elsewhere argues (1897) that logic's presupposition of fallibilism leads at length to the view that chance and continuity are very real (<a href="/wiki/Tychism" title="Tychism">tychism</a> and <a href="/wiki/Synechism" title="Synechism">synechism</a>).<sup id="cite_ref-FCE_102-1" class="reference"><a href="#cite_note-FCE-102"><span class="cite-bracket">&#91;</span>101<span class="cite-bracket">&#93;</span></a></sup> </p><p>The First Rule of Logic pertains to the mind's presuppositions in undertaking reason and logic; presuppositions, for instance, that truth and the real do not depend on yours or my opinion of them but do depend on representational relation and consist in the destined end in investigation taken far enough (<a href="#defs">see below</a>). He describes such ideas as, collectively, hopes which, in particular cases, one is unable seriously to doubt.<sup id="cite_ref-148" class="reference"><a href="#cite_note-148"><span class="cite-bracket">&#91;</span>146<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Four_incapacities">Four incapacities</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=33" title="Edit section: Four incapacities"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="infobox" style="padding:5px;font-size:94%;width:auto">The <i>Journal of Speculative Philosophy</i> series (1868–1869), including <ul><li>Questions concerning certain Faculties claimed for Man (1868)</li> <li>Some Consequences of Four Incapacities (1868)</li> <li>Grounds of Validity of the Laws of Logic:<br />Further Consequences of Four Incapacities (1869)</li></ul></div><p> In three articles in 1868–1869,<sup id="cite_ref-QFM_147-1" class="reference"><a href="#cite_note-QFM-147"><span class="cite-bracket">&#91;</span>145<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-SCFI_127-1" class="reference"><a href="#cite_note-SCFI-127"><span class="cite-bracket">&#91;</span>126<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-GVLL_149-0" class="reference"><a href="#cite_note-GVLL-149"><span class="cite-bracket">&#91;</span>147<span class="cite-bracket">&#93;</span></a></sup> Peirce rejected mere verbal or <a href="/wiki/Hyperbolic_doubt" class="mw-redirect" title="Hyperbolic doubt">hyperbolic doubt</a> and first or ultimate principles, and argued that we have (as he numbered them<sup id="cite_ref-SCFI_127-2" class="reference"><a href="#cite_note-SCFI-127"><span class="cite-bracket">&#91;</span>126<span class="cite-bracket">&#93;</span></a></sup>): </p><ol><li>No power of Introspection. All knowledge of the internal world comes by hypothetical reasoning from known external facts.</li> <li>No power of Intuition (cognition without logical determination by previous cognitions). No cognitive stage is absolutely first in a process. All mental action has the form of inference.</li> <li>No power of thinking without signs. A cognition must be interpreted in a subsequent cognition in order to be a cognition at all.</li> <li>No conception of the absolutely incognizable.</li></ol> <p>(The above sense of the term "intuition" is almost Kant's, said Peirce. It differs from the current looser sense that encompasses instinctive or anyway half-conscious inference.) </p><p>Peirce argued that those incapacities imply the reality of the general and of the continuous, the validity of the modes of reasoning,<sup id="cite_ref-GVLL_149-1" class="reference"><a href="#cite_note-GVLL-149"><span class="cite-bracket">&#91;</span>147<span class="cite-bracket">&#93;</span></a></sup> and the falsity of philosophical <a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Cartesianism</a> (<a href="#Against_Cartesianism">see below</a>). </p><p>Peirce rejected the conception (usually ascribed to Kant) of the unknowable thing-in-itself<sup id="cite_ref-SCFI_127-3" class="reference"><a href="#cite_note-SCFI-127"><span class="cite-bracket">&#91;</span>126<span class="cite-bracket">&#93;</span></a></sup> and later said that to "dismiss make-believes" is a prerequisite for pragmatism.<sup id="cite_ref-150" class="reference"><a href="#cite_note-150"><span class="cite-bracket">&#91;</span>148<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Logic_as_formal_semiotic">Logic as formal semiotic</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=34" title="Edit section: Logic as formal semiotic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce sought, through his wide-ranging studies through the decades, formal philosophical ways to articulate thought's processes, and also to explain the workings of science. These inextricably entangled questions of a dynamics of inquiry rooted in nature and nurture led him to develop his semiotic with very broadened conceptions of signs and inference, and, as its culmination, a theory of inquiry for the task of saying 'how science works' and devising research methods. This would be logic by the medieval definition taught for centuries: art of arts, science of sciences, having the way to the principles of all methods.<sup id="cite_ref-ars_144-1" class="reference"><a href="#cite_note-ars-144"><span class="cite-bracket">&#91;</span>142<span class="cite-bracket">&#93;</span></a></sup> Influences radiate from points on parallel lines of inquiry in <a href="/wiki/Aristotle" title="Aristotle">Aristotle</a>'s work, in such <i>loci</i> as: the basic terminology of <a href="/wiki/Psychology" title="Psychology">psychology</a> in <i><a href="/wiki/On_the_Soul" title="On the Soul">On the Soul</a></i>; the founding description of <a href="/wiki/Sign_relation" title="Sign relation">sign relations</a> in <i><a href="/wiki/On_Interpretation" title="On Interpretation">On Interpretation</a></i>; and the differentiation of <a href="/wiki/Inference" title="Inference">inference</a> into three modes that are commonly translated into English as <i><a href="/wiki/Abductive_reasoning" title="Abductive reasoning">abduction</a></i>, <i><a href="/wiki/Deductive_reasoning" title="Deductive reasoning">deduction</a></i>, and <i><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">induction</a></i>, in the <i><a href="/wiki/Prior_Analytics" title="Prior Analytics">Prior Analytics</a></i>, as well as inference by <a href="/wiki/Analogy" title="Analogy">analogy</a> (called <i>paradeigma</i> by Aristotle), which Peirce regarded as involving the other three modes. </p><p>Peirce began writing on semiotic in the 1860s, around the time when he devised his system of three categories. He called it both <i><a href="/wiki/Semiotic" class="mw-redirect" title="Semiotic">semiotic</a></i> and <i>semeiotic</i>. Both are current in singular and plural. He based it on the conception of a triadic <a href="/wiki/Sign_relation" title="Sign relation">sign relation</a>, and defined <i><a href="/wiki/Semiosis" title="Semiosis">semiosis</a></i> as "action, or influence, which is, or involves, a cooperation of <i>three</i> subjects, such as a sign, its object, and its interpretant, this tri-relative influence not being in any way resolvable into actions between pairs".<sup id="cite_ref-151" class="reference"><a href="#cite_note-151"><span class="cite-bracket">&#91;</span>149<span class="cite-bracket">&#93;</span></a></sup> As to signs in thought, Peirce emphasized the reverse: "To say, therefore, that thought cannot happen in an instant, but requires a time, is but another way of saying that every thought must be interpreted in another, or that all thought is in signs."<sup id="cite_ref-QFM_147-2" class="reference"><a href="#cite_note-QFM-147"><span class="cite-bracket">&#91;</span>145<span class="cite-bracket">&#93;</span></a></sup> </p><p>Peirce held that all thought is in signs, issuing in and from interpretation, where <i>sign</i> is the word for the broadest variety of conceivable semblances, diagrams, metaphors, symptoms, signals, designations, symbols, texts, even mental concepts and ideas, all as determinations of a mind or <i>quasi-mind</i>, that which at least functions like a mind, as in the work of crystals or bees<sup id="cite_ref-152" class="reference"><a href="#cite_note-152"><span class="cite-bracket">&#91;</span>150<span class="cite-bracket">&#93;</span></a></sup>—the focus is on sign action in general rather than on psychology, linguistics, or social studies (fields which he also pursued). </p><p>Inquiry is a kind of inference process, a manner of thinking and semiosis. Global divisions of ways for phenomena to stand as signs, and the subsumption of inquiry and thinking within inference as a sign process, enable the study of inquiry on semiotics' three levels: </p> <ol><li>Conditions for meaningfulness. Study of significatory elements and combinations, their grammar.</li> <li>Validity, conditions for true representation. Critique of arguments in their various separate modes.</li> <li>Conditions for determining interpretations. Methodology of inquiry in its mutually interacting modes.</li></ol> <p>Peirce uses examples often from common experience, but defines and discusses such things as assertion and interpretation in terms of philosophical logic. In a formal vein, Peirce said: </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p><i>On the Definition of Logic</i>. Logic is <i>formal semiotic</i>. A sign is something, <i>A</i>, which brings something, <i>B</i>, its <i>interpretant</i> sign, determined or created by it, into the same sort of correspondence (or a lower implied sort) with something, <i>C</i>, its <i>object</i>, as that in which itself stands to <i>C</i>. This definition no more involves any reference to human thought than does the definition of a line as the place within which a particle lies during a lapse of time. It is from this definition that I deduce the principles of logic by mathematical reasoning, and by mathematical reasoning that, I aver, will support criticism of <a href="/wiki/Weierstrass" class="mw-redirect" title="Weierstrass">Weierstrassian</a> severity, and that is perfectly evident. The word "formal" in the definition is also defined.<sup id="cite_ref-153" class="reference"><a href="#cite_note-153"><span class="cite-bracket">&#91;</span>151<span class="cite-bracket">&#93;</span></a></sup></p></blockquote> <div class="mw-heading mw-heading2"><h2 id="Signs">Signs</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=35" title="Edit section: Signs"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Semiotic_theory_of_Charles_Sanders_Peirce" title="Semiotic theory of Charles Sanders Peirce">Semiotic theory of Charles Sanders Peirce</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Representation_(arts)#Peirce_and_representation" title="Representation (arts)">Representation (arts) §&#160;Peirce and representation</a>, and <a href="/wiki/Sign_(semiotics)#Triadic_signs" title="Sign (semiotics)">Sign (semiotics) §&#160;Triadic signs</a></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">A list of noted writings by Peirce on signs and sign relations is at <a href="/wiki/Semiotic_theory_of_Charles_Sanders_Peirce#References_and_further_reading" title="Semiotic theory of Charles Sanders Peirce">Semiotic theory of Charles Sanders Peirce § References and further reading</a>.</div> <div class="mw-heading mw-heading3"><h3 id="Sign_relation">Sign relation</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=36" title="Edit section: Sign relation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce's theory of signs is known to be one of the most complex semiotic theories due to its generalistic claim. Anything is a sign—not absolutely as itself, but instead in some relation or other. The <i><a href="/wiki/Sign_relation" title="Sign relation">sign relation</a></i> is the key. It defines three roles encompassing (1) the sign, (2) the sign's subject matter, called its <i>object</i>, and (3) the sign's meaning or ramification as formed into a kind of effect called its <i>interpretant</i> (a further sign, for example a translation). It is an irreducible <i><a href="/wiki/Triadic_relation" class="mw-redirect" title="Triadic relation">triadic relation</a></i>, according to Peirce. The roles are distinct even when the things that fill those roles are not. The roles are but three; a sign of an object leads to one or more interpretants, and, as signs, they lead to further interpretants. </p><p><i>Extension × intension = information.</i> Two traditional approaches to sign relation, necessary though insufficient, are the way of <i><a href="/wiki/Extension_(semantics)" title="Extension (semantics)">extension</a></i> (a sign's objects, also called breadth, denotation, or application) and the way of <i><a href="/wiki/Intension" title="Intension">intension</a></i> (the objects' characteristics, qualities, attributes referenced by the sign, also called depth, <a href="/wiki/Comprehension_(logic)" title="Comprehension (logic)">comprehension</a>, significance, or connotation). Peirce adds a third, the way of <i><a href="/wiki/Logic_of_information" title="Logic of information">information</a></i>, including change of information, to integrate the other two approaches into a unified whole.<sup id="cite_ref-154" class="reference"><a href="#cite_note-154"><span class="cite-bracket">&#91;</span>152<span class="cite-bracket">&#93;</span></a></sup> For example, because of the equation above, if a term's total amount of information stays the same, then the more that the term 'intends' or signifies about objects, the fewer are the objects to which the term 'extends' or applies. </p><p><i>Determination.</i> A sign depends on its object in such a way as to represent its object—the object enables and, in a sense, determines the sign. A physically causal sense of this stands out when a sign consists in an indicative reaction. The interpretant depends likewise on both the sign and the object—an object determines a sign to determine an interpretant. But this determination is not a succession of dyadic events, like a row of toppling dominoes; sign determination is triadic. For example, an interpretant does not merely represent something which represented an object; instead an interpretant represents something <i>as</i> a sign representing the object. The object (be it a quality or fact or law or even fictional) determines the sign to an interpretant through one's collateral experience<sup id="cite_ref-collateral_155-0" class="reference"><a href="#cite_note-collateral-155"><span class="cite-bracket">&#91;</span>153<span class="cite-bracket">&#93;</span></a></sup> with the object, in which the object is found or from which it is recalled, as when a sign consists in a chance semblance of an absent object. Peirce used the word "determine" not in a strictly deterministic sense, but in a sense of "specializes", <i>bestimmt</i>,<sup id="cite_ref-determined_156-0" class="reference"><a href="#cite_note-determined-156"><span class="cite-bracket">&#91;</span>154<span class="cite-bracket">&#93;</span></a></sup> involving variable amount, like an influence.<sup id="cite_ref-Marty_157-0" class="reference"><a href="#cite_note-Marty-157"><span class="cite-bracket">&#91;</span>155<span class="cite-bracket">&#93;</span></a></sup> Peirce came to define representation and interpretation in terms of (triadic) determination.<sup id="cite_ref-158" class="reference"><a href="#cite_note-158"><span class="cite-bracket">&#91;</span>156<span class="cite-bracket">&#93;</span></a></sup> The object determines the sign to determine another sign—the interpretant—to be related to the object <i>as the sign is related to the object</i>, hence the interpretant, fulfilling its function as sign of the object, determines a further interpretant sign. The process is logically structured to perpetuate itself, and is definitive of sign, object, and interpretant in general.<sup id="cite_ref-Marty_157-1" class="reference"><a href="#cite_note-Marty-157"><span class="cite-bracket">&#91;</span>155<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Semiotic_elements">Semiotic elements</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=37" title="Edit section: Semiotic elements"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce held there are exactly three basic elements in semiosis (sign action): </p> <ol><li>A <i>sign</i> (or <i>representamen</i>)<sup id="cite_ref-159" class="reference"><a href="#cite_note-159"><span class="cite-bracket">&#91;</span>157<span class="cite-bracket">&#93;</span></a></sup> represents, in the broadest possible sense of "represents". It is something interpretable as saying something about something. It is not necessarily symbolic, linguistic, or artificial—a cloud might be a sign of rain for instance, or ruins the sign of ancient civilization.<sup id="cite_ref-160" class="reference"><a href="#cite_note-160"><span class="cite-bracket">&#91;</span>158<span class="cite-bracket">&#93;</span></a></sup> As Peirce sometimes put it (he defined <i>sign</i> at least 76 times<sup id="cite_ref-Marty_157-2" class="reference"><a href="#cite_note-Marty-157"><span class="cite-bracket">&#91;</span>155<span class="cite-bracket">&#93;</span></a></sup>), the sign stands <i>for</i> the object <i>to</i> the interpretant. A sign represents its object in some respect, which respect is the sign's <i>ground</i>.<sup id="cite_ref-ground_134-1" class="reference"><a href="#cite_note-ground-134"><span class="cite-bracket">&#91;</span>133<span class="cite-bracket">&#93;</span></a></sup></li> <li>An <i>object</i> (or <i>semiotic object</i>) is a subject matter of a sign and an interpretant. It can be anything thinkable, a quality, an occurrence, a rule, etc., even fictional, such as <a href="/wiki/Prince_Hamlet" title="Prince Hamlet">Prince Hamlet</a>.<sup id="cite_ref-fictive_161-0" class="reference"><a href="#cite_note-fictive-161"><span class="cite-bracket">&#91;</span>159<span class="cite-bracket">&#93;</span></a></sup> All of those are special or partial objects. The object most accurately is the <a href="/wiki/Universe_of_discourse" class="mw-redirect" title="Universe of discourse">universe of discourse</a> to which the partial or special object belongs.<sup id="cite_ref-fictive_161-1" class="reference"><a href="#cite_note-fictive-161"><span class="cite-bracket">&#91;</span>159<span class="cite-bracket">&#93;</span></a></sup> For instance, a perturbation of Pluto's orbit is a sign about Pluto but ultimately not only about Pluto. An object either (i) is <i>immediate</i> to a sign and is the object as represented in the sign or (ii) is a <i>dynamic</i> object, the object as it really is, on which the immediate object is founded "as on bedrock".<sup id="cite_ref-162" class="reference"><a href="#cite_note-162"><span class="cite-bracket">&#91;</span>160<span class="cite-bracket">&#93;</span></a></sup></li> <li>An <i><a href="/wiki/Interpretant" title="Interpretant">interpretant</a></i> (or <i>interpretant sign</i>) is a sign's meaning or ramification as formed into a kind of idea or effect, an interpretation, human or otherwise. An interpretant is a sign (a) of the object and (b) of the interpretant's "predecessor" (the interpreted sign) as a sign of the same object. An interpretant either (i) is <i>immediate</i> to a sign and is a kind of quality or possibility such as a word's usual meaning, or (ii) is a <i>dynamic</i> interpretant, such as a state of agitation, or (iii) is a <i>final</i> or <i>normal</i> interpretant, a sum of the lessons which a sufficiently considered sign <i>would</i> have as effects on practice, and with which an actual interpretant may at most coincide.</li></ol> <p>Some of the understanding needed by the mind depends on familiarity with the object. To know what a given sign denotes, the mind needs some experience of that sign's object, experience outside of, and collateral to, that sign or sign system. In that context Peirce speaks of collateral experience, collateral observation, collateral acquaintance, all in much the same terms.<sup id="cite_ref-collateral_155-1" class="reference"><a href="#cite_note-collateral-155"><span class="cite-bracket">&#91;</span>153<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Classes_of_signs">Classes of signs</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=38" title="Edit section: Classes of signs"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table align="right" style="clear:right;text-align:center;border:solid 1px #aaa;margin: 0 0 5px 10px"> <caption>Lines of joint classification of signs.<br />Every sign is:<sup id="cite_ref-9signs_163-0" class="reference"><a href="#cite_note-9signs-163"><span class="cite-bracket">&#91;</span>161<span class="cite-bracket">&#93;</span></a></sup> </caption> <tbody><tr> <td></td> <td>1.</td> <td></td> <td>2.</td> <td></td> <td>3. </td></tr> <tr> <td>I.</td> <td>Qualisign</td> <td><i>or</i></td> <td>Sinsign</td> <td><i>or</i></td> <td>Legisign </td></tr> <tr> <td><i>and</i></td> <td colspan="5" title="One line from qualisign down to icon. Two lines from sinsign, down to icon and index. Three lines from legisign down to icon, index, and symbol."><span typeof="mw:File"><a href="/wiki/File:Peircelines.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Peircelines.PNG/142px-Peircelines.PNG" decoding="async" width="142" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Peircelines.PNG/213px-Peircelines.PNG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Peircelines.PNG/284px-Peircelines.PNG 2x" data-file-width="288" data-file-height="24" /></a></span> </td></tr> <tr> <td>II.</td> <td>Icon</td> <td><i>or</i></td> <td>Index</td> <td><i>or</i></td> <td>Symbol </td></tr> <tr> <td><i>and</i></td> <td colspan="5" title="One line from icon down to rheme. Two lines from index, down to dicisign and rheme. Three lines from symbol, down to rheme, dicisign, and argument."><span typeof="mw:File"><a href="/wiki/File:Peircelines.PNG" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Peircelines.PNG/142px-Peircelines.PNG" decoding="async" width="142" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Peircelines.PNG/213px-Peircelines.PNG 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e9/Peircelines.PNG/284px-Peircelines.PNG 2x" data-file-width="288" data-file-height="24" /></a></span> </td></tr> <tr> <td>III.</td> <td>Rheme</td> <td><i>or</i></td> <td>Dicisign</td> <td><i>or</i></td> <td>Argument </td></tr></tbody></table> <p>Among Peirce's many sign typologies, three stand out, interlocked. The first typology depends on the sign itself, the second on how the sign stands for its denoted object, and the third on how the sign stands for its object to its interpretant. Also, each of the three typologies is a three-way division, a <a href="/wiki/Trichotomy_(philosophy)" title="Trichotomy (philosophy)">trichotomy</a>, via Peirce's three phenomenological <a href="#Theory_of_categories">categories</a>: (1) quality of feeling, (2) reaction, resistance, and (3) representation, mediation.<sup id="cite_ref-9signs_163-1" class="reference"><a href="#cite_note-9signs-163"><span class="cite-bracket">&#91;</span>161<span class="cite-bracket">&#93;</span></a></sup> </p><p>I. <i>Qualisign, sinsign, legisign</i> (also called<i> tone, token, type,</i> and also called <i>potisign, actisign, famisign</i>):<sup id="cite_ref-terms_164-0" class="reference"><a href="#cite_note-terms-164"><span class="cite-bracket">&#91;</span>162<span class="cite-bracket">&#93;</span></a></sup> This typology classifies every sign according to the sign's own phenomenological category—the qualisign is a quality, a possibility, a "First"; the sinsign is a reaction or resistance, a singular object, an actual event or fact, a "Second"; and the legisign is a habit, a rule, a representational relation, a "Third". </p><p>II. <i>Icon, index, symbol</i>: This typology, the best known one, classifies every sign according to the category of the sign's way of denoting its object—the icon (also called semblance or likeness) by a quality of its own, the index by factual connection to its object, and the symbol by a habit or rule for its interpretant. </p><p>III. <i>Rheme, dicisign, argument</i> (also called <i>sumisign, dicisign, suadisign,</i> also <i>seme, pheme, delome,</i><sup id="cite_ref-terms_164-1" class="reference"><a href="#cite_note-terms-164"><span class="cite-bracket">&#91;</span>162<span class="cite-bracket">&#93;</span></a></sup> and regarded as very broadened versions of the traditional <i>term, proposition, argument</i>): This typology classifies every sign according to the category which the interpretant attributes to the sign's way of denoting its object—the rheme, for example a term, is a sign interpreted to represent its object in respect of quality; the dicisign, for example a proposition, is a sign interpreted to represent its object in respect of fact; and the argument is a sign interpreted to represent its object in respect of habit or law. This is the culminating typology of the three, where the sign is understood as a structural element of inference. </p><p>Every sign belongs to one class or another within (I) <i>and</i> within (II) <i>and</i> within (III). Thus each of the three typologies is a three-valued parameter for every sign. The three parameters are not independent of each other; many co-classifications are absent, for reasons pertaining to the lack of either habit-taking or singular reaction in a quality, and the lack of habit-taking in a singular reaction. The result is not 27 but instead ten classes of signs fully specified at this level of analysis. </p> <div class="mw-heading mw-heading2"><h2 id="Modes_of_inference">Modes of inference</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=39" title="Edit section: Modes of inference"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Inquiry" title="Inquiry">Inquiry</a></div> <p>Borrowing a brace of concepts from <a href="/wiki/Aristotle" title="Aristotle">Aristotle</a>, Peirce examined three basic modes of <a href="/wiki/Inference" title="Inference">inference</a>—<i><a href="/wiki/Abductive_reasoning" title="Abductive reasoning">abduction</a></i>, <i><a href="/wiki/Deductive_reasoning" title="Deductive reasoning">deduction</a></i>, and <i><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">induction</a></i>—in his "critique of arguments" or "logic proper". Peirce also called abduction "retroduction", "presumption", and, earliest of all, "hypothesis". He characterized it as guessing and as inference to an explanatory hypothesis. He sometimes expounded the modes of inference by transformations of the categorical <a href="/wiki/Syllogism#Barbara_(AAA-1)" title="Syllogism">syllogism Barbara (AAA)</a>, for example in "Deduction, Induction, and Hypothesis" (1878).<sup id="cite_ref-165" class="reference"><a href="#cite_note-165"><span class="cite-bracket">&#91;</span>163<span class="cite-bracket">&#93;</span></a></sup> He does this by rearranging the <i>rule</i> (Barbara's major premise), the <i>case</i> (Barbara's minor premise), and the <i>result</i> (Barbara's conclusion): </p> <style data-mw-deduplicate="TemplateStyles:r1216972533">.mw-parser-output .col-begin{border-collapse:collapse;padding:0;color:inherit;width:100%;border:0;margin:0}.mw-parser-output .col-begin-small{font-size:90%}.mw-parser-output .col-break{vertical-align:top;text-align:left}.mw-parser-output .col-break-2{width:50%}.mw-parser-output .col-break-3{width:33.3%}.mw-parser-output .col-break-4{width:25%}.mw-parser-output .col-break-5{width:20%}@media(max-width:720px){.mw-parser-output .col-begin,.mw-parser-output .col-begin>tbody,.mw-parser-output .col-begin>tbody>tr,.mw-parser-output .col-begin>tbody>tr>td{display:block!important;width:100%!important}.mw-parser-output .col-break{padding-left:0!important}}</style><div> <table class="col-begin" role="presentation"> <tbody><tr> <td class="col-break"> <p>Deduction. </p><p><i>Rule:</i> All the beans from this bag are white. <br /> <i>Case:</i> These beans are beans from this bag. <br /> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \therefore }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2234;<!-- ∴ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \therefore }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbb8b7f072bd54b28a08d8f7ad207f9df1bf9f22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \therefore }"></span> <i>Result:</i> These beans are white. </p> </td> <td class="col-break" style="padding-left: 1%;"> <p>Induction. </p><p><i>Case:</i> These beans are &#91;randomly selected&#93; from this bag.<br /> <i>Result:</i> These beans are white.<br /> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \therefore }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2234;<!-- ∴ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \therefore }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbb8b7f072bd54b28a08d8f7ad207f9df1bf9f22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \therefore }"></span> <i>Rule:</i> All the beans from this bag are white. </p> </td> <td class="col-break" style="padding-left: 1%;"> <p>Hypothesis (Abduction). </p><p><i>Rule:</i> All the beans from this bag are white.<br /> <i>Result:</i> These beans [oddly] are white.<br /> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \therefore }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>&#x2234;<!-- ∴ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \therefore }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fbb8b7f072bd54b28a08d8f7ad207f9df1bf9f22" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:1.55ex; height:1.843ex;" alt="{\displaystyle \therefore }"></span> <i>Case:</i> These beans are from this bag. &#32; </p> </td></tr></tbody></table></div> <p>Peirce 1883 in "A Theory of Probable Inference" (<i><a href="#SIL">Studies in Logic</a></i>) equated hypothetical inference with the induction of characters of objects (as he had done in effect before<sup id="cite_ref-SCFI_127-4" class="reference"><a href="#cite_note-SCFI-127"><span class="cite-bracket">&#91;</span>126<span class="cite-bracket">&#93;</span></a></sup>). Eventually dissatisfied, by 1900 he distinguished them once and for all and also wrote that he now took the syllogistic forms and the doctrine of logical extension and comprehension as being less basic than he had thought. In 1903 he presented the following logical form for abductive inference:<sup id="cite_ref-166" class="reference"><a href="#cite_note-166"><span class="cite-bracket">&#91;</span>164<span class="cite-bracket">&#93;</span></a></sup> </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>The surprising fact, C, is observed; </p><dl><dd>But if A were true, C would be a matter of course,</dd> <dd>Hence, there is reason to suspect that A is true.</dd></dl></blockquote> <p>The logical form does not also cover induction, since induction neither depends on surprise nor proposes a new idea for its conclusion. Induction seeks facts to test a hypothesis; abduction seeks a hypothesis to account for facts. "Deduction proves that something <i>must</i> be; Induction shows that something <i>actually is</i> operative; Abduction merely suggests that something <i>may be</i>."<sup id="cite_ref-167" class="reference"><a href="#cite_note-167"><span class="cite-bracket">&#91;</span>165<span class="cite-bracket">&#93;</span></a></sup> Peirce did not remain quite convinced that one logical form covers all abduction.<sup id="cite_ref-168" class="reference"><a href="#cite_note-168"><span class="cite-bracket">&#91;</span>166<span class="cite-bracket">&#93;</span></a></sup> In his <a href="/wiki/Methodeutic" class="mw-redirect" title="Methodeutic">methodeutic</a> or theory of inquiry (see below), he portrayed abduction as an economic initiative to further inference and study, and portrayed all three modes as clarified by their coordination in essential roles in inquiry: hypothetical explanation, deductive prediction, inductive testing </p> <div class="mw-heading mw-heading2"><h2 id="Metaphysics">Metaphysics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=40" title="Edit section: Metaphysics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="infobox" style="padding:5px;font-size:94%;width:auto">Some noted articles <ul><li>The <i>Monist</i> Metaphysical Series (1891–1893) <ul><li>The Architecture of Theories (1891)</li> <li>The Doctrine of Necessity Examined (1892)</li> <li>The Law of Mind (1892)</li> <li>Man's Glassy Essence (1892)</li> <li>Evolutionary Love (1893)</li></ul></li> <li>Immortality in the Light of Synechism (1893 MS)</li></ul></div> <p>Peirce <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">divided</a> metaphysics into (1) ontology or general metaphysics, (2) <a href="https://en.wiktionary.org/wiki/psychical" class="extiw" title="wikt:psychical">psychical</a> or religious metaphysics, and (3) physical metaphysics. </p> <div class="mw-heading mw-heading3"><h3 id="Ontology">Ontology</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=41" title="Edit section: Ontology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>On the issue of universals, Peirce was a <a href="/wiki/Scotistic_realism" title="Scotistic realism">scholastic realist</a>, declaring the reality of <a href="/wiki/Problem_of_universals" title="Problem of universals">generals</a> as early as 1868.<sup id="cite_ref-169" class="reference"><a href="#cite_note-169"><span class="cite-bracket">&#91;</span>167<span class="cite-bracket">&#93;</span></a></sup> According to Peirce, his category he called "thirdness", the more general facts about the world, are extra-mental realities. Regarding <a href="/wiki/Modal_logic" title="Modal logic">modalities</a> (possibility, necessity, etc.), he came in later years to regard himself as having wavered earlier as to just how positively real the modalities are. In his 1897 "The Logic of Relatives" he wrote: </p> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>I formerly defined the possible as that which in a given state of information (real or feigned) we do not know not to be true. But this definition today seems to me only a twisted phrase which, by means of two negatives, conceals an anacoluthon. We know in advance of experience that certain things are not true, because we see they are impossible.</p></blockquote> <p>Peirce retained, as useful for some purposes, the definitions in terms of information states, but insisted that the pragmaticist is committed to a strong <a href="/wiki/Modal_realism" title="Modal realism">modal realism</a> by conceiving of objects in terms of predictive general conditional propositions about how they <i>would</i> behave under certain circumstances.<sup id="cite_ref-170" class="reference"><a href="#cite_note-170"><span class="cite-bracket">&#91;</span>168<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading4"><h4 id="Continua">Continua</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=42" title="Edit section: Continua"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Continuity and <a href="/wiki/Synechism" title="Synechism">synechism</a> are central in Peirce's philosophy: "I did not at first suppose that it was, as I gradually came to find it, the master-Key of philosophy".<sup id="cite_ref-171" class="reference"><a href="#cite_note-171"><span class="cite-bracket">&#91;</span>169<span class="cite-bracket">&#93;</span></a></sup> </p><p>From a mathematical point of view, he embraced <a href="/wiki/Infinitesimal" title="Infinitesimal">infinitesimals</a> and worked long on the mathematics of continua. He long held that the real numbers constitute a pseudo-continuum;<sup id="cite_ref-172" class="reference"><a href="#cite_note-172"><span class="cite-bracket">&#91;</span>170<span class="cite-bracket">&#93;</span></a></sup> that a true continuum is the real subject matter of <i>analysis situs</i> (<a href="/wiki/Topology" title="Topology">topology</a>); and that a true continuum of instants exceeds—and within any lapse of time has room for—any <a href="/wiki/Aleph_number" title="Aleph number">Aleph number</a> (any infinite <i>multitude</i> as he called it) of instants.<sup id="cite_ref-173" class="reference"><a href="#cite_note-173"><span class="cite-bracket">&#91;</span>171<span class="cite-bracket">&#93;</span></a></sup> </p><p>In 1908 Peirce wrote that he found that a true continuum might have or lack such room. Jérôme Havenel (2008): "It is on 26&#160;May 1908, that Peirce finally gave up his idea that in every continuum there is room for whatever collection of any multitude. From now on, there are different kinds of continua, which have different properties."<sup id="cite_ref-174" class="reference"><a href="#cite_note-174"><span class="cite-bracket">&#91;</span>172<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading3"><h3 id="Psychical_or_religious_metaphysics">Psychical or religious metaphysics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=43" title="Edit section: Psychical or religious metaphysics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce believed in God, and characterized such belief as founded in an instinct explorable in musing over the worlds of ideas, brute facts, and evolving habits—and it is a belief in God not as an <i>actual</i> or <i>existent</i> being (in Peirce's sense of those words), but all the same as a <i>real</i> being.<sup id="cite_ref-Godasreal_175-0" class="reference"><a href="#cite_note-Godasreal-175"><span class="cite-bracket">&#91;</span>173<span class="cite-bracket">&#93;</span></a></sup> In "<a href="https://en.wikisource.org/wiki/A_Neglected_Argument_for_the_Reality_of_God" class="extiw" title="s:A Neglected Argument for the Reality of God">A Neglected Argument for the Reality of God</a>" (1908),<sup id="cite_ref-NA_120-1" class="reference"><a href="#cite_note-NA-120"><span class="cite-bracket">&#91;</span>119<span class="cite-bracket">&#93;</span></a></sup> Peirce sketches, for God's reality, an argument to a hypothesis of God as the Necessary Being, a hypothesis which he describes in terms of how it would tend to develop and become compelling in musement and inquiry by a normal person who is led, by the hypothesis, to consider as being purposed the features of the worlds of ideas, brute facts, and evolving habits (for example scientific progress), such that the thought of such purposefulness will "stand or fall with the hypothesis"; meanwhile, according to Peirce, the hypothesis, in supposing an "infinitely incomprehensible" being, starts off at odds with its own nature as a purportively true conception, and so, no matter how much the hypothesis grows, it both (A) inevitably regards itself as partly true, partly vague, and as continuing to define itself without limit, and (B) inevitably has God appearing likewise vague but growing, though God as the Necessary Being is not vague or growing; but the hypothesis will hold it to be <i>more</i> false to say the opposite, that God is purposeless. Peirce also argued that the will is free<sup id="cite_ref-176" class="reference"><a href="#cite_note-176"><span class="cite-bracket">&#91;</span>174<span class="cite-bracket">&#93;</span></a></sup> and (see <a href="/wiki/Synechism" title="Synechism">Synechism</a>) that there is at least an attenuated kind of immortality. </p> <div class="mw-heading mw-heading3"><h3 id="Physical_metaphysics">Physical metaphysics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=44" title="Edit section: Physical metaphysics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Peirce held the view, which he called <a href="/wiki/Objective_idealism" title="Objective idealism">objective idealism</a>, that "matter is effete mind, inveterate habits becoming physical laws".<sup id="cite_ref-177" class="reference"><a href="#cite_note-177"><span class="cite-bracket">&#91;</span>175<span class="cite-bracket">&#93;</span></a></sup> Peirce observed that "<a href="/wiki/George_Berkeley" title="George Berkeley">Berkeley</a>'s metaphysical theories have at first sight an air of paradox and levity very unbecoming to a bishop".<sup id="cite_ref-178" class="reference"><a href="#cite_note-178"><span class="cite-bracket">&#91;</span>176<span class="cite-bracket">&#93;</span></a></sup> </p><p>Peirce asserted the reality of (1) "absolute chance" or randomness (his <a href="/wiki/Tychism" title="Tychism">tychist</a> view), (2) "mechanical necessity" or physical laws (<a href="/wiki/Ananke" title="Ananke">anancist</a> view), and (3) what he called the "law of love" (<a href="/wiki/Agapism" title="Agapism">agapist</a> view), echoing his <a href="#Theory_of_categories">categories</a> Firstness, Secondness, and Thirdness, respectively.<sup id="cite_ref-evolove_101-1" class="reference"><a href="#cite_note-evolove-101"><span class="cite-bracket">&#91;</span>100<span class="cite-bracket">&#93;</span></a></sup> He held that fortuitous variation (which he also called "sporting"), mechanical necessity, and creative love are the three modes of evolution (modes called "tychasm", "anancasm", and "agapasm")<sup id="cite_ref-179" class="reference"><a href="#cite_note-179"><span class="cite-bracket">&#91;</span>177<span class="cite-bracket">&#93;</span></a></sup> of the cosmos and its parts. He found his conception of agapasm embodied in <a href="/wiki/Lamarckism" title="Lamarckism">Lamarckian evolution</a>; the overall idea in any case is that of evolution tending toward an end or goal, and it could also be the evolution of a mind or a society; it is the kind of evolution which manifests workings of mind in some general sense. He said that overall he was a synechist, holding with reality of continuity,<sup id="cite_ref-evolove_101-2" class="reference"><a href="#cite_note-evolove-101"><span class="cite-bracket">&#91;</span>100<span class="cite-bracket">&#93;</span></a></sup> especially of space, time, and law.<sup id="cite_ref-180" class="reference"><a href="#cite_note-180"><span class="cite-bracket">&#91;</span>178<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Philosophy_of_science">Philosophy of science</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=45" title="Edit section: Philosophy of science"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">Classification of the sciences (Peirce)</a></div> <p>Peirce outlined two fields, "Cenoscopy" and "Science of Review", both of which he called philosophy. Both included philosophy about science. In 1903 he arranged them, from more to less theoretically basic, thus:<sup id="cite_ref-phil_103-1" class="reference"><a href="#cite_note-phil-103"><span class="cite-bracket">&#91;</span>102<span class="cite-bracket">&#93;</span></a></sup> </p> <ol><li>Science of Discovery. <ol><li>Mathematics.</li> <li>Cenoscopy (philosophy as discussed earlier in this article – categorial, normative, metaphysical), as First Philosophy, concerns positive phenomena in general, does not rely on findings from special sciences, and includes the <i>general</i> study of inquiry and scientific method.</li> <li>Idioscopy, or the Special Sciences (of nature and mind).</li></ol></li> <li>Science of Review, as Ultimate Philosophy, arranges "... the results of discovery, beginning with digests, and going on to endeavor to form a philosophy of science". His examples included <a href="/wiki/Alexander_von_Humboldt" title="Alexander von Humboldt">Humboldt</a>'s <i><a href="/wiki/Alexander_Von_Humboldt#Cosmos" class="mw-redirect" title="Alexander Von Humboldt">Cosmos</a></i>, <a href="/wiki/Auguste_Comte" title="Auguste Comte">Comte</a>'s <i><a href="/wiki/Course_of_Positive_Philosophy" title="Course of Positive Philosophy">Philosophie positive</a></i>, and <a href="/wiki/Herbert_Spencer" title="Herbert Spencer">Spencer</a>'s <i>Synthetic Philosophy</i>.</li> <li>Practical Science, or the Arts.</li></ol> <p>Peirce placed, within Science of Review, the work and theory of <a href="/wiki/Classification_of_the_sciences_(Peirce)" title="Classification of the sciences (Peirce)">classifying the sciences</a> (including mathematics and philosophy). His classifications, on which he worked for many years, draw on argument and wide knowledge, and are of interest both as a map for navigating his philosophy and as an accomplished polymath's survey of research in his time. </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=Charles_Sanders_Peirce&amp;action=edit&amp;section=46" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1184024115">.mw-parser-output .div-col{margin-top:0.3em;column-width:30em}.mw-parser-output .div-col-small{font-size:90%}.mw-parser-output .div-col-rules{column-rule:1px solid #aaa}.mw-parser-output .div-col dl,.mw-parser-output .div-col ol,.mw-parser-output .div-col ul{margin-top:0}.mw-parser-output .div-col li,.mw-parser-output .div-col dd{page-break-inside:avoid;break-inside:avoid-column}</style><div class="div-col" style="column-width: 20em;"> <ul><li><a href="/wiki/Howland_will_forgery_trial" title="Howland will forgery trial">Howland will forgery trial</a></li> <li><a href="/wiki/Hypostatic_abstraction" title="Hypostatic abstraction">Hypostatic abstraction</a></li> <li><a href="/wiki/Idea#Charles_Sanders_Peirce" title="Idea">Idea §&#160;Charles Sanders Peirce</a></li> <li><i><a href="/wiki/Laws_of_Form" title="Laws of Form">Laws of Form</a></i></li> <li><a href="/wiki/List_of_American_philosophers" title="List of American philosophers">List of American philosophers</a></li> <li><a href="/wiki/Logical_machine" title="Logical machine">Logical machine</a></li> <li><a href="/wiki/Logical_matrix" title="Logical matrix">Logical matrix</a></li> <li><a href="/wiki/Mathematical_psychology" title="Mathematical psychology">Mathematical psychology</a></li> <li><a href="/wiki/Normal_distribution#Naming" title="Normal distribution">Normal distribution §&#160;Naming</a></li> <li><a href="/wiki/Peircean_realism" class="mw-redirect" title="Peircean realism">Peircean realism</a></li> <li><a href="/wiki/Pragmatics" title="Pragmatics">Pragmatics</a></li> <li><a href="/wiki/Problem_of_universals#Peirce" title="Problem of universals">Problem of universals §&#160;Peirce</a></li> <li><a href="/wiki/Quantification_(science)#History" title="Quantification (science)">Quantification (science) §&#160;History</a></li> <li><a href="/wiki/Relation_algebra" title="Relation algebra">Relation algebra</a></li> <li><a href="/wiki/Truth_table" title="Truth table">Truth table</a></li> <li><a href="/wiki/Philosophy_of_science" title="Philosophy of science">Philosophy of science</a></li></ul> </div> <div class="mw-heading mw-heading3"><h3 id="Contemporaries_associated_with_Peirce">Contemporaries associated with Peirce</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Charles_Sanders_Peirce&amp;action=edit&amp;section=47" title="Edit section: Contemporaries associated with Peirce"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1184024115"><div class="div-col" style="column-width: 20em;"> <ul><li><a href="/wiki/Oliver_Wendell_Holmes_Jr." title="Oliver Wendell Holmes Jr.">Oliver Wendell Holmes Jr.</a></li> <li><a href="/wiki/George_Herbert_Mead" title="George Herbert Mead">George Herbert Mead</a></li></ul> </div> <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=Charles_Sanders_Peirce&amp;action=edit&amp;section=48" 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-lower-alpha"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text">Benjamin was one of the founders of <a href="/wiki/Linear_algebra" title="Linear algebra">linear algebra</a>.</span> </li> <li id="cite_note-139"><span class="mw-cite-backlink"><b><a href="#cite_ref-139">^</a></b></span> <span class="reference-text">Much of the mathematics of relations now taken for granted was "borrowed" from Peirce, not always with all due credit; on that and on how the young <a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a>, especially his <i>Principles of Mathematics</i> and <i><a href="/wiki/Principia_Mathematica" title="Principia Mathematica">Principia Mathematica</a></i>, did not do Peirce justice, see Anellis (1995).<sup id="cite_ref-Anellis_68-1" class="reference"><a href="#cite_note-Anellis-68"><span class="cite-bracket">&#91;</span>67<span class="cite-bracket">&#93;</span></a></sup></span> </li> </ol></div></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=Charles_Sanders_Peirce&amp;action=edit&amp;section=49" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239543626"><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-Hacking-1"><span class="mw-cite-backlink">^ <a href="#cite_ref-Hacking_1-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Hacking_1-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Hacking_1-2"><sup><i><b>c</b></i></sup></a></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="CITEREFHacking1990" class="citation book cs1"><a href="/wiki/Ian_Hacking" title="Ian Hacking">Hacking, Ian</a> (1990). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/isbn_9780521388849"><i>The Taming of Chance</i></a></span>. A Universe of Chance. <a href="/wiki/Cambridge_University_Press" title="Cambridge University Press">Cambridge University Press</a>. pp.&#160;<a rel="nofollow" class="external text" href="https://archive.org/details/isbn_9780521388849/page/200">200–215</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-52138884-9" title="Special:BookSources/978-0-52138884-9"><bdi>978-0-52138884-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Taming+of+Chance&amp;rft.series=A+Universe+of+Chance&amp;rft.pages=200-215&amp;rft.pub=Cambridge+University+Press&amp;rft.date=1990&amp;rft.isbn=978-0-52138884-9&amp;rft.aulast=Hacking&amp;rft.aufirst=Ian&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fisbn_9780521388849&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-Stigler78-2"><span class="mw-cite-backlink">^ <a href="#cite_ref-Stigler78_2-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Stigler78_2-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Stigler78_2-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Stigler78_2-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFStigler1978" class="citation journal cs1"><a href="/wiki/Stephen_Stigler" title="Stephen Stigler">Stigler, Stephen M.</a> (1978). <a rel="nofollow" class="external text" href="https://doi.org/10.1214%2Faos%2F1176344123">"Mathematical statistics in the early States"</a>. <i>Annals of Statistics</i>. <b>6</b> (2): 239–265 [248]. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1214%2Faos%2F1176344123">10.1214/aos/1176344123</a></span>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a>&#160;<a rel="nofollow" class="external text" href="https://www.jstor.org/stable/2958876">2958876</a>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a>&#160;<a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=0483118">0483118</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Annals+of+Statistics&amp;rft.atitle=Mathematical+statistics+in+the+early+States&amp;rft.volume=6&amp;rft.issue=2&amp;rft.pages=239-265+248&amp;rft.date=1978&amp;rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D483118%23id-name%3DMR&amp;rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F2958876%23id-name%3DJSTOR&amp;rft_id=info%3Adoi%2F10.1214%2Faos%2F1176344123&amp;rft.aulast=Stigler&amp;rft.aufirst=Stephen+M.&amp;rft_id=https%3A%2F%2Fdoi.org%2F10.1214%252Faos%252F1176344123&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-metr-3"><span class="mw-cite-backlink">^ <a href="#cite_ref-metr_3-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-metr_3-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCrease2009" class="citation journal cs1">Crease, Robert P. (2009). <a rel="nofollow" class="external text" href="https://archive.today/20130112162124/http://ptonline.aip.org/journals/doc/PHTOAD-ft/vol_62/iss_12/39_1.shtml?bypassSSO">"Charles Sanders Peirce and the first absolute measurement standard"</a>. <i>Physics Today</i>. <b>62</b> (12): 39–44. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2009PhT....62l..39C">2009PhT....62l..39C</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1063%2F1.3273015">10.1063/1.3273015</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a>&#160;<a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:121338356">121338356</a>. Archived from <a rel="nofollow" class="external text" href="http://ptonline.aip.org/journals/doc/PHTOAD-ft/vol_62/iss_12/39_1.shtml?bypassSSO">the original</a> on 2013-01-12. <q>In his brilliant but troubled life, Peirce was a pioneer in both <a href="/wiki/Metrology" title="Metrology">metrology</a> and philosophy.</q></cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Physics+Today&amp;rft.atitle=Charles+Sanders+Peirce+and+the+first+absolute+measurement+standard&amp;rft.volume=62&amp;rft.issue=12&amp;rft.pages=39-44&amp;rft.date=2009&amp;rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A121338356%23id-name%3DS2CID&amp;rft_id=info%3Adoi%2F10.1063%2F1.3273015&amp;rft_id=info%3Abibcode%2F2009PhT....62l..39C&amp;rft.aulast=Crease&amp;rft.aufirst=Robert+P.&amp;rft_id=http%3A%2F%2Fptonline.aip.org%2Fjournals%2Fdoc%2FPHTOAD-ft%2Fvol_62%2Fiss_12%2F39_1.shtml%3FbypassSSO&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-psych-4"><span class="mw-cite-backlink">^ <a href="#cite_ref-psych_4-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-psych_4-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFCadwallader1974" class="citation journal cs1">Cadwallader, Thomas C. (1974). "Charles S. Peirce (1839–1914): The first American experimental psychologist". <i>Journal of the History of the Behavioral Sciences</i>. <b>10</b> (3): 291–298. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1002%2F1520-6696%28197407%2910%3A3%3C291%3A%3AAID-JHBS2300100304%3E3.0.CO%3B2-N">10.1002/1520-6696(197407)10:3&#60;291::AID-JHBS2300100304&#62;3.0.CO&#59;2-N</a>. <a href="/wiki/PMID_(identifier)" class="mw-redirect" title="PMID (identifier)">PMID</a>&#160;<a rel="nofollow" class="external text" href="https://pubmed.ncbi.nlm.nih.gov/11609224">11609224</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Journal+of+the+History+of+the+Behavioral+Sciences&amp;rft.atitle=Charles+S.+Peirce+%281839%E2%80%931914%29%3A+The+first+American+experimental+psychologist&amp;rft.volume=10&amp;rft.issue=3&amp;rft.pages=291-298&amp;rft.date=1974&amp;rft_id=info%3Adoi%2F10.1002%2F1520-6696%28197407%2910%3A3%3C291%3A%3AAID-JHBS2300100304%3E3.0.CO%3B2-N&amp;rft_id=info%3Apmid%2F11609224&amp;rft.aulast=Cadwallader&amp;rft.aufirst=Thomas+C.&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-econom-5"><span class="mw-cite-backlink">^ <a href="#cite_ref-econom_5-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-econom_5-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWible2008" class="citation magazine cs1">Wible, James R. (December 2008). <a rel="nofollow" class="external text" href="http://www.ingentaconnect.com/content/rodopi/cpm/2008/00000005/00000002/art00003">"The economic mind of Charles Sanders Peirce"</a>. <i>Contemporary Pragmatism</i>. Vol.&#160;5, no.&#160;2. pp.&#160;39–67.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Contemporary+Pragmatism&amp;rft.atitle=The+economic+mind+of+Charles+Sanders+Peirce&amp;rft.volume=5&amp;rft.issue=2&amp;rft.pages=39-67&amp;rft.date=2008-12&amp;rft.aulast=Wible&amp;rft.aufirst=James+R.&amp;rft_id=http%3A%2F%2Fwww.ingentaconnect.com%2Fcontent%2Frodopi%2Fcpm%2F2008%2F00000005%2F00000002%2Fart00003&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-ling-6"><span class="mw-cite-backlink">^ <a href="#cite_ref-ling_6-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ling_6-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNöth2000" class="citation web cs1"><a href="/wiki/N%C3%B6th,_Winfried" class="mw-redirect" title="Nöth, Winfried">Nöth, Winfried</a> (2000). <a rel="nofollow" class="external text" href="http://www.digitalpeirce.fee.unicamp.br/ling.htm">"Charles Sanders Peirce, Pathfinder in Linguistics"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Charles+Sanders+Peirce%2C+Pathfinder+in+Linguistics&amp;rft.date=2000&amp;rft.aulast=N%C3%B6th&amp;rft.aufirst=Winfried&amp;rft_id=http%3A%2F%2Fwww.digitalpeirce.fee.unicamp.br%2Fling.htm&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span><br /><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFNöth2000" class="citation web cs1"><a href="/wiki/N%C3%B6th,_Winfried" class="mw-redirect" title="Nöth, Winfried">Nöth, Winfried</a> (2000). <a rel="nofollow" class="external text" href="http://www.digitalpeirce.fee.unicamp.br/">"Digital Encyclopedia of Charles S. Peirce"</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Digital+Encyclopedia+of+Charles+S.+Peirce&amp;rft.date=2000&amp;rft.aulast=N%C3%B6th&amp;rft.aufirst=Winfried&amp;rft_id=http%3A%2F%2Fwww.digitalpeirce.fee.unicamp.br%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-grads-7"><span class="mw-cite-backlink">^ <a href="#cite_ref-grads_7-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-grads_7-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-grads_7-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-grads_7-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text">Houser, Nathan (1989), "<a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v4/v4intro.htm">Introduction</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100530064901/http://www.iupui.edu/~peirce/writings/v4/v4intro.htm">Archived</a> 2010-05-30 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>", <i>Writings of Charles S. Peirce</i>, 4:xxxviii, find "Eighty-nine".</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">"Peirce", in the case of C. S. Peirce, always rhymes with the English-language word "terse" and so, in most dialects, is pronounced exactly like the English-language word "<span class="noprint"><span class="ext-phonos"><span data-nosnippet="" id="ooui-php-1" class="ext-phonos-PhonosButton noexcerpt oo-ui-widget oo-ui-widget-enabled oo-ui-buttonElement oo-ui-buttonElement-frameless oo-ui-iconElement oo-ui-labelElement oo-ui-buttonWidget" data-ooui="{&quot;_&quot;:&quot;mw.Phonos.PhonosButton&quot;,&quot;href&quot;:&quot;\/\/upload.wikimedia.org\/wikipedia\/commons\/transcoded\/c\/c5\/En-us-purse.ogg\/En-us-purse.ogg.mp3&quot;,&quot;rel&quot;:[&quot;nofollow&quot;],&quot;framed&quot;:false,&quot;icon&quot;:&quot;volumeUp&quot;,&quot;label&quot;:{&quot;html&quot;:&quot;purse&quot;},&quot;data&quot;:{&quot;ipa&quot;:&quot;&quot;,&quot;text&quot;:&quot;&quot;,&quot;lang&quot;:&quot;en&quot;,&quot;wikibase&quot;:&quot;&quot;,&quot;file&quot;:&quot;En-us-purse.ogg&quot;},&quot;classes&quot;:[&quot;ext-phonos-PhonosButton&quot;,&quot;noexcerpt&quot;]}"><a role="button" tabindex="0" href="//upload.wikimedia.org/wikipedia/commons/transcoded/c/c5/En-us-purse.ogg/En-us-purse.ogg.mp3" rel="nofollow" aria-label="Play audio" title="Play audio" class="oo-ui-buttonElement-button"><span class="oo-ui-iconElement-icon oo-ui-icon-volumeUp"></span><span class="oo-ui-labelElement-label">purse</span><span class="oo-ui-indicatorElement-indicator oo-ui-indicatorElement-noIndicator"></span></a></span><sup class="ext-phonos-attribution noexcerpt navigation-not-searchable"><a href="/wiki/File:En-us-purse.ogg" title="File:En-us-purse.ogg">ⓘ</a></sup></span></span>."</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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation news cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20160303204222/http://www.iupui.edu/~peirce/news/1_3/13_4x.htm">"Note on the Pronunciation of 'Peirce'<span class="cs1-kern-right"></span>"</a>. <i>Peirce Project Newsletter</i>. Vol.&#160;1, no.&#160;3–4. December 1994. Archived from <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/news/1_3/13_4x.htm">the original</a> on 2016-03-03<span class="reference-accessdate">. Retrieved <span class="nowrap">2009-04-06</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Peirce+Project+Newsletter&amp;rft.atitle=Note+on+the+Pronunciation+of+%27Peirce%27&amp;rft.volume=1&amp;rft.issue=3%E2%80%934&amp;rft.date=1994-12&amp;rft_id=http%3A%2F%2Fwww.iupui.edu%2F~peirce%2Fnews%2F1_3%2F13_4x.htm&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWeiss1934" class="citation encyclopaedia cs1"><a href="/wiki/Paul_Weiss_(philosopher)" title="Paul Weiss (philosopher)">Weiss, Paul</a> (1934). "Peirce, Charles Sanders". <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131103161340/http://www.cspeirce.com/menu/library/aboutcsp/weissbio.htm"><i>Dictionary of American Biography</i></a>. Arisbe. Archived from <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/aboutcsp/weissbio.htm">the original</a> on 2013-11-03<span class="reference-accessdate">. Retrieved <span class="nowrap">2007-12-12</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Peirce%2C+Charles+Sanders&amp;rft.btitle=Dictionary+of+American+Biography&amp;rft.pub=Arisbe&amp;rft.date=1934&amp;rft.aulast=Weiss&amp;rft.aufirst=Paul&amp;rft_id=http%3A%2F%2Fwww.cspeirce.com%2Fmenu%2Flibrary%2Faboutcsp%2Fweissbio.htm&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></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"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation encyclopaedia cs1">"Peirce, Benjamin: Charles Sanders". <i>Webster's Biographical Dictionary</i>. <i>Merriam-Webster</i>. Springfield, Massachusetts. 1960 [1943].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Webster%27s+Biographical+Dictionary&amp;rft.btitle=Merriam-Webster&amp;rft.place=Springfield%2C+Massachusetts&amp;rft.date=1960&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_encyclopedia" title="Template:Cite encyclopedia">cite encyclopedia</a>}}</code>: CS1 maint: location missing publisher (<a href="/wiki/Category:CS1_maint:_location_missing_publisher" title="Category:CS1 maint: location missing publisher">link</a>)</span></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="CITEREFWeiss1934" class="citation encyclopaedia cs1"><a href="/wiki/Paul_Weiss_(philosopher)" title="Paul Weiss (philosopher)">Weiss, Paul</a> (1934). "Peirce, Charles Sanders". <a rel="nofollow" class="external text" href="https://archive.org/details/dictionaryofamer019328mbp/page/403/mode/1up?q=peirce&amp;view=theater"><i>Dictionary of American Biography</i></a>. Internet Archive.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Peirce%2C+Charles+Sanders&amp;rft.btitle=Dictionary+of+American+Biography&amp;rft.pub=Internet+Archive&amp;rft.date=1934&amp;rft.aulast=Weiss&amp;rft.aufirst=Paul&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fdictionaryofamer019328mbp%2Fpage%2F403%2Fmode%2F1up%3Fq%3Dpeirce%26view%3Dtheater&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-P2M-13"><span class="mw-cite-backlink">^ <a href="#cite_ref-P2M_13-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-P2M_13-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPeirce1886" class="citation book cs1">Peirce, Charles Sanders (1886). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=DnvLHp919_wC&amp;q=Marquand">"Letter, Peirce to A. Marquand"</a>. <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/writingsofcharle0002peir/page/5"><i>Writings of Charles S. Peirce</i></a></span>. Indiana University Press. pp.&#160;5:541–543. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-25337201-7" title="Special:BookSources/978-0-25337201-7"><bdi>978-0-25337201-7</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Letter%2C+Peirce+to+A.+Marquand&amp;rft.btitle=Writings+of+Charles+S.+Peirce&amp;rft.pages=5%3A541-543&amp;rft.pub=Indiana+University+Press&amp;rft.date=1886&amp;rft.isbn=978-0-25337201-7&amp;rft.aulast=Peirce&amp;rft.aufirst=Charles+Sanders&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DDnvLHp919_wC%26q%3DMarquand&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span> See <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBurks1978" class="citation journal cs1"><a href="/wiki/Arthur_W._Burks" class="mw-redirect" title="Arthur W. Burks">Burks, Arthur W.</a> (1978). <a rel="nofollow" class="external text" href="https://projecteuclid.org/journals/bulletin-of-the-american-mathematical-society-new-series/volume-84/issue-5/Review-Charles-S-Peirce-The-new-elements-of-mathematics/bams/1183541145.full">"Charles S. Peirce, <i>The new elements of mathematics</i>"</a> <span class="cs1-format">(PDF)</span>. Book Review. <i>Bulletin of the American Mathematical Society</i>. Eprint. <b>84</b> (5): 913–918. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1090%2FS0002-9904-1978-14533-9">10.1090/S0002-9904-1978-14533-9</a></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Bulletin+of+the+American+Mathematical+Society&amp;rft.atitle=Charles+S.+Peirce%2C+The+new+elements+of+mathematics&amp;rft.volume=84&amp;rft.issue=5&amp;rft.pages=913-918&amp;rft.date=1978&amp;rft_id=info%3Adoi%2F10.1090%2FS0002-9904-1978-14533-9&amp;rft.aulast=Burks&amp;rft.aufirst=Arthur+W.&amp;rft_id=https%3A%2F%2Fprojecteuclid.org%2Fjournals%2Fbulletin-of-the-american-mathematical-society-new-series%2Fvolume-84%2Fissue-5%2FReview-Charles-S-Peirce-The-new-elements-of-mathematics%2Fbams%2F1183541145.full&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span> Also <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFHouser" class="citation book cs1">Houser, Nathan. "Introduction". <i>Writings of Charles S. Peirce</i>. Vol.&#160;5. p.&#160;xliv.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Introduction&amp;rft.btitle=Writings+of+Charles+S.+Peirce&amp;rft.pages=xliv&amp;rft.aulast=Houser&amp;rft.aufirst=Nathan&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text">Fisch, Max, "<a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v1/v1intro.htm">Introduction</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20181022143324/http://www.iupui.edu/~peirce/writings/v1/v1intro.htm">Archived</a> 2018-10-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>", <i>Writings of Charles S. Peirce</i>, 1:xvii, find phrase "One episode".</span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;40</span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text">"Peirce, Charles Sanders" (1898), <i>The National Cyclopedia of American Biography</i>, v. 8, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=1uI-AAAAYAAJ&amp;pg=PA409&amp;dq=%22Peirce%2C%20Charles%22">p. 409</a>.</span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;54–56</span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBrent1998" class="citation book cs1">Brent, Josep (1998). <i>Charles Sanders Peirce: A Life</i> (2nd&#160;ed.). Bloomington: Indiana University Press. pp.&#160;363–364. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-25321161-3" title="Special:BookSources/978-0-25321161-3"><bdi>978-0-25321161-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Charles+Sanders+Peirce%3A+A+Life&amp;rft.place=Bloomington&amp;rft.pages=363-364&amp;rft.edition=2nd&amp;rft.pub=Indiana+University+Press&amp;rft.date=1998&amp;rft.isbn=978-0-25321161-3&amp;rft.aulast=Brent&amp;rft.aufirst=Josep&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;19–20, 53, 75, 245</span> </li> <li id="cite_note-Burch-21"><span class="mw-cite-backlink">^ <a href="#cite_ref-Burch_21-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Burch_21-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Burch_21-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-Burch_21-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text">Burch, Robert (2001, 2010), "<a rel="nofollow" class="external text" href="http://plato.stanford.edu/entries/peirce/">Charles Sanders Peirce</a>", <i>Stanford Encyclopedia of Philosophy</i></span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-22">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;139</span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;61–62</span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;34</span> </li> <li id="cite_note-Menand1-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-Menand1_25-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFMenand2001" class="citation book cs1">Menand, Louis (2001). <i>The Metaphysical Club</i>. London: Flamingo. pp.&#160;161–162. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-00712690-3" title="Special:BookSources/978-0-00712690-3"><bdi>978-0-00712690-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Metaphysical+Club&amp;rft.place=London&amp;rft.pages=161-162&amp;rft.pub=Flamingo&amp;rft.date=2001&amp;rft.isbn=978-0-00712690-3&amp;rft.aulast=Menand&amp;rft.aufirst=Louis&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;69</span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-27">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;368</span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-28">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;79–81</span> </li> <li id="cite_note-SP2-29"><span class="mw-cite-backlink">^ <a href="#cite_ref-SP2_29-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-SP2_29-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-SP2_29-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-SP2_29-3"><sup><i><b>d</b></i></sup></a></span> <span class="reference-text">Moore, Edward C., and Robin, Richard S., eds., (1964), <i>Studies in the Philosophy of Charles Sanders Peirce, Second Series</i>, Amherst: U. of Massachusetts Press. On Peirce the astronomer, see Lenzen's chapter.</span> </li> <li id="cite_note-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-30">^</a></b></span> <span class="reference-text">Menand (2001), p. 201.</span> </li> <li id="cite_note-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-31">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFPeirce1879" class="citation journal cs1">Peirce, Charles Sanders (1879). <a rel="nofollow" class="external text" href="https://archive.org/details/sim_american-journal-of-mathematics_1879_2/page/n403/mode/2up">"A Quincuncial Projection of the Sphere"</a>. <i>American Journal of Mathematics</i>. <b>2</b> (4): 394–397. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.2307%2F2369491">10.2307/2369491</a>. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a>&#160;<a rel="nofollow" class="external text" href="https://www.jstor.org/stable/2369491">2369491</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=American+Journal+of+Mathematics&amp;rft.atitle=A+Quincuncial+Projection+of+the+Sphere&amp;rft.volume=2&amp;rft.issue=4&amp;rft.pages=394-397&amp;rft.date=1879&amp;rft_id=info%3Adoi%2F10.2307%2F2369491&amp;rft_id=https%3A%2F%2Fwww.jstor.org%2Fstable%2F2369491%23id-name%3DJSTOR&amp;rft.aulast=Peirce&amp;rft.aufirst=Charles+Sanders&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fsim_american-journal-of-mathematics_1879_2%2Fpage%2Fn403%2Fmode%2F2up&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-32">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;367</span> </li> <li id="cite_note-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-33">^</a></b></span> <span class="reference-text">Fisch, Max (1983), "Peirce as Scientist, mathematician, historian, Logician, and Philosopher", <i><a href="#SIL">Studies in Logic</a></i> (new edition), see p. x.</span> </li> <li id="cite_note-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-34">^</a></b></span> <span class="reference-text">See "<a rel="nofollow" class="external text" href="http://www.pep.uqam.ca/short.pep">Peirce Edition Project (UQÀM) – in short</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110706211228/http://www.pep.uqam.ca/short.pep">Archived</a> 6 July 2011 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>" from <a href="#PEP">PEP-UQÀM</a>.</span> </li> <li id="cite_note-35"><span class="mw-cite-backlink"><b><a href="#cite_ref-35">^</a></b></span> <span class="reference-text">Houser, Nathan, "<a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v5/v5intro.htm">Introduction</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110607101202/http://www.iupui.edu/~peirce/writings/v5/v5intro.htm">Archived</a> 2011-06-07 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>", <i>Writings of Charles S. Peirce</i>, 5:xxviii–xxix, find "Allison".</span> </li> <li id="cite_note-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-36">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;202</span> </li> <li id="cite_note-dipert-37"><span class="mw-cite-backlink"><b><a href="#cite_ref-dipert_37-0">^</a></b></span> <span class="reference-text">Randall R. Dipert <a rel="nofollow" class="external text" href="https://www.jstor.org/stable/40320486?seq=1">(1994) The Life and Logical Contributions of O. H. Mitchell, Peirce's Gifted Student</a></span> </li> <li id="cite_note-38"><span class="mw-cite-backlink"><b><a href="#cite_ref-38">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;150–154, 195, 279–280, 289</span> </li> <li id="cite_note-39"><span class="mw-cite-backlink"><b><a href="#cite_ref-39">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.firstthings.com/article/1993/12/003-discovering-the-american-aristotle">"Discovering the American Aristotle &#124; Edward T. Oakes"</a>. December 1993.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Discovering+the+American+Aristotle+%26%23124%3B+Edward+T.+Oakes&amp;rft.date=1993-12&amp;rft_id=https%3A%2F%2Fwww.firstthings.com%2Farticle%2F1993%2F12%2F003-discovering-the-american-aristotle&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-40"><span class="mw-cite-backlink"><b><a href="#cite_ref-40">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;xv</span> </li> <li id="cite_note-devlin_2000-41"><span class="mw-cite-backlink"><b><a href="#cite_ref-devlin_2000_41-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFDevlin2000" class="citation book cs1"><a href="/wiki/Keith_Devlin" title="Keith Devlin">Devlin, Keith</a> (2000). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/mathgene00keit"><i>The Math Gene</i></a></span>. Basic Books. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-46501619-8" title="Special:BookSources/978-0-46501619-8"><bdi>978-0-46501619-8</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Math+Gene&amp;rft.pub=Basic+Books&amp;rft.date=2000&amp;rft.isbn=978-0-46501619-8&amp;rft.aulast=Devlin&amp;rft.aufirst=Keith&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fmathgene00keit&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-42"><span class="mw-cite-backlink"><b><a href="#cite_ref-42">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;98–101</span> </li> <li id="cite_note-43"><span class="mw-cite-backlink"><b><a href="#cite_ref-43">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;141</span> </li> <li id="cite_note-44"><span class="mw-cite-backlink"><b><a href="#cite_ref-44">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;148</span> </li> <li id="cite_note-45"><span class="mw-cite-backlink"><b><a href="#cite_ref-45">^</a></b></span> <span class="reference-text">Houser, Nathan, "<a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v6/v6intro.htm">Introduction</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110607100406/http://www.iupui.edu/~peirce/writings/v6/v6intro.htm">Archived</a> 2011-06-07 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>", <i>Writings of Charles S. Peirce</i>, 6, first paragraph.</span> </li> <li id="cite_note-46"><span class="mw-cite-backlink"><b><a href="#cite_ref-46">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;123, 368</span> </li> <li id="cite_note-47"><span class="mw-cite-backlink"><b><a href="#cite_ref-47">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;150–151, 368</span> </li> <li id="cite_note-48"><span class="mw-cite-backlink"><b><a href="#cite_ref-48">^</a></b></span> <span class="reference-text">In 1885 (<a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;369); in 1890 and 1900 (p. 273); in 1891 (pp. 215–216); and in 1892 (pp. 151–152, 222).</span> </li> <li id="cite_note-49"><span class="mw-cite-backlink"><b><a href="#cite_ref-49">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;77</span> </li> <li id="cite_note-50"><span class="mw-cite-backlink"><b><a href="#cite_ref-50">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;191–192, 217, 270, 318, 321, 337.</span> </li> <li id="cite_note-51"><span class="mw-cite-backlink"><b><a href="#cite_ref-51">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;13</span> </li> <li id="cite_note-52"><span class="mw-cite-backlink"><b><a href="#cite_ref-52">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;369–374</span> </li> <li id="cite_note-53"><span class="mw-cite-backlink"><b><a href="#cite_ref-53">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;191</span> </li> <li id="cite_note-54"><span class="mw-cite-backlink"><b><a href="#cite_ref-54">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;246</span> </li> <li id="cite_note-55"><span class="mw-cite-backlink"><b><a href="#cite_ref-55">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;242</span> </li> <li id="cite_note-56"><span class="mw-cite-backlink"><b><a href="#cite_ref-56">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;271</span> </li> <li id="cite_note-57"><span class="mw-cite-backlink"><b><a href="#cite_ref-57">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;249–255</span> </li> <li id="cite_note-58"><span class="mw-cite-backlink"><b><a href="#cite_ref-58">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;371</span> </li> <li id="cite_note-59"><span class="mw-cite-backlink"><b><a href="#cite_ref-59">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;189</span> </li> <li id="cite_note-60"><span class="mw-cite-backlink"><b><a href="#cite_ref-60">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;370</span> </li> <li id="cite_note-61"><span class="mw-cite-backlink"><b><a href="#cite_ref-61">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;205–206</span> </li> <li id="cite_note-62"><span class="mw-cite-backlink"><b><a href="#cite_ref-62">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;374–376</span> </li> <li id="cite_note-63"><span class="mw-cite-backlink"><b><a href="#cite_ref-63">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;279–289</span> </li> <li id="cite_note-64"><span class="mw-cite-backlink"><b><a href="#cite_ref-64">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;261–264, 290–292, 324</span> </li> <li id="cite_note-65"><span class="mw-cite-backlink"><b><a href="#cite_ref-65">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, pp.&#160;306–307, 315–316</span> </li> <li id="cite_note-66"><span class="mw-cite-backlink"><b><a href="#cite_ref-66">^</a></b></span> <span class="reference-text">In 2018, plans have been made to erect a memorial monument for Peirce at the site of burial – see: Justin Weinberg, <a rel="nofollow" class="external text" href="http://dailynous.com/2018/03/14/proper-memorial-monument-peirce/">'A Proper Memorial Monument for Peirce'</a>, website <i><a href="/wiki/Daily_Nous" title="Daily Nous">Daily Nous</a></i>, March 14, 2018.</span> </li> <li id="cite_note-67"><span class="mw-cite-backlink"><b><a href="#cite_ref-67">^</a></b></span> <span class="reference-text">Russell, Bertrand (1959), <i>Wisdom of the West</i>, p. 276</span> </li> <li id="cite_note-Anellis-68"><span class="mw-cite-backlink">^ <a href="#cite_ref-Anellis_68-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Anellis_68-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Anellis, Irving H. (1995), "Peirce Rustled, Russell Pierced: How Charles Peirce and Bertrand Russell Viewed Each Other's Work in Logic, and an Assessment of Russell's Accuracy and Role in the Historiography of Logic", <i>Modern Logic</i> 5, 270–328. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/aboutcsp/anellis/csp&amp;br.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130924110921/http://www.cspeirce.com/menu/library/aboutcsp/anellis/csp%26br.htm">Archived</a> 2013-09-24 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-69"><span class="mw-cite-backlink"><b><a href="#cite_ref-69">^</a></b></span> <span class="reference-text">Popper, Karl (1972), <i>Objective Knowledge: An Evolutionary Approach</i>, p. 212</span> </li> <li id="cite_note-70"><span class="mw-cite-backlink"><b><a href="#cite_ref-70">^</a></b></span> <span class="reference-text">See Royce, Josiah, and Kernan, W. Fergus (1916), "Charles Sanders Peirce", <i>The Journal of Philosophy, Psychology, and Scientific Method</i> v. 13, pp. 701–709. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/aboutcsp/royce/cspobit.htm">Eprint</a></span> </li> <li id="cite_note-71"><span class="mw-cite-backlink"><b><a href="#cite_ref-71">^</a></b></span> <span class="reference-text">Ketner <i>et al.</i> (1986), <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#cb" title="Charles Sanders Peirce bibliography">Comprehensive Bibliography</a></i>, p. iii</span> </li> <li id="cite_note-72"><span class="mw-cite-backlink"><b><a href="#cite_ref-72">^</a></b></span> <span class="reference-text"><a href="/wiki/Hookway,_Christopher" class="mw-redirect" title="Hookway, Christopher">Hookway, Christopher</a> (2008), "<a rel="nofollow" class="external text" href="http://plato.stanford.edu/entries/pragmatism/">Pragmatism</a>", <i>Stanford Encyclopedia of Philosophy</i>.</span> </li> <li id="cite_note-73"><span class="mw-cite-backlink"><b><a href="#cite_ref-73">^</a></b></span> <span class="reference-text"><a href="#CITEREFBrent1998">Brent 1998</a>, p.&#160;8</span> </li> <li id="cite_note-74"><span class="mw-cite-backlink"><b><a href="#cite_ref-74">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20151204172633/http://www.iupress.indiana.edu/pages.php?pID=94&amp;CDpath=4">"Transactions of the Charles S. Peirce Society"</a>. <i>Indiana University Press Journals</i>. Archived from <a rel="nofollow" class="external text" href="http://www.iupress.indiana.edu/pages.php?pID=94&amp;CDpath=4">the original</a> on 2015-12-04<span class="reference-accessdate">. Retrieved <span class="nowrap">2017-06-17</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Indiana+University+Press+Journals&amp;rft.atitle=Transactions+of+the+Charles+S.+Peirce+Society&amp;rft_id=http%3A%2F%2Fwww.iupress.indiana.edu%2Fpages.php%3FpID%3D94%26CDpath%3D4&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-75"><span class="mw-cite-backlink"><b><a href="#cite_ref-75">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation encyclopaedia cs1">"Peirce, Benjamin: Charles Sanders". <i>Webster's Biographical Dictionary</i>. Springfield, Massachusetts. 1960 [1943].</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=bookitem&amp;rft.atitle=Peirce%2C+Benjamin%3A+Charles+Sanders&amp;rft.btitle=Webster%27s+Biographical+Dictionary&amp;rft.place=Springfield%2C+Massachusetts&amp;rft.date=1960&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_encyclopedia" title="Template:Cite encyclopedia">cite encyclopedia</a>}}</code>: CS1 maint: location missing publisher (<a href="/wiki/Category:CS1_maint:_location_missing_publisher" title="Category:CS1 maint: location missing publisher">link</a>)</span></span> </li> <li id="cite_note-Fisch-76"><span class="mw-cite-backlink"><b><a href="#cite_ref-Fisch_76-0">^</a></b></span> <span class="reference-text">Fisch, Max (1986), <i>Peirce, Semeiotic, and Pragmatism</i>, Kenneth Laine Ketner and Christian J. W. Kloesel, eds., Bloomington, Indiana: Indiana U. Press.</span> </li> <li id="cite_note-77"><span class="mw-cite-backlink"><b><a href="#cite_ref-77">^</a></b></span> <span class="reference-text">Theological Research Group in C.S. Peirce's Philosophy (Hermann Deuser, Justus-Liebig-Universität Gießen; Wilfred Härle, Philipps-Universität Marburg, Germany).</span> </li> <li id="cite_note-78"><span class="mw-cite-backlink"><b><a href="#cite_ref-78">^</a></b></span> <span class="reference-text"><i>Postmodernism and Christian Philosophy</i>. <a rel="nofollow" class="external text" href="https://www3.nd.edu/~maritain/ama/Ciapalo/Ciapalo05.pdf"><i>Quid Sit Postmodernismus?</i></a>, p. 93, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20211216161244/https://www3.nd.edu/~maritain/ama/Ciapalo/Ciapalo05.pdf"><i>archived</i>.</a></span> </li> <li id="cite_note-79"><span class="mw-cite-backlink"><b><a href="#cite_ref-79">^</a></b></span> <span class="reference-text"><a href="/wiki/Arthur_Burks" title="Arthur Burks">Burks, Arthur</a>, Introduction, <i>Collected Papers of Charles Sanders Peirce</i>, 7, p. xi.</span> </li> <li id="cite_note-80"><span class="mw-cite-backlink"><b><a href="#cite_ref-80">^</a></b></span> <span class="reference-text">Robin, Richard S. (1967), <i><a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/robin/robin.htm">Annotated Catalogue of the Papers of Charles S. Peirce</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20191027010841/http://www.iupui.edu/~peirce/robin/robin.htm">Archived</a> 2019-10-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></i>. Amherst MA: <a href="/wiki/University_of_Massachusetts_Press" title="University of Massachusetts Press">University of Massachusetts Press</a>.</span> </li> <li id="cite_note-81"><span class="mw-cite-backlink"><b><a href="#cite_ref-81">^</a></b></span> <span class="reference-text">"The manuscript material now (1997) comes to more than a hundred thousand pages. These contain many pages of no philosophical interest, but the number of pages on philosophy certainly number much more than half of that. Also, a significant but unknown number of manuscripts have been lost." – Joseph Ransdell (1997), "Some Leading Ideas of Peirce's Semiotic", <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/aboutcsp/ransdell/leading.htm#note2">end note 2</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080114022817/http://www.cspeirce.com/menu/library/aboutcsp/ransdell/leading.htm#note2">Archived</a> 2008-01-14 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, 1997 light revision of 1977 version in <i>Semiotica</i> 19:157–178.</span> </li> <li id="cite_note-82"><span class="mw-cite-backlink"><b><a href="#cite_ref-82">^</a></b></span> <span class="reference-text">Houser, Nathan, "The Fortunes and Misfortunes of the Peirce Papers", Fourth Congress of the <a href="/wiki/IASS" class="mw-redirect" title="IASS">IASS</a>, Perpignan, France, 1989. <i>Signs of Humanity</i>, v. 3, 1992, pp. 1259–1268. <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/aboutcsp/houser/fortunes.htm">Eprint</a></span> </li> <li id="cite_note-83"><span class="mw-cite-backlink"><b><a href="#cite_ref-83">^</a></b></span> <span class="reference-text">Memorandum to the President of Charles S. Peirce Society by Ahti-Veikko Pietarinen, U. of Helsinki, March 29, 2012. <a rel="nofollow" class="external text" href="http://www.helsinki.fi/~pietarin/Memorandum-Peirce%20Society-Pietarinen-2012.pdf">Eprint</a>.</span> </li> <li id="cite_note-84"><span class="mw-cite-backlink"><b><a href="#cite_ref-84">^</a></b></span> <span class="reference-text">See for example "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/collections.html">Collections of Peirce's Writings</a>" at <i>Commens</i>, U. of Helsinki.</span> </li> <li id="cite_note-85"><span class="mw-cite-backlink"><b><a href="#cite_ref-85">^</a></b></span> <span class="reference-text">See 1987 review by B. Kuklick (of <i>Peirce</i> by <a href="/wiki/Christopher_Hookway" title="Christopher Hookway">Christopher Hookway</a>), in <i>British Journal for the Philosophy of Science</i>v. 38, n. 1, pp. 117–119. <a rel="nofollow" class="external text" href="https://archive.today/20120708211504/http://bjps.oxfordjournals.org/cgi/pdf_extract/38/1/117">First page</a>.</span> </li> <li id="cite_note-86"><span class="mw-cite-backlink"><b><a href="#cite_ref-86">^</a></b></span> <span class="reference-text">Auspitz, Josiah Lee (1994), "The Wasp Leaves the Bottle: Charles Sanders Peirce", <i>The American Scholar</i>, v. 63, n. 4, Autumn 1994, 602–618. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/aboutcsp/auspitz/escape.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131103161015/http://www.cspeirce.com/menu/library/aboutcsp/auspitz/escape.htm">Archived</a> 2013-11-03 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</span> </li> <li id="cite_note-Burks-87"><span class="mw-cite-backlink">^ <a href="#cite_ref-Burks_87-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Burks_87-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text"><a href="/wiki/Arthur_W._Burks" class="mw-redirect" title="Arthur W. Burks">Burks, Arthur W.</a>, "Review: Charles S. Peirce, <i>The new elements of mathematics</i>", <i>Bulletin of the American Mathematical Society</i> v. 84, n. 5 (1978), <a rel="nofollow" class="external text" href="https://projecteuclid.orgeuclid.bams/1183541145">pp. 913–918 (PDF)</a>.</span> </li> <li id="cite_note-88"><span class="mw-cite-backlink"><b><a href="#cite_ref-88">^</a></b></span> <span class="reference-text">Peirce (1860 MS), "Orders of Infinity", <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/PEP_news_Sept2010.pdf"><i>News from the Peirce Edition Project</i>, September 2010</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130329072747/http://www.iupui.edu/~peirce/PEP_news_Sept2010.pdf">Archived</a> 2013-03-29 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> (PDF), p. 6, with the manuscript's text. Also see logic historian Irving Anellis's <a rel="nofollow" class="external text" href="http://thread.gmane.org/gmane.science.philosophy.peirce/6621/focus=6626">November 11, 2010 comment</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20170423131106/http://thread.gmane.org/gmane.science.philosophy.peirce/6621/focus=6626">Archived</a> April 23, 2017, at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> at peirce-l.</span> </li> <li id="cite_note-89"><span class="mw-cite-backlink"><b><a href="#cite_ref-89">^</a></b></span> <span class="reference-text">Peirce (MS, winter of 1880–1881), "A Boolian Algebra with One Constant", <i>Collected Papers of Charles Sanders Peirce</i>, 4.12–20, <i>Writings of Charles S. Peirce</i>, 4:218–221. Google <a rel="nofollow" class="external text" href="https://archive.org/details/writingsofcharle0002peir">Preview</a>. See Roberts, Don D. (1973), <i>The Existential Graphs of Charles S. Peirce</i>, p. 131.</span> </li> <li id="cite_note-90"><span class="mw-cite-backlink"><b><a href="#cite_ref-90">^</a></b></span> <span class="reference-text">Peirce (1881), "On the Logic of Number", <i>American Journal of Mathematics</i> v. 4, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=LQgPAAAAIAAJ&amp;pg=PA85">85–95</a>. Reprinted (CP 3.252–288), (<i>Writings of Charles S. Peirce</i>, 4:299–309). See Shields, Paul (1997), "Peirce's Axiomatization of Arithmetic", in Houser <i>et al.</i>, eds., <i>Studies in the Logic of Charles S. Peirce</i>.</span> </li> <li id="cite_note-CSP1885-91"><span class="mw-cite-backlink">^ <a href="#cite_ref-CSP1885_91-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-CSP1885_91-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1885), "On the Algebra of Logic: A Contribution to the Philosophy of Notation", <i>American Journal of Mathematics</i> 7, two parts, first part published 1885, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=lwYPAAAAIAAJ&amp;&amp;pg=PA180">180–202</a> (see Houser in <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v4/v4introx.htm#21note">linked paragraph</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160212172608/http://www.iupui.edu/~peirce/writings/v4/v4introx.htm#21note">Archived</a> 2016-02-12 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> in "Introduction" in <i>Writings of Charles S. Peirce</i>, 4). Presented, National Academy of Sciences, Newport, RI, October 14–17, 1884 (see <i>The Essential Peirce</i>, 1, <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/ep/ep1/heads/ep1heads.htm#16">Headnote 16</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20141019135652/http://www.iupui.edu/~peirce/ep/ep1/heads/ep1heads.htm#16">Archived</a> 2014-10-19 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>). 1885 is the year usually given for this work. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 3.359–403, <i>Writings of Charles S. Peirce</i>, 5:162–190, <i>The Essential Peirce</i>, 1:225–228, in part.</span> </li> <li id="cite_note-Putnam-92"><span class="mw-cite-backlink">^ <a href="#cite_ref-Putnam_92-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Putnam_92-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Putnam_92-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text">Putnam, Hilary (1982), "Peirce the Logician", <i>Historia Mathematica</i> 9, 290–301. Reprinted, pp. 252–260 in Putnam (1990), <i>Realism with a Human Face</i>, Harvard. <a rel="nofollow" class="external text" href="http://www.jfsowa.com/peirce/putnam.htm">Excerpt with article's last five pages</a>.</span> </li> <li id="cite_note-93"><span class="mw-cite-backlink"><b><a href="#cite_ref-93">^</a></b></span> <span class="reference-text">It was in Peirce's 1885 "On the Algebra of Logic". See Byrnes, John (1998), "Peirce's First-Order Logic of 1885", <i>Transactions of the Charles S. Peirce Society</i> v. 34, n. 4, pp. 949–976.</span> </li> <li id="cite_note-Brady-94"><span class="mw-cite-backlink"><b><a href="#cite_ref-Brady_94-0">^</a></b></span> <span class="reference-text">Brady, Geraldine (2000), <i>From Peirce to Skolem: A Neglected Chapter in the History of Logic</i>, North-Holland/Elsevier Science BV, Amsterdam, Netherlands.</span> </li> <li id="cite_note-95"><span class="mw-cite-backlink"><b><a href="#cite_ref-95">^</a></b></span> <span class="reference-text">See Peirce (1898), Lecture 3, "The Logic of Relatives" (not the 1897 <i>Monist</i> article), <i><a href="#RLT">Reasoning and the Logic of Things</a></i>, pp. 146–164 [151]</span> </li> <li id="cite_note-96"><span class="mw-cite-backlink"><b><a href="#cite_ref-96">^</a></b></span> <span class="reference-text">Peirce (1898), "The Logic of Mathematics in Relation to Education" in <i>Educational Review</i> v. 15, pp. <a rel="nofollow" class="external text" href="https://archive.org/stream/educationalrevie15newyuoft#page/209/mode/1up">209–216</a> (via <i>Internet Archive</i>). Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 3.553–562. See also his "The Simplest Mathematics" (1902 MS), <i>Collected Papers of Charles Sanders Peirce</i>, 4.227–323.</span> </li> <li id="cite_note-97"><span class="mw-cite-backlink"><b><a href="#cite_ref-97">^</a></b></span> <span class="reference-text">Peirce condemned the use of "certain <a href="/wiki/Likelihood_function" title="Likelihood function">likelihoods</a>" (<i>The Essential Peirce</i>, 2:108–109) even more strongly than he criticized <a href="/wiki/Bayesian_statistics" title="Bayesian statistics">Bayesian methods</a>. Peirce used <a href="/wiki/Bayesian_inference" title="Bayesian inference">Bayesian inference</a> in criticizing parapsychology (<i>Writings of Charles S. Peirce</i>, 6:76).</span> </li> <li id="cite_note-98"><span class="mw-cite-backlink"><b><a href="#cite_ref-98">^</a></b></span> <span class="reference-text">Miller, Richard W. (1975), "Propensity: Popper or Peirce?", <i><a href="/wiki/British_Journal_for_the_Philosophy_of_Science" title="British Journal for the Philosophy of Science">British Journal for the Philosophy of Science</a></i>, v. 26, n. 2, pp. 123–132. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1093%2Fbjps%2F26.2.123">10.1093/bjps/26.2.123</a>. <a rel="nofollow" class="external text" href="https://wayback.archive-it.org/all/20190412103703/https://academic.oup.com/bjps/article-abstract/26/2/123/1513234?redirectedFrom=fulltext">Eprint</a>.</span> </li> <li id="cite_note-99"><span class="mw-cite-backlink"><b><a href="#cite_ref-99">^</a></b></span> <span class="reference-text"><a href="/wiki/Susan_Haack" title="Susan Haack">Haack, Susan</a> and Kolenda, Konstantin (1977), "Two Fallibilists in Search of the Truth", <i>Proceedings of the Aristotelian Society</i>, Supplementary Volumes, v. 51, pp. 63–104. <a href="/wiki/JSTOR_(identifier)" class="mw-redirect" title="JSTOR (identifier)">JSTOR</a>&#160;<a rel="nofollow" class="external text" href="https://www.jstor.org/stable/4106816">4106816</a></span> </li> <li id="cite_note-100"><span class="mw-cite-backlink"><b><a href="#cite_ref-100">^</a></b></span> <span class="reference-text">Peirce CS, Jastrow J. <a rel="nofollow" class="external text" href="http://psychclassics.yorku.ca/Peirce/small-diffs.htm">On Small Differences in Sensation</a>. Memoirs of the National Academy of Sciences 1885; 3:73–83.</span> </li> <li id="cite_note-evolove-101"><span class="mw-cite-backlink">^ <a href="#cite_ref-evolove_101-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-evolove_101-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-evolove_101-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text">Peirce (1893), "Evolutionary Love", <i>The Monist</i> v. 3, pp. 176–200. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 6.278–317, <i>The Essential Peirce</i>, 1:352–372. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/evolove/evolove.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070520131053/http://www.cspeirce.com/menu/library/bycsp/evolove/evolove.htm">Archived</a> May 20, 2007, at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-FCE-102"><span class="mw-cite-backlink">^ <a href="#cite_ref-FCE_102-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FCE_102-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1897) "Fallibilism, Continuity, and Evolution", <i>Collected Papers of Charles Sanders Peirce</i>, 1.141–175 (<a rel="nofollow" class="external text" href="http://www.textlog.de/4248.html">Eprint</a>), placed by the <i>Collected Papers of Charles Sanders Peirce</i>, editors directly after "F.R.L." (1899, <i>Collected Papers of Charles Sanders Peirce</i>, 1.135–140).</span> </li> <li id="cite_note-phil-103"><span class="mw-cite-backlink">^ <a href="#cite_ref-phil_103-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-phil_103-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1903), <i>Collected Papers of Charles Sanders Peirce</i>, 1.180–202 and (1906) "The Basis of Pragmaticism", <i>The Essential Peirce</i>, 2:372–373, see "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/philosophy.html">Philosophy</a>" at <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-104"><span class="mw-cite-backlink"><b><a href="#cite_ref-104">^</a></b></span> <span class="reference-text">"<a rel="nofollow" class="external text" href="http://agora.phi.gvsu.edu/kap/CSP_Bibliography/CSP_norm_bib.pdf">Charles S. Peirce on Esthetics and Ethics: A Bibliography</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20030406170524/http://agora.phi.gvsu.edu/kap/CSP_Bibliography/CSP_norm_bib.pdf">Archived</a> 6 April 2003 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>" (PDF) by Kelly A. Parker in 1999.</span> </li> <li id="cite_note-105"><span class="mw-cite-backlink"><b><a href="#cite_ref-105">^</a></b></span> <span class="reference-text">Peirce (1902 MS), Carnegie Application, edited by Joseph Ransdell, <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-02.htm">Memoir 2</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131103160621/http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-02.htm">Archived</a> 2013-11-03 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, see table.</span> </li> <li id="cite_note-106"><span class="mw-cite-backlink"><b><a href="#cite_ref-106">^</a></b></span> <span class="reference-text">See <a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/esthetics.html">Esthetics</a> at <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-107"><span class="mw-cite-backlink"><b><a href="#cite_ref-107">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEco1976" class="citation journal cs1">Eco, Umberto (December 1976). "Peirce's Notion of Interpretant". <i><a href="/wiki/Modern_Language_Notes" title="Modern Language Notes">Modern Language Notes</a></i>. <b>91</b> (6).</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=article&amp;rft.jtitle=Modern+Language+Notes&amp;rft.atitle=Peirce%27s+Notion+of+Interpretant&amp;rft.volume=91&amp;rft.issue=6&amp;rft.date=1976-12&amp;rft.aulast=Eco&amp;rft.aufirst=Umberto&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-108"><span class="mw-cite-backlink"><b><a href="#cite_ref-108">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFGeorge_Frederick_Simkin1993" class="citation book cs1">George Frederick Simkin, Colin (1993). <i>Popper's Views on Natural and Social Science</i>. E.J. Brill. p.&#160;41.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Popper%27s+Views+on+Natural+and+Social+Science&amp;rft.pages=41&amp;rft.pub=E.J.+Brill&amp;rft.date=1993&amp;rft.aulast=George+Frederick+Simkin&amp;rft.aufirst=Colin&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-109"><span class="mw-cite-backlink"><b><a href="#cite_ref-109">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFAtkin" class="citation web cs1">Atkin, Albert. <a rel="nofollow" class="external text" href="https://iep.utm.edu/peirce-charles-sanders/">"Charles Sanders Peirce (1839–1914)"</a>. <a href="/wiki/Internet_Encyclopedia_of_Philosophy" title="Internet Encyclopedia of Philosophy">Internet Encyclopedia of Philosophy</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Charles+Sanders+Peirce+%281839%E2%80%931914%29&amp;rft.pub=Internet+Encyclopedia+of+Philosophy&amp;rft.aulast=Atkin&amp;rft.aufirst=Albert&amp;rft_id=https%3A%2F%2Fiep.utm.edu%2Fpeirce-charles-sanders%2F&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-110"><span class="mw-cite-backlink"><b><a href="#cite_ref-110">^</a></b></span> <span class="reference-text">James, William (1897), <i>The Will to Believe</i>, see p. 124.</span> </li> <li id="cite_note-111"><span class="mw-cite-backlink"><b><a href="#cite_ref-111">^</a></b></span> <span class="reference-text">See <a href="/wiki/Pragmaticism#Pragmaticism&#39;s_name" title="Pragmaticism">Pragmaticism#Pragmaticism's name</a> for discussion and references.</span> </li> <li id="cite_note-Induction-112"><span class="mw-cite-backlink">^ <a href="#cite_ref-Induction_112-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Induction_112-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">"That the rule of induction will hold good in the long run may be deduced from the principle that reality is only the object of the final opinion to which sufficient investigation would lead", in Peirce (1878 April), "The Probability of Induction", p. <a rel="nofollow" class="external text" href="https://archive.org/stream/popscimonthly12yoummiss#page/728/mode/1up">718</a> (via <i>Internet Archive</i> ) in <i>Popular Science Monthly</i>, v. 12, pp. 705–718. Reprinted in <i>Collected Papers of Charles Sanders Peirce</i>, 2.669–693, <i>Writings of Charles S. Peirce</i>, 3:290–305, <i>The Essential Peirce</i>, 1:155–169, elsewhere.</span> </li> <li id="cite_note-113"><span class="mw-cite-backlink"><b><a href="#cite_ref-113">^</a></b></span> <span class="reference-text">Peirce (1902), <i>Collected Papers of Charles Sanders Peirce</i>, 5.13 note 1.</span> </li> <li id="cite_note-114"><span class="mw-cite-backlink"><b><a href="#cite_ref-114">^</a></b></span> <span class="reference-text">See <i>Collected Papers of Charles Sanders Peirce</i>, 1.34 <a rel="nofollow" class="external text" href="http://www.textlog.de/4220.html">Eprint</a> (in "The Spirit of Scholasticism"), where Peirce ascribed the success of modern science less to a novel interest in verification than to the improvement of verification.</span> </li> <li id="cite_note-115"><span class="mw-cite-backlink"><b><a href="#cite_ref-115">^</a></b></span> <span class="reference-text">See <a href="/wiki/Joseph_Morton_Ransdell" title="Joseph Morton Ransdell">Joseph Ransdell</a>'s comments and his tabular list of titles of Peirce's proposed list of memoirs in 1902 for his Carnegie application, <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/l75/intro/l75intro.htm">Eprint</a></span> </li> <li id="cite_note-rhetoric-116"><span class="mw-cite-backlink">^ <a href="#cite_ref-rhetoric_116-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-rhetoric_116-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">See <a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/rhetoricspec.html">rhetoric definitions</a> at <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-117"><span class="mw-cite-backlink"><b><a href="#cite_ref-117">^</a></b></span> <span class="reference-text">Peirce (1905), "Issues of Pragmaticism", <i>The Monist</i>, v. XV, n. 4, pp. <a href="//archive.org/details/monist18instgoog/page/n532" class="extiw" title="iarchive:monist18instgoog/page/n532">481–499</a>. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 5.438–463. Also important: <i>Collected Papers of Charles Sanders Peirce</i>, 5.497–525.</span> </li> <li id="cite_note-118"><span class="mw-cite-backlink"><b><a href="#cite_ref-118">^</a></b></span> <span class="reference-text">Peirce, "Philosophy and the Conduct of Life", Lecture 1 of the 1898 Cambridge (MA) Conferences Lectures, <i>Collected Papers of Charles Sanders Peirce</i>, 1.616–648 in part and <i><a href="#RLT">Reasoning and the Logic of Things</a></i>, 105–122, reprinted in <i>The Essential Peirce</i>, 2:27–41.</span> </li> <li id="cite_note-FRL-119"><span class="mw-cite-backlink">^ <a href="#cite_ref-FRL_119-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-FRL_119-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-FRL_119-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text">Peirce (1899 MS), "F.R.L." [First Rule of Logic], <i>Collected Papers of Charles Sanders Peirce</i>, 1.135–140, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20120106071421/http://www.princeton.edu/~batke/peirce/frl_99.htm">Eprint</a></span> </li> <li id="cite_note-NA-120"><span class="mw-cite-backlink">^ <a href="#cite_ref-NA_120-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-NA_120-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1908), "<a href="https://en.wikisource.org/wiki/A_Neglected_Argument_for_the_Reality_of_God" class="extiw" title="wikisource:A Neglected Argument for the Reality of God">A Neglected Argument for the Reality of God</a>", published in large part, <i>Hibbert Journal</i> v. 7, 90–112. Reprinted with an unpublished part, <i>Collected Papers of Charles Sanders Peirce</i>, 6.452–485, <i>Selected Writings</i> pp. 358–379, <i>The Essential Peirce</i>, 2:434–450, <i>Peirce on Signs</i> 260–278.</span> </li> <li id="cite_note-121"><span class="mw-cite-backlink"><b><a href="#cite_ref-121">^</a></b></span> <span class="reference-text">See also Nubiola, Jaime (2004), "<a rel="nofollow" class="external text" href="http://www.unav.es/users/LumeNaturale.html">Il Lume Naturale: Abduction and God</a>", <i>Semiotiche</i> I/2, 91–102.</span> </li> <li id="cite_note-122"><span class="mw-cite-backlink"><b><a href="#cite_ref-122">^</a></b></span> <span class="reference-text">Peirce (c. 1906), "PAP (Prolegomena to an Apology for Pragmatism)" (MS 293), <i><a href="#NEM">The New Elements of Mathematics</a></i> v. 4, pp. 319–320, first quote under "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/abduction.html">Abduction</a>" at <i>Commens Digital Companion to C. S. Peirce</i>.</span> </li> <li id="cite_note-123"><span class="mw-cite-backlink"><b><a href="#cite_ref-123">^</a></b></span> <span class="reference-text">Peirce (1903), "Pragmatism – The Logic of Abduction", <i>Collected Papers of Charles Sanders Peirce</i>, 5.195–205, especially 196. <a rel="nofollow" class="external text" href="http://www.textlog.de/7663.html">Eprint</a>.</span> </li> <li id="cite_note-124"><span class="mw-cite-backlink"><b><a href="#cite_ref-124">^</a></b></span> <span class="reference-text">Peirce, Carnegie application, MS L75.279–280: <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-08.htm#m27">Memoir 27</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110524021101/http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-08.htm#m27">Archived</a> 2011-05-24 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Draft B.</span> </li> <li id="cite_note-econ-125"><span class="mw-cite-backlink">^ <a href="#cite_ref-econ_125-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-econ_125-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">See MS L75.329–330, from Draft D of <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-08.htm#m27">Memoir 27</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110524021101/http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-08.htm#m27">Archived</a> 2011-05-24 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> of Peirce's application to the Carnegie Institution: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>Consequently, to discover is simply to expedite an event that would occur sooner or later, if we had not troubled ourselves to make the discovery. Consequently, the art of discovery is purely a question of economics. The economics of research is, so far as logic is concerned, the leading doctrine with reference to the art of discovery. Consequently, the conduct of abduction, which is chiefly a question of heuretic and is the first question of heuretic, is to be governed by economical considerations.</p></blockquote></span> </li> <li id="cite_note-126"><span class="mw-cite-backlink"><b><a href="#cite_ref-126">^</a></b></span> <span class="reference-text">Peirce, C. S., "On the Logic of Drawing Ancient History from Documents", <i>The Essential Peirce</i>, 2, see pp. 107–109. On Twenty Questions, see 109: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>Thus, twenty skillful hypotheses will ascertain what 200,000 stupid ones might fail to do.</p></blockquote></span> </li> <li id="cite_note-SCFI-127"><span class="mw-cite-backlink">^ <a href="#cite_ref-SCFI_127-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-SCFI_127-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-SCFI_127-2"><sup><i><b>c</b></i></sup></a> <a href="#cite_ref-SCFI_127-3"><sup><i><b>d</b></i></sup></a> <a href="#cite_ref-SCFI_127-4"><sup><i><b>e</b></i></sup></a></span> <span class="reference-text">Peirce (1868), "Some Consequences of Four Incapacities", <i>Journal of Speculative Philosophy</i> v. 2, n. 3, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=YHkqP2JHJ_IC&amp;pg=RA1-PA140">pp. 140–157</a>. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 5.264–317, <i>Writings of Charles S. Peirce</i>, 2:211–242, <i>The Essential Peirce</i>, 1:28–55. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/conseq/cn-frame.htm">Eprint</a>.</span> </li> <li id="cite_note-128"><span class="mw-cite-backlink"><b><a href="#cite_ref-128">^</a></b></span> <span class="reference-text">Peirce believed in God. See section <a href="#Philosophy:_metaphysics">#Philosophy: metaphysics</a>.</span> </li> <li id="cite_note-129"><span class="mw-cite-backlink"><b><a href="#cite_ref-129">^</a></b></span> <span class="reference-text">However, Peirce disagreed with Hegelian <a href="/wiki/Absolute_idealism" title="Absolute idealism">absolute idealism</a>. See for example <i>Collected Papers of Charles Sanders Peirce</i>, 8.131.</span> </li> <li id="cite_note-130"><span class="mw-cite-backlink"><b><a href="#cite_ref-130">^</a></b></span> <span class="reference-text">See in "Firstness", "Secondness", and "Thirdness" in <a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/dictionary.html"><i>Commens Digital Companion to C.S. Peirce</i></a>.</span> </li> <li id="cite_note-131"><span class="mw-cite-backlink"><b><a href="#cite_ref-131">^</a></b></span> <span class="reference-text">Peirce (1893), "The Categories" MS 403. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/bycsp.htm#NLOC-R">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140731071800/http://cspeirce.com/menu/library/bycsp/bycsp.htm#NLOC-R">Archived</a> 2014-07-31 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, edited by <a href="/wiki/Joseph_Morton_Ransdell" title="Joseph Morton Ransdell">Joseph Ransdell</a>, with information on the re-write, and interleaved with the 1867 "New List" for comparison.</span> </li> <li id="cite_note-cenopythagorean-132"><span class="mw-cite-backlink"><b><a href="#cite_ref-cenopythagorean_132-0">^</a></b></span> <span class="reference-text">"Minute Logic", CP 2.87, c. 1902 and A Letter to Lady Welby, CP 8.329, 1904. See relevant quotes under "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/categories.html">Categories, Cenopythagorean Categories</a>" in <i>Commens Dictionary of Peirce's Terms</i> (CDPT), Bergman &amp; Paalova, eds., U. of Helsinki.</span> </li> <li id="cite_note-133"><span class="mw-cite-backlink"><b><a href="#cite_ref-133">^</a></b></span> <span class="reference-text">See quotes under "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/firstness.html">Firstness, First &#91;as a category&#93;</a>" in CDPT.</span> </li> <li id="cite_note-ground-134"><span class="mw-cite-backlink">^ <a href="#cite_ref-ground_134-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ground_134-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">The ground <i><b>blackness</b></i> is the pure abstraction of the quality <i><b>black</b></i>. Something <i><b>black</b></i> is something <i><b>embodying blackness</b></i>, pointing us back to the abstraction. The quality <i><b>black</b></i> amounts to reference to its own pure abstraction, the ground <i><b>blackness</b></i>. The question is not merely of <i>noun</i> (the ground) versus <i>adjective</i> (the quality), but rather of whether we are considering the black(ness) as abstracted away from application to an object, or instead as so applied (for instance to a stove). Yet note that Peirce's distinction here is not that between a property-general and a property-individual (a <a href="/wiki/Trope_(philosophy)" title="Trope (philosophy)">trope</a>). See "<a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/newlist/nl-frame.htm">On a New List of Categories</a>" (1867), in the section appearing in CP 1.551. Regarding the ground, cf. the Scholastic conception of a relation's <i>foundation</i>, Google limited preview <a rel="nofollow" class="external text" href="https://books.google.com/books?id=fSzt6_-ce-gC&amp;pg=PA61&amp;dq=%22Introducing+Semiotic%22+foundation+ground&amp;sig=kgh62kOzOoFrCOYyAV04YxJ0SOo#PPA61">Deely 1982, p. 61</a>.</span> </li> <li id="cite_note-135"><span class="mw-cite-backlink"><b><a href="#cite_ref-135">^</a></b></span> <span class="reference-text">A quale in this sense is a <i>such</i>, just as a quality is a suchness. Cf. under "Use of Letters" in §3 of Peirce's "Description of a Notation for the Logic of Relatives", <i>Memoirs of the American Academy</i>, v. 9, pp. 317–378 (1870), separately reprinted (1870), from which see <a rel="nofollow" class="external text" href="https://books.google.com/books?id=fFnWmf5oLaoC&amp;pg=PA6">p. 6 via Google books</a>, also reprinted in CP 3.63:<link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>Now logical terms are of three grand classes. The first embraces those whose <a href="/wiki/Logical_form" title="Logical form">logical form</a> involves only the conception of quality, and which therefore represent a thing simply as "a —." These discriminate objects in the most rudimentary way, which does not involve any consciousness of discrimination. They regard an object as it is in itself as <i>such</i> (<i>quale</i>); for example, as horse, tree, or man. These are <i>absolute terms</i>. (Peirce, 1870. But also see "Quale-Consciousness", 1898, in CP 6.222–237.)</p></blockquote></span> </li> <li id="cite_note-136"><span class="mw-cite-backlink"><b><a href="#cite_ref-136">^</a></b></span> <span class="reference-text">See quotes under "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/secondness.html">Secondness, Second &#91;as a category&#93;</a>" in CDPT.</span> </li> <li id="cite_note-137"><span class="mw-cite-backlink"><b><a href="#cite_ref-137">^</a></b></span> <span class="reference-text">See quotes under "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/thirdness.html">Thirdness, Third &#91;as a category&#93;</a>" in CDPT.</span> </li> <li id="cite_note-138"><span class="mw-cite-backlink"><b><a href="#cite_ref-138">^</a></b></span> <span class="reference-text">Lewis, Clarence Irving (1918), <i>A Survey of Symbolic Logic</i>, see ch. 1, §7 "Peirce", pp. 79–106, see <a rel="nofollow" class="external text" href="https://archive.org/stream/surveyofsymbolic00lewiiala#page/79/mode/1up">p. 79</a> (<i>Internet Archive</i>). Note that Lewis's bibliography lists works by Frege, tagged with asterisks as important.</span> </li> <li id="cite_note-140"><span class="mw-cite-backlink"><b><a href="#cite_ref-140">^</a></b></span> <span class="reference-text">Avery, John (2003) <i>Information theory and evolution</i>, p. 167; also Mitchell, Melanie, "<a rel="nofollow" class="external text" href="http://web.cecs.pdx.edu/~mm/MMScientificAncestry.html">My Scientific Ancestry</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20141008181914/http://web.cecs.pdx.edu/~mm/MMScientificAncestry.html">Archived</a> October 8, 2014, at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>".</span> </li> <li id="cite_note-141"><span class="mw-cite-backlink"><b><a href="#cite_ref-141">^</a></b></span> <span class="reference-text">Beil, Ralph G. and Ketner, Kenneth (2003), "Peirce, Clifford, and Quantum Theory", <i>International Journal of Theoretical Physics</i> v. 42, n. 9, pp. 1957–1972.</span> </li> <li id="cite_note-142"><span class="mw-cite-backlink"><b><a href="#cite_ref-142">^</a></b></span> <span class="reference-text">Houser, Roberts, and Van Evra, eds. (1997), <i>Studies in the Logic of Charles Sanders Peirce</i>, Indiana U., Bloomington, IN.</span> </li> <li id="cite_note-143"><span class="mw-cite-backlink"><b><a href="#cite_ref-143">^</a></b></span> <span class="reference-text">Misak, ed. (2004), <i>The Cambridge Companion to Peirce</i>, Cambridge U., UK.</span> </li> <li id="cite_note-ars-144"><span class="mw-cite-backlink">^ <a href="#cite_ref-ars_144-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-ars_144-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1882), "Introductory Lecture on the Study of Logic" delivered September 1882, <i>Johns Hopkins University Circulars</i>, v. 2, n. 19, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=E0YFAAAAQAAJ&amp;pg=PA11&amp;dq=%22art+of+devising+methods+of+research%22">11–12</a> (via Google), November 1882. Reprinted (<i>The Essential Peirce</i>, 1:210–214; <i>Writings of Charles S. Peirce</i>, 4:378–382; <i>Collected Papers of Charles Sanders Peirce</i>, 7.59–76). The definition of logic quoted by Peirce is by <a href="/wiki/Peter_of_Spain_(author)" class="mw-redirect" title="Peter of Spain (author)">Peter of Spain</a>.</span> </li> <li id="cite_note-145"><span class="mw-cite-backlink"><b><a href="#cite_ref-145">^</a></b></span> <span class="reference-text">Peirce (1878), "The Doctrine of Chances", <i>Popular Science Monthly</i>, v. 12, pp. 604–615 (CP 2.645–668, <i>Writings of Charles S. Peirce</i>, 3:276–290, <i>The Essential Peirce</i>, 1:142–154). <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>...&#160;death makes the number of our risks, the number of our inferences, finite, and so makes their mean result uncertain. The very idea of probability and of reasoning rests on the assumption that this number is indefinitely great. ... logicality inexorably requires that our interests shall <i>not</i> be limited. ... Logic is rooted in the social principle.</p></blockquote></span> </li> <li id="cite_note-146"><span class="mw-cite-backlink"><b><a href="#cite_ref-146">^</a></b></span> <span class="reference-text">Peirce, <i>Collected Papers of Charles Sanders Peirce</i>, 5.448 footnote, from "The Basis of Pragmaticism" in 1906.</span> </li> <li id="cite_note-QFM-147"><span class="mw-cite-backlink">^ <a href="#cite_ref-QFM_147-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-QFM_147-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-QFM_147-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text">Peirce, (1868), "Questions concerning certain Faculties claimed for Man", <i>Journal of Speculative Philosophy</i> v. 2, n. 2, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=YHkqP2JHJ_IC&amp;pg=RA1-PA103">pp. 103–114</a>. On thought in signs, see p. 112. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 5.213–263 (on thought in signs, see 253), <i>Writings of Charles S. Peirce</i>, 2:193–211, <i>The Essential Peirce</i>, 2:11–27. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/question/qu-frame.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20071014064210/http://cspeirce.com/menu/library/bycsp/question/qu-frame.htm">Archived</a> 2007-10-14 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</span> </li> <li id="cite_note-148"><span class="mw-cite-backlink"><b><a href="#cite_ref-148">^</a></b></span> <span class="reference-text">Peirce (1902), The Carnegie Institute Application, Memoir 10, MS L75.361–362, <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-04.htm#m10">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110524021037/http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-04.htm#m10">Archived</a> 2011-05-24 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</span> </li> <li id="cite_note-GVLL-149"><span class="mw-cite-backlink">^ <a href="#cite_ref-GVLL_149-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-GVLL_149-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce, "Grounds of Validity of the Laws of Logic: Further Consequences of Four Incapacities", <i>Journal of Speculative Philosophy</i> v. II, n. 4, <a rel="nofollow" class="external text" href="https://books.google.com/books?id=YHkqP2JHJ_IC&amp;pg=RA1-PA193">pp. 193–208</a>. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 5.318–357, <i>Writings of Charles S. Peirce</i>, 2:242–272 (<i>Peirce Edition Project</i>, <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v2/w2/w2_23/v2_23.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100528064903/http://www.iupui.edu/~peirce/writings/v2/w2/w2_23/v2_23.htm">Archived</a> 2010-05-28 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>), <i>The Essential Peirce</i>, 1:56–82.</span> </li> <li id="cite_note-150"><span class="mw-cite-backlink"><b><a href="#cite_ref-150">^</a></b></span> <span class="reference-text">Peirce (1905), "What Pragmatism Is", <i>The Monist</i>, v. XV, n. 2, pp. 161–181, <a rel="nofollow" class="external text" href="https://archive.org/details/monist18instgoog/page/n201">see 167</a>. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 5.411–437, see 416. <i>Arisbe</i> <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/whatis/whatpragis.htm">Eprint</a>.</span> </li> <li id="cite_note-151"><span class="mw-cite-backlink"><b><a href="#cite_ref-151">^</a></b></span> <span class="reference-text">Peirce 1907, <i>Collected Papers of Charles Sanders Peirce</i>, 5.484. Reprinted, <i>The Essential Peirce</i>, 2:411 in "Pragmatism" (398–433).</span> </li> <li id="cite_note-152"><span class="mw-cite-backlink"><b><a href="#cite_ref-152">^</a></b></span> <span class="reference-text">See "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/quasimind.html">Quasi-mind</a>" in <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-153"><span class="mw-cite-backlink"><b><a href="#cite_ref-153">^</a></b></span> <span class="reference-text">Peirce, "Carnegie Application", <i><a href="#NEM">The New Elements of Mathematics</a></i> v. 4, p. 54.</span> </li> <li id="cite_note-154"><span class="mw-cite-backlink"><b><a href="#cite_ref-154">^</a></b></span> <span class="reference-text">Peirce (1867), "Upon Logical Comprehension and Extension" (CP 2.391–426), (<a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v2/w2/w2_06/v2_06.htm"><i>Writings of Charles S. Peirce</i>, 2:70–86</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20191209161818/http://www.iupui.edu/~peirce/writings/v2/w2/w2_06/v2_06.htm">Archived</a> 2019-12-09 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>).</span> </li> <li id="cite_note-collateral-155"><span class="mw-cite-backlink">^ <a href="#cite_ref-collateral_155-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-collateral_155-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">See pp. 404–409 in "Pragmatism" in <i>The Essential Peirce</i>, 2. Ten quotes on collateral experience from Peirce provided by Joseph Ransdell can be viewed <a rel="nofollow" class="external text" href="http://lyris.ttu.edu/read/messages?id=57101">here</a> at peirce-l's Lyris archive. Note: Ransdell's quotes from <i>Collected Papers of Charles Sanders Peirce</i>, 8.178–179 are also in <i>The Essential Peirce</i>, 2:493–494, which gives their date as 1909; and his quote from <i>Collected Papers of Charles Sanders Peirce</i>, 8.183 is also in <i>The Essential Peirce</i>, 2:495–496, which gives its date as 1909.</span> </li> <li id="cite_note-determined-156"><span class="mw-cite-backlink"><b><a href="#cite_ref-determined_156-0">^</a></b></span> <span class="reference-text">Peirce, letter to William James, dated 1909, see <i>The Essential Peirce</i>, 2:492.</span> </li> <li id="cite_note-Marty-157"><span class="mw-cite-backlink">^ <a href="#cite_ref-Marty_157-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-Marty_157-1"><sup><i><b>b</b></i></sup></a> <a href="#cite_ref-Marty_157-2"><sup><i><b>c</b></i></sup></a></span> <span class="reference-text">See "<a rel="nofollow" class="external text" href="http://perso.numericable.fr/robert.marty/semiotique/76defeng.htm">76 definitions of the sign by C. S. Peirce</a>", collected by Robert Marty (U. of Perpignan, France).</span> </li> <li id="cite_note-158"><span class="mw-cite-backlink"><b><a href="#cite_ref-158">^</a></b></span> <span class="reference-text">Peirce, A Letter to Lady Welby (1908), <i><a href="#SS">Semiotic and Significs</a></i>, pp. 80–81: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>I define a Sign as anything which is so determined by something else, called its Object, and so determines an effect upon a person, which effect I call its Interpretant, that the latter is thereby mediately determined by the former. My insertion of "upon a person" is a sop to Cerberus, because I despair of making my own broader conception understood.</p></blockquote></span> </li> <li id="cite_note-159"><span class="mw-cite-backlink"><b><a href="#cite_ref-159">^</a></b></span> <span class="reference-text"><i>Representamen</i> (<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="/ˌ/: secondary stress follows">ˌ</span><span title="&#39;r&#39; in &#39;rye&#39;">r</span><span title="/ɛ/: &#39;e&#39; in &#39;dress&#39;">ɛ</span><span title="&#39;p&#39; in &#39;pie&#39;">p</span><span title="&#39;r&#39; in &#39;rye&#39;">r</span><span title="/ɪ/: &#39;i&#39; in &#39;kit&#39;">ɪ</span><span title="&#39;z&#39; in &#39;zoom&#39;">z</span><span title="/ɛ/: &#39;e&#39; in &#39;dress&#39;">ɛ</span><span title="&#39;n&#39; in &#39;nigh&#39;">n</span><span title="/ˈ/: primary stress follows">ˈ</span><span title="&#39;t&#39; in &#39;tie&#39;">t</span><span title="/eɪ/: &#39;a&#39; in &#39;face&#39;">eɪ</span><span title="&#39;m&#39; in &#39;my&#39;">m</span><span title="/ə/: &#39;a&#39; in &#39;about&#39;">ə</span><span title="&#39;n&#39; in &#39;nigh&#39;">n</span></span>/</a></span></span> <a href="/wiki/Help:Pronunciation_respelling_key" title="Help:Pronunciation respelling key"><i title="English pronunciation respelling"><span style="font-size:90%">REP</span>-ri-zen-<span style="font-size:90%">TAY</span>-mən</i></a>) was adopted (<a href="https://en.wiktionary.org/wiki/representamen" class="extiw" title="wikt:representamen">not coined</a>) by Peirce as his technical term for the <i>sign</i> as covered in his theory, in case a divergence should come to light between his theoretical version and the popular senses of the word "sign". He eventually stopped using "representamen". See <i>The Essential Peirce</i>, 2:272–273 and <i><a href="#SS">Semiotic and Significs</a></i> p. 193, quotes in "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/representamen.html">Representamen</a>" at <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-160"><span class="mw-cite-backlink"><b><a href="#cite_ref-160">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEco1984" class="citation book cs1">Eco, Umberto (1984). <a rel="nofollow" class="external text" href="https://archive.org/details/semioticsphiloso00ecou/page/15"><i>Semiotics and the Philosophy of Language</i></a>. Bloomington &amp; Indianapolis: Indiana University Press. p.&#160;<a rel="nofollow" class="external text" href="https://archive.org/details/semioticsphiloso00ecou/page/15">15</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Special:BookSources/978-0-25320398-4" title="Special:BookSources/978-0-25320398-4"><bdi>978-0-25320398-4</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Semiotics+and+the+Philosophy+of+Language&amp;rft.place=Bloomington+%26+Indianapolis&amp;rft.pages=15&amp;rft.pub=Indiana+University+Press&amp;rft.date=1984&amp;rft.isbn=978-0-25320398-4&amp;rft.aulast=Eco&amp;rft.aufirst=Umberto&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fsemioticsphiloso00ecou%2Fpage%2F15&amp;rfr_id=info%3Asid%2Fen.wikipedia.org%3ACharles+Sanders+Peirce" class="Z3988"></span></span> </li> <li id="cite_note-fictive-161"><span class="mw-cite-backlink">^ <a href="#cite_ref-fictive_161-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-fictive_161-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1909), A Letter to William James, <i>The Essential Peirce</i>, 2:492–502. Fictional object, 498. Object as universe of discourse, 492. See "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/dynamicalobject.html">Dynamical Object</a>" at <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-162"><span class="mw-cite-backlink"><b><a href="#cite_ref-162">^</a></b></span> <span class="reference-text">See "Immediate Object", etc., at <a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/dictionary.html"><i>Commens Digital Companion to C.S. Peirce</i></a>.</span> </li> <li id="cite_note-9signs-163"><span class="mw-cite-backlink">^ <a href="#cite_ref-9signs_163-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-9signs_163-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">Peirce (1903 MS), "Nomenclature and Divisions of Triadic Relations, as Far as They Are Determined", under other titles in <i>Collected Papers</i> (CP) v. 2, paragraphs 233–272, and reprinted under the original title in <i>Essential Peirce</i> (EP) v. 2, pp. 289–299. Also <a rel="nofollow" class="external text" href="http://www.mail-archive.com/peirce-l@lyris.ttu.edu/msg00850.html">see image of MS 339</a> (August 7, 1904) supplied to peirce-l by <a rel="nofollow" class="external text" href="http://www.iutc3.unicaen.fr/~moranb/">Bernard Morand</a> of the <span lang="fr">Institut Universitaire de Technologie</span> (France), <span lang="fr">Département Informatique</span>.</span> </li> <li id="cite_note-terms-164"><span class="mw-cite-backlink">^ <a href="#cite_ref-terms_164-0"><sup><i><b>a</b></i></sup></a> <a href="#cite_ref-terms_164-1"><sup><i><b>b</b></i></sup></a></span> <span class="reference-text">On the varying terminology, look up in <a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/dictionary.html"><i>Commens Digital Companion to C.S. Peirce</i></a>.</span> </li> <li id="cite_note-165"><span class="mw-cite-backlink"><b><a href="#cite_ref-165">^</a></b></span> <span class="reference-text"><i>Popular Science Monthly</i>, v. 13, pp. 470–482, see <a rel="nofollow" class="external text" href="https://books.google.com/books?id=u8sWAQAAIAAJ&amp;pg=PA472">472</a> or <a href="https://en.wikisource.org/wiki/Popular_Science_Monthly/Volume_13/August_1878/Illustrations_of_the_Logic_of_Science_VI" class="extiw" title="s:Popular Science Monthly/Volume 13/August 1878/Illustrations of the Logic of Science VI">the book at Wikisource</a>. <i>Collected Papers of Charles Sanders Peirce</i>, 2.619–644 [623]</span> </li> <li id="cite_note-166"><span class="mw-cite-backlink"><b><a href="#cite_ref-166">^</a></b></span> <span class="reference-text">See, under "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/abduction.html">Abduction</a>" at <i>Commens Digital Companion to C.S. Peirce</i>, the following quotes: <ul><li>On correction of "A Theory of Probable Inference", see quotes from "Minute Logic", <i>Collected Papers of Charles Sanders Peirce</i>, 2.102, c. 1902, and from the Carnegie Application (L75), 1902, <i>Historical Perspectives on Peirce's Logic of Science</i> v. 2, pp. 1031–1032.</li> <li>On new logical form for abduction, see quote from Harvard Lectures on Pragmatism, 1903, <i>Collected Papers of Charles Sanders Peirce</i>, 5.188–189.</li></ul> See also Santaella, Lucia (1997) "The Development of Peirce's Three Types of Reasoning: Abduction, Deduction, and Induction", 6th Congress of the <a href="/wiki/IASS" class="mw-redirect" title="IASS">IASS</a>. <a rel="nofollow" class="external text" href="http://www.pucsp.br/~lbraga/epap_peir1.htm">Eprint</a>.</span> </li> <li id="cite_note-167"><span class="mw-cite-backlink"><b><a href="#cite_ref-167">^</a></b></span> <span class="reference-text">"Lectures on Pragmatism", 1903, <i>Collected Papers of Charles Sanders Peirce</i>, 5.171.</span> </li> <li id="cite_note-168"><span class="mw-cite-backlink"><b><a href="#cite_ref-168">^</a></b></span> <span class="reference-text">A Letter to J. H. Kehler (dated 1911), <i><a href="#NEM">The New Elements of Mathematics</a></i> v. 3, pp. 203–204, see in "<a rel="nofollow" class="external text" href="http://www.helsinki.fi/science/commens/terms/retroduction.html">Retroduction</a>" at <i>Commens Digital Companion to C.S. Peirce</i>.</span> </li> <li id="cite_note-169"><span class="mw-cite-backlink"><b><a href="#cite_ref-169">^</a></b></span> <span class="reference-text">Peirce (1868), "Nominalism versus Realism", <i>Journal of Speculative Philosophy</i> v. 2, n. 1, pp. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=YHkqP2JHJ_IC&amp;pg=RA1-PA57">57–61</a>. Reprinted (CP 6.619–624), (<a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v2/w2/w2_14/v2_14.htm"><i>Writings of Charles S. Peirce</i>, 2:144–153</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080531074944/http://www.iupui.edu/~peirce/writings/v2/w2/w2_14/v2_14.htm">Archived</a> 2008-05-31 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>).</span> </li> <li id="cite_note-170"><span class="mw-cite-backlink"><b><a href="#cite_ref-170">^</a></b></span> <span class="reference-text">On developments in Peirce's realism, see: <ul><li>Peirce (1897), "The Logic of Relatives", <i>The Monist</i> v. VII, n. 2 pp. 161–217, see <a rel="nofollow" class="external text" href="https://books.google.com/books?id=pa0LAAAAIAAJ&amp;pg=PA206">206</a> (via Google). Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 3.456–552.</li> <li>Peirce (1905), "Issues of Pragmaticism", <i>The Monist</i> v. XV, n. 4, pp. 481–499, see <a rel="nofollow" class="external text" href="https://archive.org/details/monist18instgoog/page/n568">495–496</a> (via Google). Reprinted (CP 5.438–463, see 453–457).</li> <li>Peirce (c. 1905), Letter to Signor Calderoni, <i>Collected Papers of Charles Sanders Peirce</i>, 8.205–213, see 208.</li> <li>Lane, Robert (2007), "Peirce's Modal Shift: From Set Theory to Pragmaticism", <i>Journal of the History of Philosophy</i>, v. 45, n. 4.</li></ul> </span></li> <li id="cite_note-171"><span class="mw-cite-backlink"><b><a href="#cite_ref-171">^</a></b></span> <span class="reference-text">Peirce (1893–1894, MS 949, p. 1)</span> </li> <li id="cite_note-172"><span class="mw-cite-backlink"><b><a href="#cite_ref-172">^</a></b></span> <span class="reference-text">Peirce (1903 MS), <i>Collected Papers of Charles Sanders Peirce</i>, 6.176: "But I now define a <i>pseudo-continuum</i> as that which modern writers on the theory of functions call a <i>continuum</i>. But this is fully represented by [...] the totality of real values, rational and irrational [...]."</span> </li> <li id="cite_note-173"><span class="mw-cite-backlink"><b><a href="#cite_ref-173">^</a></b></span> <span class="reference-text">Peirce (1902 MS) and <a href="/wiki/Joseph_Morton_Ransdell" title="Joseph Morton Ransdell">Ransdell, Joseph</a>, ed. (1998), "Analysis of the Methods of Mathematical Demonstration", <a rel="nofollow" class="external text" href="http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-02.htm#m4">Memoir 4</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131103160621/http://www.cspeirce.com/menu/library/bycsp/l75/ver1/l75v1-02.htm#m4">Archived</a> 2013-11-03 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Draft C, MS L75.90–102, see 99–100. (Once there, scroll down).</span> </li> <li id="cite_note-174"><span class="mw-cite-backlink"><b><a href="#cite_ref-174">^</a></b></span> <span class="reference-text">See: <ul><li>Peirce (1908), "Some Amazing Mazes (Conclusion), Explanation of Curiosity the First", <i>The Monist</i>, v. 18, n. 3, pp. 416–444, see <a href="//archive.org/details/bub_gb_CqsLAAAAIAAJ_2/page/n544" class="extiw" title="iarchive:bub gb CqsLAAAAIAAJ 2/page/n544">463–464</a>. Reprinted <i>Collected Papers of Charles Sanders Peirce</i>, 4.594–642, see 642.</li> <li>Havenel, Jérôme (2008), "Peirce's Clarifications on Continuity", <i>Transactions</i> Winter 2008 pp. 68–133, see 119. <a rel="nofollow" class="external text" href="https://www.jstor.org/pss/40321237">Abstract</a>.</li></ul> </span></li> <li id="cite_note-Godasreal-175"><span class="mw-cite-backlink"><b><a href="#cite_ref-Godasreal_175-0">^</a></b></span> <span class="reference-text">Peirce in his 1906 "Answers to Questions concerning my Belief in God", <i>Collected Papers of Charles Sanders Peirce</i>, 6.495, <a rel="nofollow" class="external text" href="http://users.xplornet.com/~gnox/CSPgod.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080223094243/http://users.xplornet.com/~gnox/CSPgod.htm">Archived</a> February 23, 2008, at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, reprinted in part as "The Concept of God" in <i>Philosophical Writings of Peirce</i>, J. Buchler, ed., 1940, pp. 375–378: <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1244412712"><blockquote class="templatequote"><p>I will also take the liberty of substituting "reality" for "existence." This is perhaps overscrupulosity; but I myself always use <i>exist</i> in its strict philosophical sense of "react with the other like things in the environment." Of course, in that sense, it would be fetichism to say that God "exists." The word "reality," on the contrary, is used in ordinary parlance in its correct philosophical sense. [....] I define the <i>real</i> as that which holds its characters on such a tenure that it makes not the slightest difference what any man or men may have <i>thought</i> them to be, or ever will have <i>thought</i> them to be, here using thought to include, imagining, opining, and willing (as long as forcible <i>means</i> are not used); but the real thing's characters will remain absolutely untouched.</p></blockquote></span> </li> <li id="cite_note-176"><span class="mw-cite-backlink"><b><a href="#cite_ref-176">^</a></b></span> <span class="reference-text">See his <a href="/wiki/Charles_Sanders_Peirce_bibliography#MMS" title="Charles Sanders Peirce bibliography">"The Doctrine of Necessity Examined" (1892) and "Reply to the Necessitarians" (1893)</a>, to both of which editor <a href="/wiki/Paul_Carus" title="Paul Carus">Paul Carus</a> responded.</span> </li> <li id="cite_note-177"><span class="mw-cite-backlink"><b><a href="#cite_ref-177">^</a></b></span> <span class="reference-text">Peirce (1891), "The Architecture of Theories",<i> <a href="/wiki/The_Monist" title="The Monist">The Monist</a></i> v. 1, pp. <a rel="nofollow" class="external text" href="https://archive.org/stream/monistquart01hegeuoft#page/161/mode/1up">161–176</a>, see <a rel="nofollow" class="external text" href="https://archive.org/stream/monistquart01hegeuoft#page/170/mode/1up">p. 170</a>, via <i>Internet Archive</i>. Reprinted (CP 6.7–34) and (<i>The Essential Peirce</i>, 1:285–297, see p. 293).</span> </li> <li id="cite_note-178"><span class="mw-cite-backlink"><b><a href="#cite_ref-178">^</a></b></span> <span class="reference-text">Peirce, C.S. (1871), Review: Fraser's Edition of the <i>Works of George Berkeley</i> in <i>North American Review</i> 113(October):449–472, reprinted in <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#CP" title="Charles Sanders Peirce bibliography">Collected Papers of Charles Sanders Peirce</a></i> v. 8, paragraphs 7–38 and in <i><a href="/wiki/Charles_Sanders_Peirce_bibliography#W" title="Charles Sanders Peirce bibliography">Writings of Charles S. Peirce</a></i> v. 2, pp. 462–486. <i>Peirce Edition Project</i> <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/v2/w2/w2_48/v2_48.htm">Eprint</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20180706131637/http://www.iupui.edu/~peirce/writings/v2/w2/w2_48/v2_48.htm">Archived</a> 2018-07-06 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>.</span> </li> <li id="cite_note-179"><span class="mw-cite-backlink"><b><a href="#cite_ref-179">^</a></b></span> <span class="reference-text">See "tychism", "tychasm", "tychasticism", and the rest, at <a rel="nofollow" class="external free" href="http://www.helsinki.fi/science/commens/dictionary.html">http://www.helsinki.fi/science/commens/dictionary.html</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100822160927/http://www.helsinki.fi/science/commens/dictionary.html">Archived</a> August 22, 2010, at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a> <i>Commens Digital Companion to C.S. Peirce</i>. <a rel="nofollow" class="external free" href="https://web.archive.org/web/20111024011940/http://www.helsinki.fi/science/commens/dictionary.html">https://web.archive.org/web/20111024011940/http://www.helsinki.fi/science/commens/dictionary.html</a></span> </li> <li id="cite_note-180"><span class="mw-cite-backlink"><b><a href="#cite_ref-180">^</a></b></span> <span class="reference-text">See p. 115 in <i><a href="#RLT">Reasoning and the Logic of Things</a></i> (Peirce's 1898 lectures).</span> </li> </ol></div></div> <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=Charles_Sanders_Peirce&amp;action=edit&amp;section=50" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1235681985">.mw-parser-output .side-box{margin:4px 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.side-box-text>ul{border-top:1px solid #aaa;padding:0.75em 0;width:217px;margin:0 auto}.mw-parser-output .sister-box .side-box-text>ul>li{min-height:31px}.mw-parser-output .sister-logo{display:inline-block;width:31px;line-height:31px;vertical-align:middle;text-align:center}.mw-parser-output .sister-link{display:inline-block;margin-left:4px;width:182px;vertical-align:middle}@media print{body.ns-0 .mw-parser-output .sistersitebox{display:none!important}}@media screen{html.skin-theme-clientpref-night .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-v2.svg"]{background-color:white}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .sistersitebox img[src*="Wiktionary-logo-v2.svg"]{background-color:white}}</style><div role="navigation" aria-labelledby="sister-projects" class="side-box metadata side-box-right sister-box sistersitebox plainlinks"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style> <div class="side-box-abovebelow"> <b>Charles Sanders Peirce</b> at Wikipedia's <a href="/wiki/Wikipedia:Wikimedia_sister_projects" title="Wikipedia:Wikimedia sister projects"><span id="sister-projects">sister projects</span></a></div> <div class="side-box-flex"> <div class="side-box-text plainlist"><ul><li><span class="sister-logo"><span class="mw-valign-middle" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/20px-Commons-logo.svg.png" decoding="async" width="20" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/30px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/4/4a/Commons-logo.svg/40px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span></span><span class="sister-link"><a href="https://commons.wikimedia.org/wiki/Category:Charles_Sanders_Peirce" class="extiw" title="c:Category:Charles Sanders Peirce">Media</a> from Commons</span></li><li><span class="sister-logo"><span class="mw-valign-middle" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/23px-Wikiquote-logo.svg.png" decoding="async" width="23" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/35px-Wikiquote-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fa/Wikiquote-logo.svg/46px-Wikiquote-logo.svg.png 2x" data-file-width="300" data-file-height="355" /></span></span></span><span class="sister-link"><a href="https://en.wikiquote.org/wiki/Charles_Sanders_Peirce" class="extiw" title="q:Charles Sanders Peirce">Quotations</a> from Wikiquote</span></li><li><span class="sister-logo"><span class="mw-valign-middle" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/26px-Wikisource-logo.svg.png" decoding="async" width="26" height="27" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/39px-Wikisource-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/51px-Wikisource-logo.svg.png 2x" data-file-width="410" data-file-height="430" /></span></span></span><span class="sister-link"><a href="https://en.wikisource.org/wiki/Author:Charles_Sanders_Peirce" class="extiw" title="s:Author:Charles Sanders Peirce">Texts</a> from Wikisource</span></li></ul></div></div> </div> <ul><li><a rel="nofollow" class="external text" href="https://arisbe.sitehost.iu.edu/">Arisbe: The Peirce Gateway</a>, Joseph Ransdell, ed. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20221130013710/https://arisbe.sitehost.iu.edu/">Archived</a> 2022-11-30 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>. Includes over 100 annotated writings by Peirce, hundreds of papers on Peirce, and archives of a Peirce email forum.</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20030806032358/http://www.indiana.edu/~sign/">Center for Applied Semiotics (CAS)</a> (1998–2003), Donald Cunningham &amp; Jean Umiker-Sebeok, Indiana U.</li> <li><span class="anchor" id="CIEP"></span><span title="Portuguese-language text"><i lang="pt"><a rel="nofollow" class="external text" href="http://estudospeirceanos.wordpress.com/">Centro Internacional de Estudos Peirceanos</a> (CIEP)</i></span> and previously <span title="Portuguese-language text"><i lang="pt"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20120516140053/http://www.pucsp.br/pos/cos/cepe/">Centro de Estudos Peirceanos</a> (CeneP), Lucia Santaella</i></span> et al., Pontifical Catholic U. of <span title="Portuguese-language text"><i lang="pt">São Paulo</i></span> (PUC-SP), Brazil. In Portuguese, some English.</li> <li><span class="anchor" id="CEP"></span><a rel="nofollow" class="external text" href="https://www.pragmatismopucsp.com.br/">Centro de Estudos de Pragmatismo</a> (CEP), Ivo Assad Ibri, Pontifical Catholic U. of São Paulo (PUC-SP), Brazil. In Portuguese.</li> <li>"<a rel="nofollow" class="external text" href="https://web.archive.org/web/20071011065724/http://revistas.pucsp.br/index.php/cognitiofilosofia/about">Cognitio </a>". <i>Journal on Pragmatism</i> organized by the Centre for Pragmatism Studies (PPG-Fil, PUC-SP) <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISSN_(identifier)" class="mw-redirect" title="ISSN (identifier)">ISSN</a>&#160;<a rel="nofollow" class="external text" href="https://www.worldcat.org/search?fq=x0:jrnl&amp;q=n2:2316-5278">2316-5278</a></li> <li><span class="anchor" id="CDPT"></span><a rel="nofollow" class="external text" href="http://www.commens.org/">Commens Digital Companion to C.S. Peirce</a>, Mats Bergman, Sami Paavola, &amp; <span title="Portuguese-language text"><i lang="pt">João Queiroz</i></span>, formerly <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140121203128/http://www.helsinki.fi/science/commens/index.html">Commens at Helsinki U</a>. Includes Commens Dictionary of Peirce's Terms with Peirce's definitions, often many per term across the decades, and the Digital Encyclopedia of Charles S. Peirce (<a href="#DECSP">old edition still at old website</a>).</li> <li><span class="anchor" id="CSPI"></span><a rel="nofollow" class="external text" href="http://www.filosofia.unimi.it/peirce/"><span title="Italian-language text"><i lang="it">Centro Studi</i></span> Peirce</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20130908144039/http://www.filosofia.unimi.it/peirce/">Archived</a> September 8, 2013, at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Carlo Sini, Rossella Fabbrichesi, et al., U. of Milan, Italy. In Italian and English. Part of <a rel="nofollow" class="external text" href="http://www.associazionepragma.com/">Pragma</a>.</li> <li><a rel="nofollow" class="external text" href="http://www.peirce-foundation.org/">Charles S. Peirce Foundation</a>. Co-sponsoring the 2014 Peirce International Centennial Congress (100th anniversary of Peirce's death).</li> <li><span class="anchor" id="CSPS"></span><a rel="nofollow" class="external text" href="http://www.peircesociety.org/">Charles S. Peirce Society</a><br /><i><a rel="nofollow" class="external text" href="https://web.archive.org/web/20071011065724/http://peircesociety.org/transactions.html">Transactions of the Charles S. Peirce Society</a></i>. Quarterly journal of Peirce studies since spring 1965. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20091203103238/http://www.peircesociety.org/contents.html">Table of Contents</a> of all issues.</li> <li><a rel="nofollow" class="external text" href="http://www.peirce.org/">Charles S. Peirce Studies</a>, Brian Kariger, ed.</li> <li><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=24099">Charles Sanders Peirce</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></li> <li><a rel="nofollow" class="external text" href="http://translate.google.com/translate?hl=en&amp;sl=de&amp;u=http://bildakt-verkoerperung.de/forschungsschwerpunkte/">Collegium for the Advanced Study of Picture Act and Embodiment</a>: The Peirce Archive. Humboldt U, Berlin, Germany. Cataloguing Peirce's innumerable drawings &amp; graphic materials. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110707185056/http://www.audsisselhoel.com/wordpress/?p=69">More info</a> (Prof. Aud Sissel Hoel).</li> <li><span class="anchor" id="DECSP"></span><a rel="nofollow" class="external text" href="http://www.digitalpeirce.fee.unicamp.br/">Digital Encyclopedia of Charles S. Peirce</a>, <span title="Portuguese-language text"><i lang="pt">João Queiroz</i></span> (<a rel="nofollow" class="external text" href="https://ufjf.academia.edu/JoaoQueiroz">now at UFJF</a>) &amp; Ricardo Gudwin (<a rel="nofollow" class="external text" href="http://www.dca.fee.unicamp.br/~gudwin/">at Unicamp</a>), eds., <a href="/wiki/Universidade_Estadual_de_Campinas" class="mw-redirect" title="Universidade Estadual de Campinas">Universidade Estadual de Campinas</a> (Portuguese), Brazil, in English. 84 authors listed, 51 papers online &amp; more listed, as of January 31, 2009. Newer edition now at <a href="#CDPT"><i>Commens Digital Companion to C.S. Peirce</i></a>.</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20050901083355/http://www.existentialgraphs.com/">Existential Graphs</a>, Jay Zeman, ed., U. of Florida. Has 4 Peirce texts.</li> <li><span class="anchor" id="GEP"></span><span title="Spanish-language text"><i lang="es"><a rel="nofollow" class="external text" href="http://www.unav.es/gep/index-en.html">Grupo de Estudios Peirceanos (GEP) / Peirce Studies Group</a>, Jaime Nubiola</i></span>, ed., U. of Navarra, Spain. Big study site, Peirce &amp; others in Spanish &amp; English, bibliography, more.</li> <li><span class="anchor" id="HPRC"></span><a rel="nofollow" class="external text" href="http://www.helsinki.fi/peirce/">Helsinki Peirce Research Center</a> (HPRC), Ahti-Veikko Pietarinen et al., U. of Helsinki.</li> <li><a rel="nofollow" class="external text" href="http://www.wyttynys.net/">His Glassy Essence</a>. Autobiographical Peirce. Kenneth Laine Ketner.</li> <li><a rel="nofollow" class="external text" href="http://www.pragmaticism.net/">Institute for Studies in Pragmaticism</a>, Kenneth Laine Ketner, Clyde Hendrick, et al., Texas Tech U. Peirce's life and works.</li> <li><span class="anchor" id="IRGAI"></span><a rel="nofollow" class="external text" href="https://web.archive.org/web/*/http://www.rz.uni-frankfurt.de/~wirth">International Research Group on Abductive Inference</a>, <span title="German-language text"><i lang="de">Uwe Wirth</i></span> et al., eds., <span title="German-language text"><i lang="de">Goethe</i></span> U., Frankfurt, Germany. Uses frames. Click on link at bottom of its home page for English. Moved to <a href="/wiki/University_of_Gie%C3%9Fen" class="mw-redirect" title="University of Gießen">U. of Gießen</a>, Germany, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20131103211119/http://www.abduktionsforschung.de/abduktionsforschung.html">home page</a> not in English but see Artikel section there.</li> <li><span class="anchor" id="HIPHILANGSCI"></span><a rel="nofollow" class="external text" href="https://hiphilangsci.net/2024/04/01/podcast-episode-38/">Interview with Dan Everett on C.S. Peirce and Peircean linguistics</a> (2024) – Dan Everett talks to James McElvenny about Peirce in the History and Philosophy of the Language Sciences podcast series.</li> <li><span class="anchor" id="LIRSCE"></span><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070717060233/http://webup.univ-perp.fr/lsh/rch/semiotics/irsce/irsce.html">L'I.R.S.C.E.</a> (1974–2003) – <span title="French-language text"><i lang="fr">Institut de Recherche en Sémiotique, Communication et Éducation, Gérard Deledalle, Joëlle Réthoré</i></span>, U. of <span title="French-language text"><i lang="fr">Perpignan</i></span>, France.</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20131102231348/http://www.minutesemeiotic.org/?lang=en">Minute Semeiotic</a>, <span title="Portuguese-language text"><i lang="pt">Vinicius Romanini</i></span>, U. of <span title="Portuguese-language text"><i lang="pt">São Paulo</i></span>, Brazil. English, Portuguese.</li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20120711014221/http://www.signosemio.com/peirce/a_peirce.asp">Peirce</a> at <i>Signo: Theoretical Semiotics on the Web</i>, Louis Hébert, director, supported by U. of Québec. Theory, application, exercises of Peirce's <a rel="nofollow" class="external text" href="https://web.archive.org/web/20120711003648/http://www.signosemio.com/peirce/a_semiotique.asp">Semiotics</a> and <a rel="nofollow" class="external text" href="https://web.archive.org/web/20120711003340/http://www.signosemio.com/peirce/a_esthetique.asp">Esthetics</a>. English, French.</li> <li><span class="anchor" id="PEP"></span><a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/">Peirce Edition Project (PEP)</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20191020080934/http://www.iupui.edu/~peirce/">Archived</a> 2019-10-20 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a>, Indiana U.–Purdue U. Indianapolis (IUPUI). André De Tienne, Nathan Houser, et al. Editors of the <i>Writings of Charles S. Peirce</i> (W) and <i>The Essential Peirce</i> (EP) v. 2. Many study aids such as the Robin Catalog of Peirce's manuscripts &amp; letters and:<br />Biographical introductions to <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/ep/ep.htm">EP&#160;1–2</a> and <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/writings/crit.htm">W&#160;1–6</a> &amp; <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/houserintro.html">8</a><br /><a rel="nofollow" class="external text" href="http://www.iupui.edu/%7Epeirce/writings/v2/toc2.htm">Most of <i>Writings of Charles S. Peirce</i>, 2</a> readable online.<br /><a rel="nofollow" class="external text" href="https://web.archive.org/web/20020328213928/http://www.pep.uqam.ca/">PEP's branch at <span title="French-language text"><i lang="fr">Université du Québec à Montréal (UQÀM)</i></span></a>. Working on <i>Writings of Charles S. Peirce</i>, 7: Peirce's work on the <i>Century Dictionary</i>. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160304044756/http://www.pep.uqam.ca/definitionoftheweek.pep">Definition of the week</a>.</li> <li><a rel="nofollow" class="external text" href="http://www.dr-dau.net/eg_readings.shtml">Peirce's Existential Graphs</a>, Frithjof Dau, Germany</li> <li><a rel="nofollow" class="external text" href="http://peirce.unimi.it/en">Peirce Research Group</a>, Department of Philosophy "Piero Martinetti" – University of Milan, Italy.</li> <li><a rel="nofollow" class="external text" href="http://www.pragmatism.org/">Pragmatism Cybrary</a>, David Hildebrand &amp; John Shook.</li> <li><span class="anchor" id="RGSEME"></span><a rel="nofollow" class="external text" href="https://web.archive.org/web/19970519142208/http://www.uni-bielefeld.de/idm/eng/arbeit/agsem.htm">Research Group on Semiotic Epistemology and Mathematics Education</a> (late 1990s), <span title="German-language text"><i lang="de">Institut für Didaktik der Mathematik (Michael Hoffman, Michael Otte, Universität Bielefeld,</i></span> Germany). See <i>Peirce Project Newsletter</i> v. 3, n. 1, <a rel="nofollow" class="external text" href="http://www.iupui.edu/~peirce/news/3_1/3_1pdf/Page13.pdf">p. 13</a>.</li> <li><a rel="nofollow" class="external text" href="http://perso.numericable.fr/robert.marty/semiotique/anglais.htm">Semiotics according to Robert Marty</a>, with <a rel="nofollow" class="external text" href="http://perso.numericable.fr/robert.marty/semiotique/access.htm">76 definitions of the sign by C.&#160;S. Peirce</a>.</li> <li><a rel="nofollow" class="external text" href="https://librivox.org/author/16492">Works by Charles Sanders Peirce</a> at <a href="/wiki/LibriVox" title="LibriVox">LibriVox</a> (public domain audiobooks) <span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/21/Speaker_Icon.svg/15px-Speaker_Icon.svg.png" decoding="async" width="15" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/21/Speaker_Icon.svg/23px-Speaker_Icon.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/21/Speaker_Icon.svg/30px-Speaker_Icon.svg.png 2x" data-file-width="500" data-file-height="500" /></span></span></li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid 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Methods</a></li></ul></li> <li><a href="/wiki/Commensurability_(philosophy_of_science)" title="Commensurability (philosophy of science)">Commensurability</a></li> <li><a href="/wiki/Consilience" title="Consilience">Consilience</a></li> <li><a href="/wiki/Construct_(philosophy)" title="Construct (philosophy)">Construct</a></li> <li><a href="/wiki/Correlation" title="Correlation">Correlation</a> <ul><li><a href="/wiki/Correlation_function" title="Correlation function">function</a></li></ul></li> <li><a href="/wiki/Creative_synthesis" title="Creative synthesis">Creative synthesis</a></li> <li><a href="/wiki/Demarcation_problem" title="Demarcation problem">Demarcation problem</a></li> <li><a href="/wiki/Empirical_evidence" title="Empirical evidence">Empirical evidence</a></li> <li><a href="/wiki/Experiment" title="Experiment">Experiment</a> <ul><li><a href="/wiki/Design_of_experiments" title="Design of experiments">design</a></li></ul></li> <li><a href="/wiki/Explanatory_power" title="Explanatory power">Explanatory power</a></li> <li><a href="/wiki/Fact" title="Fact">Fact</a></li> <li><a href="/wiki/Falsifiability" title="Falsifiability">Falsifiability</a></li> <li><a href="/wiki/Feminist_method" title="Feminist method">Feminist method</a></li> <li><a href="/wiki/Functional_contextualism" title="Functional contextualism">Functional contextualism</a></li> <li><a href="/wiki/Hypothesis" title="Hypothesis">Hypothesis</a> <ul><li><a href="/wiki/Alternative_hypothesis" title="Alternative hypothesis">alternative</a></li> <li><a href="/wiki/Null_hypothesis" title="Null hypothesis">null</a></li></ul></li> <li><i><a href="/wiki/Ignoramus_et_ignorabimus" title="Ignoramus et ignorabimus">Ignoramus et ignorabimus</a></i></li> <li><a href="/wiki/Inductive_reasoning" title="Inductive reasoning">Inductive reasoning</a></li> <li><a href="/wiki/Intertheoretic_reduction" title="Intertheoretic reduction">Intertheoretic reduction</a></li> <li><a href="/wiki/Inquiry" title="Inquiry">Inquiry</a></li> <li><a href="/wiki/Nature_(philosophy)" title="Nature (philosophy)">Nature</a></li> <li><a href="/wiki/Objectivity_(philosophy)" class="mw-redirect" title="Objectivity (philosophy)">Objectivity</a></li> <li><a href="/wiki/Observation" title="Observation">Observation</a></li> <li><a href="/wiki/Paradigm" title="Paradigm">Paradigm</a></li> <li><a href="/wiki/Problem_of_induction" title="Problem of induction">Problem of induction</a></li> <li><a href="/wiki/Scientific_evidence" title="Scientific evidence">Scientific evidence</a> <ul><li><a href="/wiki/Evidence-based_practice" title="Evidence-based practice">Evidence-based practice</a></li></ul></li> <li><a href="/wiki/Scientific_law" title="Scientific law">Scientific law</a></li> <li><a href="/wiki/Scientific_method" title="Scientific method">Scientific method</a></li> <li><a href="/wiki/Scientific_pluralism" title="Scientific pluralism">Scientific pluralism</a></li> <li><a href="/wiki/Scientific_Revolution" title="Scientific Revolution">Scientific Revolution</a></li> <li><a href="/wiki/Testability" title="Testability">Testability</a></li> <li><a href="/wiki/Theory" title="Theory">Theory</a> <ul><li><a href="/wiki/Theory_choice" title="Theory choice">choice</a></li> <li><a href="/wiki/Theory-ladenness" title="Theory-ladenness">ladenness</a></li> <li><a href="/wiki/Scientific_theory" title="Scientific theory">scientific</a></li></ul></li> <li><a href="/wiki/Underdetermination" title="Underdetermination">Underdetermination</a></li> <li><a href="/wiki/Unity_of_science" title="Unity of science">Unity of science</a></li> <li><a href="/wiki/Variable_and_attribute_(research)" title="Variable and attribute (research)">Variable</a> <ul><li><a href="/wiki/Control_variable" title="Control variable">control</a></li> <li><a href="/wiki/Dependent_and_independent_variables" title="Dependent and independent variables">dependent and independent</a></li></ul></li> <li><a href="/wiki/Index_of_philosophy_of_science_articles" title="Index of philosophy of science articles">more...</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theories</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/Coherentism" title="Coherentism">Coherentism</a></li> <li><a href="/wiki/Confirmation_holism" title="Confirmation holism">Confirmation holism</a></li> <li><a href="/wiki/Constructive_empiricism" title="Constructive empiricism">Constructive empiricism</a></li> <li><a href="/wiki/Constructive_realism" title="Constructive realism">Constructive realism</a></li> <li><a href="/wiki/Constructivist_epistemology" class="mw-redirect" title="Constructivist epistemology">Constructivist epistemology</a></li> <li><a href="/wiki/Contextualism" title="Contextualism">Contextualism</a></li> <li><a href="/wiki/Conventionalism" title="Conventionalism">Conventionalism</a></li> <li><a href="/wiki/Deductive-nomological_model" title="Deductive-nomological model">Deductive-nomological model</a></li> <li><a href="/wiki/Epistemological_anarchism" class="mw-redirect" title="Epistemological anarchism">Epistemological anarchism</a></li> <li><a href="/wiki/Evolutionism" title="Evolutionism">Evolutionism</a></li> <li><a href="/wiki/Fallibilism" title="Fallibilism">Fallibilism</a></li> <li><a href="/wiki/Foundationalism" title="Foundationalism">Foundationalism</a></li> <li><a href="/wiki/Hypothetico-deductive_model" title="Hypothetico-deductive model">Hypothetico-deductive model</a></li> <li><a href="/wiki/Inductionism" title="Inductionism">Inductionism</a></li> <li><a href="/wiki/Instrumentalism" title="Instrumentalism">Instrumentalism</a></li> <li><a href="/wiki/Model-dependent_realism" title="Model-dependent realism">Model-dependent realism</a></li> <li><a href="/wiki/Naturalism_(philosophy)" title="Naturalism (philosophy)">Naturalism</a></li> <li><a href="/wiki/Physicalism" title="Physicalism">Physicalism</a></li> <li><a href="/wiki/Positivism" title="Positivism">Positivism</a>&#160;/&#32;<a href="/wiki/Reductionism" title="Reductionism">Reductionism</a>&#160;/&#32;<a href="/wiki/Determinism" title="Determinism">Determinism</a></li> <li><a href="/wiki/Pragmatism" title="Pragmatism">Pragmatism</a></li> <li><a href="/wiki/Rationalism" title="Rationalism">Rationalism</a>&#160;/&#32;<a href="/wiki/Empiricism" title="Empiricism">Empiricism</a></li> <li><a href="/wiki/Received_view_of_theories" title="Received view of theories">Received view</a>&#160;/&#32;<a href="/wiki/Semantic_view_of_theories" title="Semantic view of theories">Semantic view of theories</a></li> <li><a href="/wiki/Scientific_essentialism" title="Scientific essentialism">Scientific essentialism</a></li> <li><a href="/wiki/Scientific_formalism" title="Scientific formalism">Scientific formalism</a></li> <li><a href="/wiki/Scientific_realism" title="Scientific realism">Scientific realism</a>&#160;/&#32;<a href="/wiki/Anti-realism" title="Anti-realism">Anti-realism</a></li> <li><a href="/wiki/Scientific_skepticism" title="Scientific skepticism">Scientific skepticism</a></li> <li><a href="/wiki/Scientism" title="Scientism">Scientism</a></li> <li><a href="/wiki/Structuralism_(philosophy_of_science)" title="Structuralism (philosophy of science)">Structuralism</a></li> <li><a href="/wiki/Uniformitarianism" title="Uniformitarianism">Uniformitarianism</a></li> <li><a href="/wiki/Verificationism" title="Verificationism">Verificationism</a></li> <li><a href="/wiki/Vitalism" title="Vitalism">Vitalism</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Philosophy of...</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/Philosophy_of_biology" title="Philosophy of biology">Biology</a></li> <li><a href="/wiki/Philosophy_of_chemistry" title="Philosophy of chemistry">Chemistry</a></li> <li><a href="/wiki/Philosophy_of_physics" title="Philosophy of physics">Physics</a> <ul><li><a href="/wiki/Philosophy_of_space_and_time" title="Philosophy of space and time">Space and time</a></li></ul></li> <li><a href="/wiki/Philosophy_of_social_science" title="Philosophy of social science">Social science</a> <ul><li><a href="/wiki/Philosophy_of_archaeology" title="Philosophy of archaeology">Archaeology</a></li> <li><a href="/wiki/Philosophy_of_economics" class="mw-redirect" title="Philosophy of economics">Economics‎</a></li> <li><a href="/wiki/Philosophy_of_geography" title="Philosophy of geography">Geography</a></li> <li><a href="/wiki/Philosophy_of_history" title="Philosophy of history">History</a></li> <li><a href="/wiki/Philosophy_of_linguistics" title="Philosophy of linguistics">Linguistics</a></li> <li><a href="/wiki/Philosophy_of_psychology" title="Philosophy of psychology">Psychology</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</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/Criticism_of_science" title="Criticism of science">Criticism of science</a></li> <li><a href="/wiki/Descriptive_research" title="Descriptive research">Descriptive science</a></li> <li><a href="/wiki/Epistemology" title="Epistemology">Epistemology</a></li> <li><a href="/wiki/Exact_sciences" title="Exact sciences">Exact sciences</a></li> <li><a href="/wiki/Faith_and_rationality" title="Faith and rationality">Faith and rationality</a></li> <li><a href="/wiki/Hard_and_soft_science" title="Hard and soft science">Hard and soft science</a></li> <li><a href="/wiki/History_and_philosophy_of_science" title="History and philosophy of science">History and philosophy of science</a></li> <li><a href="/wiki/Non-science" title="Non-science">Non-science</a> <ul><li><a href="/wiki/Pseudoscience" title="Pseudoscience">Pseudoscience</a></li></ul></li> <li><a href="/wiki/Normative_science" title="Normative science">Normative science</a></li> <li><a href="/wiki/Protoscience" title="Protoscience">Protoscience</a></li> <li><a href="/wiki/Questionable_cause" title="Questionable cause">Questionable cause</a></li> <li><a href="/wiki/Relationship_between_religion_and_science" title="Relationship between religion and science">Relationship between religion and science</a></li> <li><a href="/wiki/Rhetoric_of_science" title="Rhetoric of science">Rhetoric of science</a></li> <li><a href="/wiki/Science_studies" title="Science studies">Science studies</a></li> <li><a href="/wiki/Sociology_of_scientific_ignorance" title="Sociology of scientific ignorance">Sociology of scientific ignorance</a></li> <li><a href="/wiki/Sociology_of_scientific_knowledge" title="Sociology of scientific knowledge">Sociology of scientific knowledge</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_philosophers_of_science" title="List of philosophers of science">Philosophers of science</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 id="Precursors" scope="row" class="navbox-group" style="width:7.5em">Precursors</th><td class="navbox-list-with-group navbox-list navbox-odd" style="padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Roger_Bacon" title="Roger Bacon">Roger Bacon</a></li> <li><a href="/wiki/Francis_Bacon" title="Francis Bacon">Francis Bacon</a></li> <li><a href="/wiki/Galileo_Galilei" title="Galileo Galilei">Galileo Galilei</a></li> <li><a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a></li> <li><a href="/wiki/David_Hume" title="David Hume">David Hume</a></li></ul> </div></td></tr></tbody></table><div> <ul><li><a href="/wiki/Auguste_Comte" title="Auguste Comte">Auguste Comte</a></li> <li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Henri Poincaré</a></li> <li><a href="/wiki/Pierre_Duhem" title="Pierre Duhem">Pierre Duhem</a></li> <li><a href="/wiki/Rudolf_Steiner" title="Rudolf Steiner">Rudolf Steiner</a></li> <li><a href="/wiki/Karl_Pearson" title="Karl Pearson">Karl Pearson</a></li> <li><a class="mw-selflink selflink">Charles Sanders Peirce</a></li> <li><a href="/wiki/Wilhelm_Windelband" title="Wilhelm Windelband">Wilhelm Windelband</a></li> <li><a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Alfred North Whitehead</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a></li> <li><a href="/wiki/Otto_Neurath" title="Otto Neurath">Otto Neurath</a></li> <li><a href="/wiki/C._D._Broad" title="C. D. Broad">C. D. Broad</a></li> <li><a href="/wiki/Michael_Polanyi" title="Michael Polanyi">Michael Polanyi</a></li> <li><a href="/wiki/Hans_Reichenbach" title="Hans Reichenbach">Hans Reichenbach</a></li> <li><a href="/wiki/Rudolf_Carnap" title="Rudolf Carnap">Rudolf Carnap</a></li> <li><a href="/wiki/Karl_Popper" title="Karl Popper">Karl Popper</a></li> <li><a href="/wiki/Carl_Gustav_Hempel" title="Carl Gustav Hempel">Carl Gustav Hempel</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">W. V. O. Quine</a></li> <li><a href="/wiki/Thomas_Kuhn" title="Thomas Kuhn">Thomas Kuhn</a></li> <li><a href="/wiki/Imre_Lakatos" title="Imre Lakatos">Imre Lakatos</a></li> <li><a href="/wiki/Paul_Feyerabend" title="Paul Feyerabend">Paul Feyerabend</a></li> <li><a href="/wiki/Ian_Hacking" title="Ian Hacking">Ian Hacking</a></li> <li><a href="/wiki/Bas_van_Fraassen" title="Bas van Fraassen">Bas van Fraassen</a></li> <li><a href="/wiki/Larry_Laudan" title="Larry Laudan">Larry Laudan</a></li></ul></div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <li><a href="/wiki/Category:Philosophy_of_science" title="Category:Philosophy of science">Category</a></li> <li><span class="nowrap"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/18px-Socrates.png" decoding="async" width="18" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/27px-Socrates.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/36px-Socrates.png 2x" data-file-width="326" data-file-height="500" /></span></span> </span><a href="/wiki/Portal:Philosophy" title="Portal:Philosophy">Philosophy&#32;portal</a></li> <li><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Nuvola_apps_kalzium.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/28px-Nuvola_apps_kalzium.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/42px-Nuvola_apps_kalzium.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8b/Nuvola_apps_kalzium.svg/56px-Nuvola_apps_kalzium.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> </span><a href="/wiki/Portal:Science" title="Portal:Science">Science&#32;portal</a></li> </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="Metaphysics" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Metaphysics" title="Template:Metaphysics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Metaphysics" title="Template talk:Metaphysics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Metaphysics" title="Special:EditPage/Template:Metaphysics"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Metaphysics" style="font-size:114%;margin:0 4em"><a href="/wiki/Metaphysics" title="Metaphysics">Metaphysics</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theories</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/Abstract_object_theory" title="Abstract object theory">Abstract object theory</a></li> <li><a href="/wiki/Action_theory_(philosophy)" title="Action theory (philosophy)">Action theory</a></li> <li><a href="/wiki/Anti-realism" title="Anti-realism">Anti-realism</a></li> <li><a href="/wiki/Determinism" title="Determinism">Determinism</a></li> <li><a href="/wiki/Mind%E2%80%93body_dualism" title="Mind–body dualism">Dualism</a></li> <li><a href="/wiki/Enactivism" title="Enactivism">Enactivism</a></li> <li><a href="/wiki/Essentialism" title="Essentialism">Essentialism</a></li> <li><a href="/wiki/Existentialism" title="Existentialism">Existentialism</a></li> <li><a href="/wiki/Free_will" title="Free will">Free will</a></li> <li><a href="/wiki/Idealism" title="Idealism">Idealism</a></li> <li><a href="/wiki/Libertarianism_(metaphysics)" title="Libertarianism (metaphysics)">Libertarianism</a></li> <li><a href="/wiki/Liberty" title="Liberty">Liberty</a></li> <li><a href="/wiki/Materialism" title="Materialism">Materialism</a></li> <li><a href="/wiki/Meaning_of_life" title="Meaning of life">Meaning of life</a></li> <li><a href="/wiki/Monism" title="Monism">Monism</a></li> <li><a href="/wiki/Naturalism_(philosophy)" title="Naturalism (philosophy)">Naturalism</a></li> <li><a href="/wiki/Nihilism" title="Nihilism">Nihilism</a></li> <li><a href="/wiki/Phenomenalism" title="Phenomenalism">Phenomenalism</a></li> <li><a href="/wiki/Philosophical_realism" title="Philosophical realism">Realism</a></li> <li><a href="/wiki/Physicalism" title="Physicalism">Physicalism</a></li> <li><a href="/wiki/Relativism" title="Relativism">Relativism</a></li> <li><a href="/wiki/Scientific_realism" title="Scientific realism">Scientific realism</a></li> <li><a href="/wiki/Solipsism" title="Solipsism">Solipsism</a></li> <li><a href="/wiki/Spiritualism_(philosophy)" title="Spiritualism (philosophy)">Spiritualism</a></li> <li><a href="/wiki/Subjectivism" title="Subjectivism">Subjectivism</a></li> <li><a href="/wiki/Substance_theory" title="Substance theory">Substance theory</a></li> <li><a href="/wiki/Theory_of_forms" title="Theory of forms">Theory of forms</a></li> <li><a href="/wiki/Truthmaker_theory" title="Truthmaker theory">Truthmaker theory</a></li> <li><a href="/wiki/Type_theory" title="Type theory">Type theory</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</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/Abstract_and_concrete" title="Abstract and concrete">Abstract object</a></li> <li><a href="/wiki/Anima_mundi" title="Anima mundi">Anima mundi</a></li> <li><a href="/wiki/Category_of_being" class="mw-redirect" title="Category of being">Category of being</a></li> <li><a href="/wiki/Causality" title="Causality">Causality</a></li> <li><a href="/wiki/Causal_closure" title="Causal closure">Causal closure</a></li> <li><i><a href="/wiki/Cogito,_ergo_sum" title="Cogito, ergo sum">Cogito, ergo sum</a></i></li> <li><a href="/wiki/Concept" title="Concept">Concept</a></li> <li><a href="/wiki/Embodied_cognition" title="Embodied cognition">Embodied cognition</a></li> <li><a href="/wiki/Entity" title="Entity">Entity</a></li> <li><a href="/wiki/Essence" title="Essence">Essence</a></li> <li><a href="/wiki/Existence" title="Existence">Existence</a></li> <li><a href="/wiki/Experience" title="Experience">Experience</a></li> <li><a href="/wiki/Hypostatic_abstraction" title="Hypostatic abstraction">Hypostatic abstraction</a></li> <li><a href="/wiki/Idea" title="Idea">Idea</a></li> <li><a href="/wiki/Identity_(philosophy)" title="Identity (philosophy)">Identity</a></li> <li><a href="/wiki/Information" title="Information">Information</a> <ul><li><a href="/wiki/Data" title="Data">Data</a></li></ul></li> <li><a href="/wiki/Insight" title="Insight">Insight</a></li> <li><a href="/wiki/Intelligence" title="Intelligence">Intelligence</a></li> <li><a href="/wiki/Intention" title="Intention">Intention</a></li> <li><a href="/wiki/Linguistic_modality" class="mw-redirect" title="Linguistic modality">Linguistic modality</a></li> <li><a href="/wiki/Philosophy_of_matter" title="Philosophy of matter">Matter</a></li> <li><a href="/wiki/Meaning_(existential)" title="Meaning (existential)">Meaning</a></li> <li><a href="/wiki/Mental_representation" title="Mental representation">Mental representation</a></li> <li><a href="/wiki/Mind" title="Mind">Mind</a></li> <li><a href="/wiki/Motion" title="Motion">Motion</a></li> <li><a href="/wiki/Nature_(philosophy)" title="Nature (philosophy)">Nature</a></li> <li><a href="/wiki/Metaphysical_necessity" title="Metaphysical necessity">Necessity</a></li> <li><a href="/wiki/Object_(philosophy)" class="mw-redirect" title="Object (philosophy)">Object</a></li> <li><a href="/wiki/Ontology" title="Ontology">Ontology</a></li> <li><a href="/wiki/Pattern" title="Pattern">Pattern</a></li> <li><a href="/wiki/Perception" title="Perception">Perception</a></li> <li><a href="/wiki/Physical_object" title="Physical object">Physical object</a></li> <li><a href="/wiki/Principle" title="Principle">Principle</a></li> <li><a href="/wiki/Property_(philosophy)" title="Property (philosophy)">Property</a></li> <li><a href="/wiki/Qualia" title="Qualia">Qualia</a></li> <li><a href="/wiki/Quality_(philosophy)" title="Quality (philosophy)">Quality</a></li> <li><a href="/wiki/Reality" title="Reality">Reality</a></li> <li><a href="/wiki/Relations_(philosophy)" class="mw-redirect" title="Relations (philosophy)">Relation</a></li> <li><a href="/wiki/Self" title="Self">Self</a></li> <li><a href="/wiki/Soul" title="Soul">Soul</a></li> <li><a href="/wiki/Subject_(philosophy)" class="mw-redirect" title="Subject (philosophy)">Subject</a></li> <li><a href="/wiki/Substantial_form" title="Substantial form">Substantial form</a></li> <li><a href="/wiki/Thought" title="Thought">Thought</a></li> <li><a href="/wiki/Time" title="Time">Time</a></li> <li><a href="/wiki/Truth" title="Truth">Truth</a></li> <li><a href="/wiki/Type%E2%80%93token_distinction" title="Type–token distinction">Type–token distinction</a></li> <li><a href="/wiki/Universal_(metaphysics)" title="Universal (metaphysics)">Universal</a></li> <li><a href="/wiki/Unobservable" title="Unobservable">Unobservable</a></li> <li><a href="/wiki/Value_(ethics)" title="Value (ethics)">Value</a></li> <li><i><a href="/wiki/Index_of_metaphysics_articles" title="Index of metaphysics articles">more ...</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/List_of_metaphysicians" title="List of metaphysicians">Metaphysicians</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/Plato" title="Plato">Plato</a></li> <li><a href="/wiki/Aristotle" title="Aristotle">Aristotle</a></li> <li><a href="/wiki/Lucretius" title="Lucretius">Lucretius</a></li> <li><a href="/wiki/Proclus" title="Proclus">Proclus</a></li> <li><a href="/wiki/Plotinus" title="Plotinus">Plotinus</a></li> <li><a href="/wiki/Avicenna" title="Avicenna">Avicenna</a></li> <li><a href="/wiki/Duns_Scotus" title="Duns Scotus">Scotus</a></li> <li><a href="/wiki/Thomas_Aquinas" title="Thomas Aquinas">Aquinas</a></li> <li><a href="/wiki/Francisco_Su%C3%A1rez" title="Francisco Suárez">Suárez</a></li> <li><a href="/wiki/Ren%C3%A9_Descartes" title="René Descartes">Descartes</a></li> <li><a href="/wiki/Baruch_Spinoza" title="Baruch Spinoza">Spinoza</a></li> <li><a href="/wiki/John_Locke" title="John Locke">Locke</a></li> <li><a href="/wiki/Nicolas_Malebranche" title="Nicolas Malebranche">Malebranche</a></li> <li><a href="/wiki/Isaac_Newton" title="Isaac Newton">Newton</a></li> <li><a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Leibniz</a></li> <li><a href="/wiki/Christian_Wolff_(philosopher)" title="Christian Wolff (philosopher)">Wolff</a></li> <li><a href="/wiki/Thomas_Reid" title="Thomas Reid">Reid</a></li> <li><a href="/wiki/George_Berkeley" title="George Berkeley">Berkeley</a></li> <li><a href="/wiki/David_Hume" title="David Hume">Hume</a></li> <li><a href="/wiki/Immanuel_Kant" title="Immanuel Kant">Kant</a></li> <li><a href="/wiki/Georg_Wilhelm_Friedrich_Hegel" title="Georg Wilhelm Friedrich Hegel">Hegel</a></li> <li><a href="/wiki/Arthur_Schopenhauer" title="Arthur Schopenhauer">Schopenhauer</a></li> <li><a href="/wiki/Bernard_Bolzano" title="Bernard Bolzano">Bolzano</a></li> <li><a href="/wiki/S%C3%B8ren_Kierkegaard" title="Søren Kierkegaard">Kierkegaard</a></li> <li><a href="/wiki/Hermann_Lotze" title="Hermann Lotze">Lotze</a></li> <li><a class="mw-selflink selflink">Peirce</a></li> <li><a href="/wiki/Friedrich_Nietzsche" title="Friedrich Nietzsche">Nietzsche</a></li> <li><a href="/wiki/Alexius_Meinong" title="Alexius Meinong">Meinong</a></li> <li><a href="/wiki/Henri_Bergson" title="Henri Bergson">Bergson</a></li> <li><a href="/wiki/Alfred_North_Whitehead" title="Alfred North Whitehead">Whitehead</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Russell</a></li> <li><a href="/wiki/G._E._Moore" title="G. E. Moore">Moore</a></li> <li><a href="/wiki/R._G._Collingwood" title="R. G. Collingwood">Collingwood</a></li> <li><a href="/wiki/Ludwig_Wittgenstein" title="Ludwig Wittgenstein">Wittgenstein</a></li> <li><a href="/wiki/Martin_Heidegger" title="Martin Heidegger">Heidegger</a></li> <li><a href="/wiki/Rudolf_Carnap" title="Rudolf Carnap">Carnap</a></li> <li><a href="/wiki/Gilbert_Ryle" title="Gilbert Ryle">Ryle</a></li> <li><a href="/wiki/Jean-Paul_Sartre" title="Jean-Paul Sartre">Sartre</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">Quine</a></li> <li><a href="/wiki/Donald_Davidson_(philosopher)" title="Donald Davidson (philosopher)">Davidson</a></li> <li><a href="/wiki/P._F._Strawson" title="P. F. Strawson">Strawson</a></li> <li><a href="/wiki/G._E._M._Anscombe" title="G. E. M. Anscombe">Anscombe</a></li> <li><a href="/wiki/Gilles_Deleuze" title="Gilles Deleuze">Deleuze</a></li> <li><a href="/wiki/Michael_Dummett" title="Michael Dummett">Dummett</a></li> <li><a href="/wiki/David_Malet_Armstrong" title="David Malet Armstrong">Armstrong</a></li> <li><a href="/wiki/Hilary_Putnam" title="Hilary Putnam">Putnam</a></li> <li><a href="/wiki/Alvin_Plantinga" title="Alvin Plantinga">Plantinga</a></li> <li><a href="/wiki/Saul_Kripke" title="Saul Kripke">Kripke</a></li> <li><a href="/wiki/David_Lewis_(philosopher)" title="David Lewis (philosopher)">Lewis</a></li> <li><a href="/wiki/Jean_Baudrillard" title="Jean Baudrillard">Baudrillard</a></li> <li><a href="/wiki/Derek_Parfit" title="Derek Parfit">Parfit</a></li> <li><i><a href="/wiki/List_of_metaphysicians" title="List of metaphysicians">more ...</a></i></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Notable works</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/Sophist_(dialogue)" title="Sophist (dialogue)">Sophist</a></i> <span style="font-size:85%;">(c. 350 BC)</span></li> <li><i><a href="/wiki/Timaeus_(dialogue)" title="Timaeus (dialogue)">Timaeus</a></i> <span style="font-size:85%;">(c. 350 BC)</span></li> <li><i><a href="/wiki/Ny%C4%81ya_S%C5%ABtras" title="Nyāya Sūtras">Nyāya Sūtras</a></i> <span style="font-size:85%;">(c. 200 BC)</span></li> <li><i><a href="/wiki/De_rerum_natura" title="De rerum natura">De rerum natura</a></i> <span style="font-size:85%;">(c. 80 BC)</span></li> <li><i><a href="/wiki/Metaphysics_(Aristotle)" title="Metaphysics (Aristotle)">Metaphysics</a></i> <span style="font-size:85%;">(c. 50)</span></li> <li><i><a href="/wiki/Enneads" title="Enneads">Enneads</a></i> <span style="font-size:85%;">(c. 270)</span></li> <li><i><a href="/wiki/Daneshnameh-ye_Alai" class="mw-redirect" title="Daneshnameh-ye Alai">Daneshnameh-ye Alai</a></i> <span style="font-size:85%;">(c. 1000)</span></li> <li><i><a href="/wiki/Meditations_on_First_Philosophy" title="Meditations on First Philosophy">Meditations on First Philosophy</a></i> <span style="font-size:85%;">(1641)</span></li> <li><i><a href="/wiki/Ethics_(Spinoza_book)" class="mw-redirect" title="Ethics (Spinoza book)">Ethics</a></i> <span style="font-size:85%;">(1677)</span></li> <li><i><a href="/wiki/A_Treatise_Concerning_the_Principles_of_Human_Knowledge" title="A Treatise Concerning the Principles of Human Knowledge">A Treatise Concerning the Principles of Human Knowledge</a></i> <span style="font-size:85%;">(1710)</span></li> <li><i><a href="/wiki/Monadology" title="Monadology">Monadology</a></i> <span style="font-size:85%;">(1714)</span></li> <li><i><a href="/wiki/Critique_of_Pure_Reason" title="Critique of Pure Reason">Critique of Pure Reason</a></i> <span style="font-size:85%;">(1781)</span></li> <li><i><a href="/wiki/Prolegomena_to_Any_Future_Metaphysics" title="Prolegomena to Any Future Metaphysics">Prolegomena to Any Future Metaphysics</a></i> <span style="font-size:85%;">(1783)</span></li> <li><i><a href="/wiki/The_Phenomenology_of_Spirit" title="The Phenomenology of Spirit">The Phenomenology of Spirit</a></i> <span style="font-size:85%;">(1807)</span></li> <li><i><a href="/wiki/The_World_as_Will_and_Representation" title="The World as Will and Representation">The World as Will and Representation</a></i> <span style="font-size:85%;">(1818)</span></li> <li><i><a href="/wiki/Concluding_Unscientific_Postscript_to_Philosophical_Fragments" title="Concluding Unscientific Postscript to Philosophical Fragments">Concluding Unscientific Postscript to Philosophical Fragments</a></i> <span style="font-size:85%;">(1846)</span></li> <li><i><a href="/wiki/Being_and_Time" title="Being and Time">Being and Time</a></i> <span style="font-size:85%;">(1927)</span></li> <li><i><a href="/wiki/Being_and_Nothingness" title="Being and Nothingness">Being and Nothingness</a></i> <span style="font-size:85%;">(1943)</span></li> <li><i><a href="/wiki/Simulacra_and_Simulation" title="Simulacra and Simulation">Simulacra and Simulation</a></i> <span style="font-size:85%;">(1981)</span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related topics</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/Axiology" class="mw-redirect" title="Axiology">Axiology</a></li> <li><a href="/wiki/Cosmology" title="Cosmology">Cosmology</a></li> <li><a href="/wiki/Epistemology" title="Epistemology">Epistemology</a></li> <li><a href="/wiki/Feminist_metaphysics" title="Feminist metaphysics">Feminist metaphysics</a></li> <li><a href="/wiki/Interpretations_of_quantum_mechanics" title="Interpretations of quantum mechanics">Interpretations of quantum mechanics</a></li> <li><a href="/wiki/Mereology" title="Mereology">Mereology</a></li> <li><a href="/wiki/Meta_(prefix)" title="Meta (prefix)">Meta-</a></li> <li><a href="/wiki/Phenomenology_(philosophy)" title="Phenomenology (philosophy)">Phenomenology</a></li> <li><a href="/wiki/Philosophy_of_mind" title="Philosophy of mind">Philosophy of mind</a></li> <li><a href="/wiki/Philosophy_of_psychology" title="Philosophy of psychology">Philosophy of psychology</a></li> <li><a href="/wiki/Philosophy_of_self" title="Philosophy of self">Philosophy of self</a></li> <li><a href="/wiki/Philosophy_of_space_and_time" title="Philosophy of space and time">Philosophy of space and time</a></li> <li><a href="/wiki/Teleology" title="Teleology">Teleology</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><span class="noviewer" typeof="mw:File"><span title="Category"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/96/Symbol_category_class.svg/31px-Symbol_category_class.svg.png 2x" data-file-width="180" data-file-height="185" /></span></span> <a href="/wiki/Category:Metaphysics" title="Category:Metaphysics">Category</a></li> <li><span class="nowrap"><span class="noviewer" typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/18px-Socrates.png" decoding="async" width="18" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/27px-Socrates.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cd/Socrates.png/36px-Socrates.png 2x" data-file-width="326" data-file-height="500" /></span></span> </span><a href="/wiki/Portal:Philosophy" title="Portal:Philosophy">Philosophy&#32;portal</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="Classical_logic" 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="3"><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:Classical_logic" title="Template:Classical logic"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Classical_logic" title="Template talk:Classical logic"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Classical_logic" title="Special:EditPage/Template:Classical logic"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Classical_logic" style="font-size:114%;margin:0 4em"><a href="/wiki/Classical_logic" title="Classical logic">Classical logic</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">General</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/Quantifier_(logic)" title="Quantifier (logic)">Quantifiers</a></li> <li><a href="/wiki/Predicate_(mathematical_logic)" title="Predicate (mathematical logic)">Predicate</a></li> <li><a href="/wiki/Logical_connective" title="Logical connective">Connective</a></li> <li><a href="/wiki/Tautology_(logic)" title="Tautology (logic)">Tautology</a></li> <li><a href="/wiki/Truth_table" title="Truth table">Truth tables</a></li> <li><a href="/wiki/Truth_function" title="Truth function">Truth function</a></li> <li><a href="/wiki/Truth_value" title="Truth value">Truth value</a></li> <li><a href="/wiki/Well-formed_formula" title="Well-formed formula">Well-formed formula</a></li> <li><a href="/wiki/Idempotency_of_entailment" title="Idempotency of entailment">Idempotency of entailment</a></li> <li><a href="/wiki/Logicism" title="Logicism">Logicism</a></li> <li><a href="/wiki/Problem_of_multiple_generality" title="Problem of multiple generality">Problem of multiple generality</a></li> <li><a href="/wiki/Associative_property" title="Associative property">Associativity</a></li> <li><a href="/wiki/Distributive_property" title="Distributive property">Distribution</a></li> <li><a href="/wiki/Validity_(logic)" title="Validity (logic)">Validity</a></li> <li><a href="/wiki/Soundness" title="Soundness">Soundness</a></li></ul> </div></td><td class="noviewer navbox-image" rowspan="6" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:Logic.svg" class="mw-file-description"><img alt="Law of noncontradiction" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Logic.svg/75px-Logic.svg.png" decoding="async" width="75" height="25" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Logic.svg/113px-Logic.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e7/Logic.svg/150px-Logic.svg.png 2x" data-file-width="85" data-file-height="28" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Classical logics</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/Term_logic" title="Term logic">Term</a></li> <li><a href="/wiki/Propositional_calculus" title="Propositional calculus">Propositional</a></li> <li><a href="/wiki/First-order_logic" title="First-order logic">First-order</a></li> <li><a href="/wiki/Second-order_logic" title="Second-order logic">Second-order</a></li> <li><a href="/wiki/Higher-order_logic" title="Higher-order logic">Higher-order</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Principles</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/Commutativity_of_conjunction" title="Commutativity of conjunction">Commutativity of conjunction</a></li> <li><a href="/wiki/Law_of_excluded_middle" title="Law of excluded middle">Excluded middle</a></li> <li><a href="/wiki/Principle_of_bivalence" title="Principle of bivalence">Bivalence</a></li> <li><a href="/wiki/Law_of_noncontradiction" title="Law of noncontradiction">Noncontradiction</a></li> <li><a href="/wiki/Monotonicity_of_entailment" title="Monotonicity of entailment">Monotonicity of entailment</a></li> <li><a href="/wiki/Principle_of_explosion" title="Principle of explosion">Explosion</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Rules</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/De_Morgan%27s_laws" title="De Morgan&#39;s laws">De Morgan's laws</a></li> <li><a href="/wiki/Material_implication_(rule_of_inference)" title="Material implication (rule of inference)">Material implication</a></li> <li><a href="/wiki/Transposition_(logic)" class="mw-redirect" title="Transposition (logic)">Transposition</a></li> <li><a href="/wiki/Modus_ponens" title="Modus ponens">modus ponens</a></li> <li><a href="/wiki/Modus_tollens" title="Modus tollens">modus tollens</a></li> <li><a href="/wiki/Modus_ponendo_tollens" title="Modus ponendo tollens">modus ponendo tollens</a></li> <li><a href="/wiki/Constructive_dilemma" title="Constructive dilemma">Constructive dilemma</a></li> <li><a href="/wiki/Destructive_dilemma" title="Destructive dilemma">Destructive dilemma</a></li> <li><a href="/wiki/Disjunctive_syllogism" title="Disjunctive syllogism">Disjunctive syllogism</a></li> <li><a href="/wiki/Hypothetical_syllogism" title="Hypothetical syllogism">Hypothetical syllogism</a></li> <li><a href="/wiki/Absorption_(logic)" title="Absorption (logic)">Absorption</a></li></ul> </div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%">Introduction</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/Negation_introduction" title="Negation introduction">Negation</a></li> <li><a href="/wiki/Double_negation_introduction" class="mw-redirect" title="Double negation introduction">Double negation</a></li> <li><a href="/wiki/Existential_generalization" title="Existential generalization">Existential</a></li> <li><a href="/wiki/Universal_generalization" title="Universal generalization">Universal</a></li> <li><a href="/wiki/Biconditional_introduction" title="Biconditional introduction">Biconditional</a></li> <li><a href="/wiki/Conjunction_introduction" title="Conjunction introduction">Conjunction</a></li> <li><a href="/wiki/Disjunction_introduction" title="Disjunction introduction">Disjunction</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Elimination</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/Double_negation_elimination" class="mw-redirect" title="Double negation elimination">Double negation</a></li> <li><a href="/wiki/Existential_instantiation" title="Existential instantiation">Existential</a></li> <li><a href="/wiki/Universal_instantiation" title="Universal instantiation">Universal</a></li> <li><a href="/wiki/Biconditional_elimination" title="Biconditional elimination">Biconditional</a></li> <li><a href="/wiki/Conjunction_elimination" title="Conjunction elimination">Conjunction</a></li> <li><a href="/wiki/Disjunction_elimination" title="Disjunction elimination">Disjunction</a></li></ul> </div></td></tr></tbody></table><div> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bernard_Bolzano" title="Bernard Bolzano">Bernard Bolzano</a></li> <li><a href="/wiki/George_Boole" title="George Boole">George Boole</a></li> <li><a href="/wiki/Georg_Cantor" title="Georg Cantor">Georg Cantor</a></li> <li><a href="/wiki/Richard_Dedekind" title="Richard Dedekind">Richard Dedekind</a></li> <li><a href="/wiki/Augustus_De_Morgan" title="Augustus De Morgan">Augustus De Morgan</a></li> <li><a href="/wiki/Gottlob_Frege" title="Gottlob Frege">Gottlob Frege</a></li> <li><a href="/wiki/Kurt_G%C3%B6del" title="Kurt Gödel">Kurt Gödel</a></li> <li><a href="/wiki/Hugh_MacColl" title="Hugh MacColl">Hugh MacColl</a></li> <li><a href="/wiki/Giuseppe_Peano" title="Giuseppe Peano">Giuseppe Peano</a></li> <li><a class="mw-selflink selflink">Charles Sanders Peirce</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a></li> <li><a href="/wiki/Ernst_Schr%C3%B6der_(mathematician)" title="Ernst Schröder (mathematician)">Ernst Schröder</a></li> <li><a href="/wiki/Henry_M._Sheffer" title="Henry M. Sheffer">Henry M. Sheffer</a></li> <li><a href="/wiki/Alfred_Tarski" title="Alfred Tarski">Alfred Tarski</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">Willard Van Orman Quine</a></li> <li><a href="/wiki/Ludwig_Wittgenstein" title="Ludwig Wittgenstein">Ludwig Wittgenstein</a></li> <li><a href="/wiki/Jan_%C5%81ukasiewicz" title="Jan Łukasiewicz">Jan Łukasiewicz</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Works</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/Begriffsschrift" title="Begriffsschrift">Begriffsschrift</a></li> <li><a href="/wiki/Function_and_Concept" title="Function and Concept">Function and Concept</a></li> <li><a href="/wiki/The_Principles_of_Mathematics" title="The Principles of Mathematics">The Principles of Mathematics</a></li> <li><a href="/wiki/Principia_Mathematica" title="Principia Mathematica">Principia Mathematica</a></li> <li><a href="/wiki/Tractatus_Logico-Philosophicus" title="Tractatus Logico-Philosophicus">Tractatus Logico-Philosophicus</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="Pragmatism" 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:Pragmatism" title="Template:Pragmatism"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Pragmatism" title="Template talk:Pragmatism"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Pragmatism" title="Special:EditPage/Template:Pragmatism"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Pragmatism" style="font-size:114%;margin:0 4em"><a href="/wiki/Pragmatism" title="Pragmatism">Pragmatism</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Classical</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 class="mw-selflink selflink">Charles Sanders Peirce</a></li> <li><a href="/wiki/William_James" title="William James">William James</a></li> <li><a href="/wiki/John_Dewey" title="John Dewey">John Dewey</a></li> <li><a href="/wiki/Oliver_Wendell_Holmes_Jr." title="Oliver Wendell Holmes Jr.">Oliver Wendell Holmes Jr.</a></li> <li><a href="/wiki/F._C._S._Schiller" title="F. C. S. Schiller">F. C. S. Schiller</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Protopragmatists or related thinkers</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/George_Herbert_Mead" title="George Herbert Mead">George Herbert Mead</a></li> <li><a href="/wiki/Josiah_Royce" title="Josiah Royce">Josiah Royce</a></li> <li><a href="/wiki/George_Santayana" title="George Santayana">George Santayana</a></li> <li><a href="/wiki/W._E._B._Du_Bois" title="W. E. B. Du Bois">W. E. B. Du Bois</a></li> <li><a href="/wiki/Giovanni_Papini" title="Giovanni Papini">Giovanni Papini</a></li> <li><a href="/wiki/Giovanni_Vailati" title="Giovanni Vailati">Giovanni Vailati</a></li> <li><a href="/wiki/Hu_Shih" title="Hu Shih">Hu Shih</a></li> <li><a href="/wiki/Reinhold_Niebuhr" title="Reinhold Niebuhr">Reinhold Niebuhr</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Analytic, neo- and other</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/Richard_J._Bernstein" title="Richard J. Bernstein">Richard J. Bernstein</a></li> <li><a href="/wiki/Arthur_Fine" title="Arthur Fine">Arthur Fine</a></li> <li><a href="/wiki/Stanley_Fish" title="Stanley Fish">Stanley Fish</a></li> <li><a href="/wiki/Robert_Brandom" title="Robert Brandom">Robert Brandom</a></li> <li><a href="/wiki/Clarence_Irving_Lewis" class="mw-redirect" title="Clarence Irving Lewis">Clarence Irving Lewis</a></li> <li><a href="/wiki/Joseph_Margolis" title="Joseph Margolis">Joseph Margolis</a></li> <li><a href="/wiki/Hilary_Putnam" title="Hilary Putnam">Hilary Putnam</a></li> <li><a href="/wiki/Richard_Rorty" title="Richard Rorty">Richard Rorty</a></li> <li><a href="/wiki/Willard_van_Orman_Quine" class="mw-redirect" title="Willard van Orman Quine">Willard van Orman Quine</a></li> <li><a href="/wiki/Mike_Sandbothe" title="Mike Sandbothe">Mike Sandbothe</a></li> <li><a href="/wiki/Richard_Shusterman" title="Richard Shusterman">Richard Shusterman</a></li> <li><a href="/wiki/Jason_Stanley" title="Jason Stanley">Jason Stanley</a></li> <li><a href="/wiki/Robert_B._Talisse" title="Robert B. Talisse">Robert B. Talisse</a></li> <li><a href="/wiki/Stephen_Toulmin" title="Stephen Toulmin">Stephen Toulmin</a></li> <li><a href="/wiki/Roberto_Unger" class="mw-redirect" title="Roberto Unger">Roberto Unger</a></li> <li><a href="/wiki/Sidney_Hook" title="Sidney Hook">Sidney Hook</a></li> <li><a href="/wiki/Isaac_Levi" title="Isaac Levi">Isaac Levi</a></li> <li><a href="/wiki/Susan_Haack" title="Susan Haack">Susan Haack</a></li> <li><a href="/wiki/Nicholas_Rescher" title="Nicholas Rescher">Nicholas Rescher</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 authority-control" aria-labelledby="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q187520#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&amp;#124;text-top&amp;#124;10px&amp;#124;alt=Edit_this_at_Wikidata&amp;#124;link=https&amp;#58;//www.wikidata.org/wiki/Q187520#identifiers&amp;#124;class=noprint&amp;#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q187520#identifiers" title="Edit this at 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href="https://viaf.org/viaf/89203252">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/33077/">FAST</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJB48DrKPR4PPYBj6dkxDq">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/118592459">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n79034265">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb12027958b">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb12027958b">BnF data</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00452428">Japan</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://nla.gov.au/anbd.aut-an36519514">Australia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&amp;local_base=aut&amp;ccl_term=ica=jn19990006446&amp;CON_LNG=ENG">Czech Republic</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&amp;authority_id=XX953828">Spain</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.bnportugal.gov.pt/aut/catbnp/20859">Portugal</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" 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class="external text" href="https://lod.nl.go.kr/resource/KAC199621340">Korea</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://libris.kb.se/20dgcnvl1hg423j">Sweden</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dbn.bn.org.pl/descriptor-details/9810578113405606">Poland</a></span></li><li><span class="uid"><a class="external text" href="https://wikidata-externalid-url.toolforge.org/?p=8034&amp;url_prefix=https://opac.vatlib.it/auth/detail/&amp;id=495/172232">Vatican</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&amp;local_base=NLX10&amp;find_code=UID&amp;request=987007266321705171">Israel</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://urn.fi/URN:NBN:fi:au:finaf:000110544">Finland</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://cantic.bnc.cat/registre/981058513870206706">Catalonia</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://opac.kbr.be/LIBRARY/doc/AUTHORITY/14368293">Belgium</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://ci.nii.ac.jp/author/DA00205590?l=en">CiNii</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=24099">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://zbmath.org/authors/?q=ai:peirce.charles-sanders">zbMATH</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://dblp.org/pid/74/9322">DBLP</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet/MRAuthorID/137490">MathSciNet</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Artists</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.getty.edu/vow/ULANFullDisplay?find=&amp;role=&amp;nation=&amp;subjectid=500272519">ULAN</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">People</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://trove.nla.gov.au/people/812405">Trove</a></span><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://trove.nla.gov.au/people/1269252">2</a></span></li></ul></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-biographie.de/pnd118592459.html?language=en">Deutsche Biographie</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.deutsche-digitale-bibliothek.de/person/gnd/118592459">DDB</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Other</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.idref.fr/028387023">IdRef</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://snaccooperative.org/ark:/99166/w6sx7zmk">SNAC</a></span></li></ul></div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐api‐ext.codfw.main‐744c7589dd‐m7smp Cached time: 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