{"id":950,"date":"2022-07-28T15:29:55","date_gmt":"2022-07-28T19:29:55","guid":{"rendered":"http:\/\/people.clas.ufl.edu\/ufhatch\/?p=950"},"modified":"2026-03-19T09:03:22","modified_gmt":"2026-03-19T13:03:22","slug":"aristotles-syllogistic-logic","status":"publish","type":"post","link":"https:\/\/people.clas.ufl.edu\/ufhatch\/2022\/07\/28\/aristotles-syllogistic-logic\/","title":{"rendered":"Aristotle&#8217;s Syllogistic Logic"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Aristotle&#8217;s Syllogistic Logic<\/h1>\n\n\n\n<ol class=\"wp-block-list\"><li>The &#8216;usual&#8217; example of the &#8216;Barbara&#8217; syllogism:<br>\n<center><br>\nAll men are mortal,<br>\nSocrates is a man,<br>\ntherefore<br>\nSocrates is mortal.<br>\n<\/center>\n<\/li>\n<li>Another (inference) form:<br>\n<center><br>\nAll men are mortal,<br>\nAll Greeks are men,<br>\ntherefore<br>\nAll Greeks are mortal.<br>\n<\/center>\n<\/li>\n<li>The same, in the form of an implication:<br>\n<center><br>\nIf all men are mortal<br>\nand all Greeks are men,<br>\nthen all Greeks are mortal.<br>\n<\/center>\n<\/li>\n<li>Generalized:<br>\n<center><br>\nIf all B is A<br>\nand all C is B,<br>\nthen all C is A.<br>\n<\/center>\n<\/li>\n<li>The actual Aristotelian syllogism:<br>\n<center><br>\nIf A is predicated of all B<br>\nand B is predicated of all C,<br>\nthen A is predicated of all C.<br>\n<\/center>\n<\/li><\/ol>\n\n\n\n<p>A thorough discussion of Aristotle&#8217;s logic may be found in: <br> Jan Lukasiewicz. <em>Aristotle&#8217;s Syllogistic from the Standpoint of Modern Formal Logic<\/em>. Oxford, 1951.<\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1262,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"featured_post":"off","footnotes":"","_links_to":"","_links_to_target":""},"categories":[4,5],"tags":[],"class_list":["post-950","post","type-post","status-publish","format-standard","hentry","category-history-of-science","category-study-guide"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/posts\/950","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/users\/1262"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/comments?post=950"}],"version-history":[{"count":3,"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/posts\/950\/revisions"}],"predecessor-version":[{"id":1339,"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/posts\/950\/revisions\/1339"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/media?parent=950"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/categories?post=950"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/ufhatch\/wp-json\/wp\/v2\/tags?post=950"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}