{"id":3752,"date":"2019-05-29T05:07:03","date_gmt":"2019-05-29T05:07:03","guid":{"rendered":"https:\/\/maverickphilosopher.blog\/index.php\/2019\/05\/29\/how-much-logic-do-i-need\/"},"modified":"2019-05-29T05:07:03","modified_gmt":"2019-05-29T05:07:03","slug":"how-much-logic-do-i-need","status":"publish","type":"post","link":"https:\/\/maverickphilosopher.blog\/index.php\/2019\/05\/29\/how-much-logic-do-i-need\/","title":{"rendered":"How Much Logic Do I Need?"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino; font-size: 12pt;\">A reader who reports that his main interest is in contemporary metaphysics inquires:<\/span><\/p>\n<blockquote>\n<p><span style=\"font-family: georgia, palatino; font-size: 12pt;\">Should I learn as much logic as humanly possible during my PhD? Or should I learn only what I need along the way? I have a basic grasp of symbolic and predicate logic, but little meta-logic.<\/span><\/p>\n<\/blockquote>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino; font-size: 12pt;\">First of all, it makes no sense to oppose symbolic to predicate logic.&#0160; Modern symbolic logic includes both propositional logic and predicate logic.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino; font-size: 12pt;\">Second, learn what you need as you go along.&#0160; For example, existence is one of the central topics in <em>metaphysica generalis<\/em>. To work on this topic in an informed way you have to understand the modern quantificational treatment of existence in mathematical logic.&#0160;<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino; font-size: 12pt;\">Here is the minimum required for doing metaphysics. First, a thorough grounding in traditional formal logic including the Aristotelian syllogistic. Second, modern symbolic logic including the propositional calculus and first-order predicate logic with identity.&#0160; Third, some familiarity with axiomatics and the concepts of metalogic including consistency and completeness of axiom systems.&#0160; Fourth, axiomatic set theory. Fifth, some (alethic) modal logic both propositional and quantified.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia, palatino; font-size: 12pt;\">The best way to master these subjects, or at least the first two mentioned, is by teaching them to undergraduates.&#0160;&#0160;<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A reader who reports that his main interest is in contemporary metaphysics inquires: Should I learn as much logic as humanly possible during my PhD? Or should I learn only what I need along the way? I have a basic grasp of symbolic and predicate logic, but little meta-logic. First of all, it makes no &hellip; <a href=\"https:\/\/maverickphilosopher.blog\/index.php\/2019\/05\/29\/how-much-logic-do-i-need\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;How Much Logic Do I Need?&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[108,72],"tags":[],"class_list":["post-3752","post","type-post","status-publish","format-standard","hentry","category-logica-docens","category-sage-advice"],"_links":{"self":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/3752","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/comments?post=3752"}],"version-history":[{"count":0,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/3752\/revisions"}],"wp:attachment":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/media?parent=3752"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/categories?post=3752"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/tags?post=3752"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}