{"id":9383,"date":"2012-09-07T05:18:20","date_gmt":"2012-09-07T05:18:20","guid":{"rendered":"https:\/\/maverickphilosopher.blog\/index.php\/2012\/09\/07\/the-modal-aporetics-of-existential-generalization\/"},"modified":"2012-09-07T05:18:20","modified_gmt":"2012-09-07T05:18:20","slug":"the-modal-aporetics-of-existential-generalization","status":"publish","type":"post","link":"https:\/\/maverickphilosopher.blog\/index.php\/2012\/09\/07\/the-modal-aporetics-of-existential-generalization\/","title":{"rendered":"The Modal Aporetics of Existential Generalization"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"font-family: georgia,palatino;\">Consider this trio of propositions:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia,palatino;\">1. &#39;~(\u2203x)(x = Venus)&#39; is possibly true.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia,palatino;\">2. Existential Generalization warrants the inference of &#39;(\u2203y)~(\u2203x)(x = y)&#39; from &#0160;&#39;~(\u2203x)(x = Venus).&#39;<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia,palatino;\">3. &#39;(\u2203y)~(\u2203x)(x = y)&#39; is logically self-contradictory, hence necessarily false.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: georgia,palatino;\">Solve the triad, either by showing that the limbs are (collectively) logically consistent or by rejecting one or more of the limbs.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Consider this trio of propositions: 1. &#39;~(\u2203x)(x = Venus)&#39; is possibly true. 2. Existential Generalization warrants the inference of &#39;(\u2203y)~(\u2203x)(x = y)&#39; from &#0160;&#39;~(\u2203x)(x = Venus).&#39; 3. &#39;(\u2203y)~(\u2203x)(x = y)&#39; is logically self-contradictory, hence necessarily false. Solve the triad, either by showing that the limbs are (collectively) logically consistent or by rejecting one or more &hellip; <a href=\"https:\/\/maverickphilosopher.blog\/index.php\/2012\/09\/07\/the-modal-aporetics-of-existential-generalization\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;The Modal Aporetics of Existential Generalization&#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":[21,142,108,235],"tags":[],"class_list":["post-9383","post","type-post","status-publish","format-standard","hentry","category-aporetics","category-existence","category-logica-docens","category-modal-matters"],"_links":{"self":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/9383","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=9383"}],"version-history":[{"count":0,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/9383\/revisions"}],"wp:attachment":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/media?parent=9383"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/categories?post=9383"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/tags?post=9383"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}