{"id":11878,"date":"2010-01-29T18:30:12","date_gmt":"2010-01-29T18:30:12","guid":{"rendered":"https:\/\/maverickphilosopher.blog\/index.php\/2010\/01\/29\/trinity-and-set-theory\/"},"modified":"2010-01-29T18:30:12","modified_gmt":"2010-01-29T18:30:12","slug":"trinity-and-set-theory","status":"publish","type":"post","link":"https:\/\/maverickphilosopher.blog\/index.php\/2010\/01\/29\/trinity-and-set-theory\/","title":{"rendered":"Trinity and Set Theory"},"content":{"rendered":"<p style=\"text-align: justify\"><font face=\"Georgia\">Let S and T be mathematical sets. Now consider the following two propositions:<\/p>\n<p>1. S is a proper subset of T.<\/p>\n<p>2. S and T have the same number of elements.<\/p>\n<p>Are (1) and (2) consistent? That is, can they both be true? If yes, explain how. <\/p>\n<p>If you think (1) and (2) are consistent, then consider whether there is anything to the following analogy.&#0160;If there is, explain the analogy. There is a set G. G has three disjoint proper subsets, F, S, H. All four sets agree in cardinality: they have the same number of elements.<\/font> <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let S and T be mathematical sets. Now consider the following two propositions: 1. S is a proper subset of T. 2. S and T have the same number of elements. Are (1) and (2) consistent? That is, can they both be true? If yes, explain how. If you think (1) and (2) are consistent, &hellip; <a href=\"https:\/\/maverickphilosopher.blog\/index.php\/2010\/01\/29\/trinity-and-set-theory\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Trinity and Set Theory&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[481,288],"tags":[],"class_list":["post-11878","post","type-post","status-publish","format-standard","hentry","category-set-theory","category-trinity-and-incarnation"],"_links":{"self":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/11878","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=11878"}],"version-history":[{"count":0,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/posts\/11878\/revisions"}],"wp:attachment":[{"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/media?parent=11878"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/categories?post=11878"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/maverickphilosopher.blog\/index.php\/wp-json\/wp\/v2\/tags?post=11878"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}