{"id":215,"date":"2015-12-10T03:40:41","date_gmt":"2015-12-10T02:40:41","guid":{"rendered":"http:\/\/blogs.scienceforums.net\/pengkuan\/?p=215"},"modified":"2015-12-10T03:40:41","modified_gmt":"2015-12-10T02:40:41","slug":"continuous-set-and-continuum-hypothesis","status":"publish","type":"post","link":"http:\/\/blogs.scienceforums.net\/pengkuan\/2015\/12\/10\/continuous-set-and-continuum-hypothesis\/","title":{"rendered":"Continuous set and continuum hypothesis"},"content":{"rendered":"<p>This article explains why the cardinality of a set must be either Aleph0 or |\u211d|.<\/p>\n<p>1.\tRational numbers are discrete<br \/>\n2.\tReal numbers are continuous<br \/>\n3.\tCollectively exhaustive and mutually exclusive events<br \/>\n4.\tContinuum hypothesis<br \/>\n5.\tCardinality of discontinuous subsets of real numbers<\/p>\n<p>Please read the article at<br \/>\nPDF Continuous set and continuum hypothesis<br \/>\n<a href=\"http:\/\/pengkuanonmaths.blogspot.com\/2015\/12\/continuous-set-and-continuum-hypothesis.html\">http:\/\/pengkuanonmaths.blogspot.com\/2015\/12\/continuous-set-and-continuum-hypothesis.html<\/a><br \/>\nor<br \/>\nWord <a href=\"https:\/\/www.academia.edu\/19589645\/Continuous_set_and_continuum_hypothesis\">https:\/\/www.academia.edu\/19589645\/Continuous_set_and_continuum_hypothesis<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This article explains why the cardinality of a set must be either Aleph0 or |\u211d|. 1. Rational numbers are discrete 2. Real numbers are continuous 3. Collectively exhaustive and mutually exclusive events 4. Continuum hypothesis 5. Cardinality of discontinuous subsets &hellip; <a href=\"http:\/\/blogs.scienceforums.net\/pengkuan\/2015\/12\/10\/continuous-set-and-continuum-hypothesis\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-215","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/posts\/215","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/comments?post=215"}],"version-history":[{"count":0,"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/posts\/215\/revisions"}],"wp:attachment":[{"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/media?parent=215"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/categories?post=215"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/pengkuan\/wp-json\/wp\/v2\/tags?post=215"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}