{"id":7085,"date":"2022-09-22T15:05:49","date_gmt":"2022-09-22T22:05:49","guid":{"rendered":"https:\/\/mattfife.com\/?p=7085"},"modified":"2022-09-22T15:05:49","modified_gmt":"2022-09-22T22:05:49","slug":"godels-incompleteness-theorems-2","status":"publish","type":"post","link":"https:\/\/mattfife.com\/?p=7085","title":{"rendered":"G\u00f6del&#8217;s incompleteness theorems"},"content":{"rendered":"\n<p>G\u00f6del proved his 3 famous incompleteness theorems at the opening of the 1900&#8217;s, and I would argue that they are still probably the most profound discoveries in mathematics of the whole century. <\/p>\n\n\n\n<p>Veritasium gives one of the best descriptions of these proofs, and the mathematical developments that led to them.<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/HeQX2HjkcNo?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=en-US&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>G\u00f6del proved his 3 famous incompleteness theorems at the opening of the 1900&#8217;s, and I would argue that they are still probably the most profound discoveries in mathematics of the whole century. Veritasium gives one of the best descriptions of these proofs, and the mathematical developments that led to them.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[9,5],"tags":[],"class_list":["post-7085","post","type-post","status-publish","format-standard","hentry","category-cool","category-technical"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p4WECr-1Qh","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/7085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7085"}],"version-history":[{"count":1,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/7085\/revisions"}],"predecessor-version":[{"id":7086,"href":"https:\/\/mattfife.com\/index.php?rest_route=\/wp\/v2\/posts\/7085\/revisions\/7086"}],"wp:attachment":[{"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mattfife.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}