{"id":190825,"date":"2024-06-08T12:24:22","date_gmt":"2024-06-08T17:24:22","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2024\/06\/georg-cantor-contributions-to-the-founding-of-the-theory-of-transfinite-numbers"},"modified":"2024-06-08T12:24:22","modified_gmt":"2024-06-08T17:24:22","slug":"georg-cantor-contributions-to-the-founding-of-the-theory-of-transfinite-numbers","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2024\/06\/georg-cantor-contributions-to-the-founding-of-the-theory-of-transfinite-numbers","title":{"rendered":"Georg Cantor : Contributions to the Founding of the Theory of Transfinite Numbers"},"content":{"rendered":"<p><\/p>\n<p><iframe style=\"display: block; margin: 0 auto; width: 100%; aspect-ratio: 4\/3; object-fit: contain;\" src=\"https:\/\/www.youtube.com\/embed\/190825?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope;\n   picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>This is a series of videos that I decided to make on Georg Cantor\u2019s groundbreaking works published in 1,895 and 1,897 titled Contributions to the Founding of the Theory of Transfinite Numbers.<\/p>\n<p>This work could probably be counted among the most influential and significant works in mathematical history \u2014 Cantor\u2019s transfinite numbers changed the face of mathematics completely (although, not to everyone\u2019s pleasure). The impact of Cantor\u2019s work can\u2019t be underestimated.<\/p>\n<p>In this series of videos I will go through the definitions of aggregate, cardinal numbers, simply ordered aggregates, ordinal types and ordinal numbers amongst others. I will also go through some of the properties of these objects including arithmetical operations of cardinal numbers and ordinal types and culminating in the arithmetic of the ordinal numbers of the second number class.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a series of videos that I decided to make on Georg Cantor\u2019s groundbreaking works published in 1,895 and 1,897 titled Contributions to the Founding of the Theory of Transfinite Numbers. This work could probably be counted among the most influential and significant works in mathematical history \u2014 Cantor\u2019s transfinite numbers changed the face [\u2026]<\/p>\n","protected":false},"author":661,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2229],"tags":[],"class_list":["post-190825","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/190825","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/661"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=190825"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/190825\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=190825"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=190825"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=190825"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}