{"id":25084,"date":"2020-09-09T10:03:40","date_gmt":"2020-09-09T14:03:40","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=25084"},"modified":"2020-09-09T10:03:43","modified_gmt":"2020-09-09T14:03:43","slug":"induction","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=25084","title":{"rendered":"Induction"},"content":{"rendered":"\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">The term &quot;Induction&quot; was first used in the phrase &quot;per modum inductionis&quot; by John Wallis in 1656 to prove that the limit of the ratio of the sum of the first m\u00b2 to m\u00b3 + m\u00b2 was 1\/3. <a href=\"https:\/\/t.co\/socDC0sZYD\">pic.twitter.com\/socDC0sZYD<\/a><\/p>&mdash; Fermat&#39;s Library (@fermatslibrary) <a href=\"https:\/\/twitter.com\/fermatslibrary\/status\/1302955175435472899?ref_src=twsrc%5Etfw\">September 7, 2020<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed-twitter wp-block-embed is-type-rich is-provider-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">I&#39;m pretty sure most historians credit Pascal for the first proof by induction on his treaty about the triangle.<\/p>&mdash; Vincent Pantal\ud83c\udf69ni (@panlepan) <a href=\"https:\/\/twitter.com\/panlepan\/status\/1303089796202590212?ref_src=twsrc%5Etfw\">September 7, 2020<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9,19],"tags":[],"class_list":["post-25084","post","type-post","status-publish","format-standard","hentry","category-histoire","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/25084","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25084"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/25084\/revisions"}],"predecessor-version":[{"id":25085,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/25084\/revisions\/25085"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25084"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25084"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25084"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}