{"id":641,"date":"2020-10-08T09:00:00","date_gmt":"2020-10-08T07:00:00","guid":{"rendered":"https:\/\/smalltalks.eu\/blog\/?p=641"},"modified":"2026-09-27T18:17:29","modified_gmt":"2026-09-27T16:17:29","slug":"les-limites-du-savoir-godel-et-le-probleme-de-linduction","status":"publish","type":"post","link":"https:\/\/smalltalks.eu\/blog\/2020\/10\/08\/les-limites-du-savoir-godel-et-le-probleme-de-linduction\/","title":{"rendered":"Les limites du savoir : G\u00f6del et le probl\u00e8me de l&#8217;induction"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">Deux limites fondamentales \u00e0 ce que nous pouvons savoir : l&#8217;une en math\u00e9matiques, l&#8217;autre dans les sciences de la nature.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Les th\u00e9or\u00e8mes d&#8217;incompl\u00e9tude de G\u00f6del<\/h3>\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<iframe loading=\"lazy\" title=\"Les th\u00e9or\u00e8mes d&amp;apos;incompl\u00e9tude de G\u00f6del\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/82jOF4Q6gBU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">En math\u00e9matiques, il existera toujours des \u00e9nonc\u00e9s vrais mais ind\u00e9montrables. Merci Kurt G\u00f6del\u2026<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Le probl\u00e8me de l&#8217;induction<\/h3>\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<iframe loading=\"lazy\" title=\"Le proble\u0300me de l&amp;apos;induction\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/ptJm_otaR5k?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\">Le probl\u00e8me pos\u00e9 par David Hume : de quel droit g\u00e9n\u00e9raliser \u00e0 partir d&#8217;observations pass\u00e9es ? L\u00ea Nguy\u00ean Hoang en propose une relecture bay\u00e9sienne.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dans la m\u00eame s\u00e9rie bay\u00e9sienne : <a href=\"https:\/\/smalltalks.eu\/blog\/?p=585\">Jugez le pari, pas le r\u00e9sultat<\/a>.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><em>Vid\u00e9os de Science \u00e9tonnante et de Science4All.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Deux limites fondamentales \u00e0 ce que nous pouvons savoir : l&#8217;une en math\u00e9matiques, l&#8217;autre dans les sciences de la nature. Les th\u00e9or\u00e8mes d&#8217;incompl\u00e9tude de G\u00f6del En math\u00e9matiques, il existera toujours des \u00e9nonc\u00e9s vrais mais ind\u00e9montrables. Merci Kurt G\u00f6del\u2026 Le probl\u00e8me de l&#8217;induction Le probl\u00e8me pos\u00e9 par David Hume : de quel droit g\u00e9n\u00e9raliser \u00e0 partir d&#8217;observations pass\u00e9es ? L\u00ea Nguy\u00ean Hoang en propose une relecture bay\u00e9sienne. Dans la m\u00eame s\u00e9rie bay\u00e9sienne : Jugez le pari, pas le r\u00e9sultat. Vid\u00e9os de&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/smalltalks.eu\/blog\/2020\/10\/08\/les-limites-du-savoir-godel-et-le-probleme-de-linduction\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[123,228,280,282,167,202],"tags":[],"class_list":["post-641","post","type-post","status-publish","format-standard","hentry","category-science-etonnante","category-science4all","category-sciences","category-sciences-mathematiques","category-theme-esprit-critique","category-theme-philosophie"],"_links":{"self":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/641","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/comments?post=641"}],"version-history":[{"count":1,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/641\/revisions"}],"predecessor-version":[{"id":745,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/posts\/641\/revisions\/745"}],"wp:attachment":[{"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/media?parent=641"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/categories?post=641"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/smalltalks.eu\/blog\/wp-json\/wp\/v2\/tags?post=641"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}