{"id":2350,"date":"2025-11-16T13:24:56","date_gmt":"2025-11-16T13:24:56","guid":{"rendered":"https:\/\/hansakerman.se\/?p=2350"},"modified":"2025-11-16T13:24:56","modified_gmt":"2025-11-16T13:24:56","slug":"ett-indirekt-bevis-pa-min-niva","status":"publish","type":"post","link":"https:\/\/hansakerman.se\/?p=2350","title":{"rendered":"Ett indirekt bevis p\u00e5 min niv\u00e5"},"content":{"rendered":"\n<p>Bevis f\u00f6r att heltalen \u00e4r o\u00e4ndliga m\u00e5nga genom ett indirekt bevis (mots\u00e4gelse).<\/p>\n\n\n\n<p>Anta att heltalen \u00e4r \u00e4ndligt m\u00e5nga. L\u00e5t oss d\u00e5 s\u00e4tta det h\u00f6gsta heltalet som A.  A \u2208 \u2124 (A tillh\u00f6r m\u00e4ngden av heltal)<\/p>\n\n\n\n<p>D\u00e5 finns det alltid ett tal A + 1 &gt; A.&nbsp;<\/p>\n\n\n\n<p>Slutsats: Heltalen \u00e4r o\u00e4ndligt m\u00e5nga.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bevis f\u00f6r att heltalen \u00e4r o\u00e4ndliga m\u00e5nga genom ett indirekt bevis (mots\u00e4gelse). Anta att heltalen \u00e4r \u00e4ndligt m\u00e5nga. L\u00e5t oss d\u00e5 s\u00e4tta det h\u00f6gsta heltalet som A. A \u2208 \u2124 (A tillh\u00f6r m\u00e4ngden av heltal) D\u00e5 finns det alltid ett tal A + 1 &gt; A.&nbsp; Slutsats: Heltalen \u00e4r o\u00e4ndligt m\u00e5nga.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2350","post","type-post","status-publish","format-standard","hentry","category-noll","entry"],"_links":{"self":[{"href":"https:\/\/hansakerman.se\/index.php?rest_route=\/wp\/v2\/posts\/2350","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/hansakerman.se\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/hansakerman.se\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/hansakerman.se\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/hansakerman.se\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2350"}],"version-history":[{"count":1,"href":"https:\/\/hansakerman.se\/index.php?rest_route=\/wp\/v2\/posts\/2350\/revisions"}],"predecessor-version":[{"id":2351,"href":"https:\/\/hansakerman.se\/index.php?rest_route=\/wp\/v2\/posts\/2350\/revisions\/2351"}],"wp:attachment":[{"href":"https:\/\/hansakerman.se\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2350"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/hansakerman.se\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2350"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/hansakerman.se\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2350"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}