{"id":344,"date":"2008-04-03T01:39:25","date_gmt":"2008-04-03T01:39:25","guid":{"rendered":""},"modified":"2010-03-13T14:24:33","modified_gmt":"2010-03-13T13:24:33","slug":"interessantes-konzept","status":"publish","type":"post","link":"https:\/\/mentalschnupfen.org\/?p=344","title":{"rendered":"Interessantes Konzept"},"content":{"rendered":"<p><a href=\"http:\/\/www.cs.unc.edu\/~plaisted\/comp006\/Logic.ppt\">So<\/a> hatte ich den Begriff der nat\u00fcrlichen Zahl bisher nicht verstanden:<\/p>\n<blockquote><p>Consequence [des Kompaktheitssatzes, DL]: any theory that has an infinite model has models of arbitrary large cardinality. So, for instance, there are nonstandard models of Peano arithmetic with uncountably many natural numbers.<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>So hatte ich den Begriff der nat\u00fcrlichen Zahl bisher nicht verstanden: Consequence [des Kompaktheitssatzes, DL]: any theory that has an infinite model has models of arbitrary large cardinality. So, for instance, there are nonstandard models of Peano arithmetic with uncountably many natural numbers.<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=\/wp\/v2\/posts\/344"}],"collection":[{"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=344"}],"version-history":[{"count":0,"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=\/wp\/v2\/posts\/344\/revisions"}],"wp:attachment":[{"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=344"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=344"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mentalschnupfen.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=344"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}