{"id":1484,"date":"2009-07-11T04:08:58","date_gmt":"2009-07-11T02:08:58","guid":{"rendered":"http:\/\/deleet.dk\/?p=1484"},"modified":"2009-07-11T04:08:58","modified_gmt":"2009-07-11T02:08:58","slug":"implying-a-category-error","status":"publish","type":"post","link":"https:\/\/emilkirkegaard.dk\/en\/2009\/07\/implying-a-category-error\/","title":{"rendered":"Implying a category error"},"content":{"rendered":"<p>It sometimes happens that one is analyzing some theory and one discovers that the theory in some sense implies something meaningless.<\/p>\n<p>But that doesn\u2019t make sense when we think about it. Meaningfulness\/meaninglessness is only <em>applicable<\/em> to sentences, and not to propositions. Implication is only defined in relation to propositions. So when we encounter the scenario that a theory \u201cimplies something meaningless\u201d we should say that the theory implies that some sentence is meaningful but it isn\u2019t. In that way we can use an inference (MT) to conclude that the theory is false. We can\u2019t do that with something meaningless.<\/p>\n<p>When I write \u2018applicable\u2019 I mean only in meaning, not some possibility of some sort.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It sometimes happens that one is analyzing some theory and one discovers that the theory in some sense implies something meaningless. But that doesn\u2019t make sense when we think about it. Meaningfulness\/meaninglessness is only applicable to sentences, and not to propositions. Implication is only defined in relation to propositions. So when we encounter the scenario [&hellip;]<\/p>\n","protected":false},"author":17,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22,8],"tags":[195,548,758,759],"class_list":["post-1484","post","type-post","status-publish","format-standard","hentry","category-language-philosophy","category-philosophy","tag-category-error","tag-implication","tag-meaningfulness","tag-meaninglessness","entry"],"_links":{"self":[{"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/posts\/1484","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/users\/17"}],"replies":[{"embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/comments?post=1484"}],"version-history":[{"count":0,"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/posts\/1484\/revisions"}],"wp:attachment":[{"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/media?parent=1484"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/categories?post=1484"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/emilkirkegaard.dk\/en\/wp-json\/wp\/v2\/tags?post=1484"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}