{"id":42135,"date":"2022-09-28T14:13:48","date_gmt":"2022-09-28T19:13:48","guid":{"rendered":"https:\/\/www.biblia.work\/dictionaries\/dedekinds-postulate\/"},"modified":"2022-09-28T14:13:48","modified_gmt":"2022-09-28T19:13:48","slug":"dedekinds-postulate","status":"publish","type":"post","link":"https:\/\/www.biblia.work\/dictionaries\/dedekinds-postulate\/","title":{"rendered":"Dedekind’s postulate"},"content":{"rendered":"

Dedekind’s postulate<\/h2>\n

If K1 and K2 are any two non-empty parts of K, such that every element of K belongs either to K1 or to K2 and every element of K1 precedes every element of K2, then there is at least one element x in K such that (1) any element that precedes x belongs to K1, and (2) any element that follows x belongs to K2. Here K is a class ordered by a relation R (see order), and it is said that y precedes z, and that z follows y, if yRz and y?z. If K is densely ordered by R and in addition satisfies Dedekind’s postulate, it is said to have continuous order. — C.A.B.<\/p>\n

Fuente: The Dictionary of Philosophy<\/b><\/i><\/h4>\n","protected":false},"excerpt":{"rendered":"

Dedekind’s postulate If K1 and K2 are any two non-empty parts of K, such that every element of K belongs either to K1 or to K2 and every element of K1 precedes every element of K2, then there is at least one element x in K such that (1) any element that precedes x belongs … Continue reading “Dedekind’s postulate”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-42135","post","type-post","status-publish","format-standard","hentry","category-encyclopedic-dictionary"],"_links":{"self":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts\/42135","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/comments?post=42135"}],"version-history":[{"count":0,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts\/42135\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/media?parent=42135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/categories?post=42135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/tags?post=42135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}