The same as dyadic propositional function (q.v.). The distinction between relations in intension and relations in extension is the same as that for propositional functions. — Sometimes the word relation is used to mean a propositional function of two or more variables, and in this case one distinguishes binary (dyadic) relations, ternary (triadic) relations, etc.<\/p>\n
If R denotes a (binary) relation, and X and Y denote arguments, the notation XRY may be used, instead of R(X, Y), to mean that the two arguments stand in the relation denoted by R The domain of a relation R is the class of things x for which there exists at least one y such that xRy holds. The converse domain of a relation R is the class of things y for which there exists at least one x such that xRy. The field of a relation is the logical sum of the domain and the converse domain.<\/p>\n
See also Logic, formal, 8. — A.C.<\/p>\n
Whitehead and Russell, Principia Mathematica, 2nd edn , vol 1, Cambridge, England, 1925.<\/p>\n
Relation The same as dyadic propositional function (q.v.). The distinction between relations in intension and relations in extension is the same as that for propositional functions. — Sometimes the word relation is used to mean a propositional function of two or more variables, and in this case one distinguishes binary (dyadic) relations, ternary (triadic) relations, … Continue reading “Relation”<\/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-79203","post","type-post","status-publish","format-standard","hentry","category-encyclopedic-dictionary"],"_links":{"self":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts\/79203","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=79203"}],"version-history":[{"count":0,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts\/79203\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/media?parent=79203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/categories?post=79203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/tags?post=79203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}