TAUTOLOGY is the empty (needless) repetition of a word or a sentence, which is altogether the same either in respect to the sound, or even in respect to the sense. See Gnom. on Act 23:6, note on .-Rom 7:13, note on .<\/p>\n
As a syntactical term of the propositional calculus this is defined in the article on logic, formal (q.v.). Wittgenstein and Ramsey proposed to extend the concept of a tautology to disciplines involving quantifiers, by interpreting a quantified expression as a multiple (possibly infinite) conjunction or disjunction; under this extension, however, it no longer remains true that the test of a tautology is effective.<\/p>\n
The name law of tautology is given to either of the two dually related theorems of the propositional calculus,<\/p>\n
[p ? p] = p,<\/p>\n
pp = p,<\/p>\n
or either of the two corresponding dually related theorems of the algebra of classes,<\/p>\n
a ? a,<\/p>\n
a n a.<\/p>\n
Whitehead and Russell reserve the name principle of tautology for the theorem of the propositional calculus, [p ? p] ? p, but use law of tautology in the above senses. — A.C.<\/p>\n
L. Wittgenstein, Tractatus Logico-Philosophicus, New York and London, 1922. F. P. Ramsey, The foundations of mathematics, Proceedings of the London Mathematical Society, ser. 2, vol. 25 (1926), pp. 338-384; reprinted in his book of the same title, New York and London, 1931.<\/p>\n
TAUTOLOGY TAUTOLOGY is the empty (needless) repetition of a word or a sentence, which is altogether the same either in respect to the sound, or even in respect to the sense. See Gnom. on Act 23:6, note on .-Rom 7:13, note on . Fuente: Gnomon Technical Terms Tautology As a syntactical term of the propositional … Continue reading “Tautology”<\/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-88717","post","type-post","status-publish","format-standard","hentry","category-encyclopedic-dictionary"],"_links":{"self":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts\/88717","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=88717"}],"version-history":[{"count":0,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/posts\/88717\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/media?parent=88717"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/categories?post=88717"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.biblia.work\/dictionaries\/wp-json\/wp\/v2\/tags?post=88717"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}