Difference between revisions of "Tautology"
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| + | ==Definition== | ||
'''Tautology''' is a sentence which is always true, not due to its word meanings but to its [[logical form]]. A tautology is also called a logical truth or a [[necessary truth]]. A sentence of [[propositional logic]] is a tautology when it is true for every possible assignment of [[truth value]]s to the [[propositional letters]] of that sentence. The formula p v Neg p is a tautology of propositional logic. A sentence of [[predicate logic]] is a tautology when it is true for every possible denotation of the variables and individual and predicate constants that it contains. The formula All(x) [ P(x) v Neg P(x) ] is a tautology of predicate logic. | '''Tautology''' is a sentence which is always true, not due to its word meanings but to its [[logical form]]. A tautology is also called a logical truth or a [[necessary truth]]. A sentence of [[propositional logic]] is a tautology when it is true for every possible assignment of [[truth value]]s to the [[propositional letters]] of that sentence. The formula p v Neg p is a tautology of propositional logic. A sentence of [[predicate logic]] is a tautology when it is true for every possible denotation of the variables and individual and predicate constants that it contains. The formula All(x) [ P(x) v Neg P(x) ] is a tautology of predicate logic. | ||
| − | + | == Links == | |
| − | + | *[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Tautology&lemmacode=140 Utrecht Lexicon of Linguistics] | |
| − | [http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Tautology&lemmacode=140 Utrecht Lexicon of Linguistics] | ||
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| + | == References == | ||
* Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago. | * Gamut, L.T.F. 1991. ''Logic, language, and meaning,'' Univ. of Chicago Press, Chicago. | ||
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[[Category:Semantics]] | [[Category:Semantics]] | ||
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Latest revision as of 07:12, 17 August 2014
Definition
Tautology is a sentence which is always true, not due to its word meanings but to its logical form. A tautology is also called a logical truth or a necessary truth. A sentence of propositional logic is a tautology when it is true for every possible assignment of truth values to the propositional letters of that sentence. The formula p v Neg p is a tautology of propositional logic. A sentence of predicate logic is a tautology when it is true for every possible denotation of the variables and individual and predicate constants that it contains. The formula All(x) [ P(x) v Neg P(x) ] is a tautology of predicate logic.
Links
References
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
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