Universal quantifier: Difference between revisions
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==Definition== | |||
'''Universal quantifier''' is a logical [[operator]] of [[predicate logic]], written ''All'', which makes it possible to express that all entities in the [[universe of discourse]] have a particular property. In (i), it is used to express that every entity has property P. | '''Universal quantifier''' is a logical [[operator]] of [[predicate logic]], written ''All'', which makes it possible to express that all entities in the [[universe of discourse]] have a particular property. In (i), it is used to express that every entity has property P. | ||
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It is a standard assumption that natural language expressions such as ''each girl'' and ''everyone'' contain (or are) universal quantifiers. | It is a standard assumption that natural language expressions such as ''each girl'' and ''everyone'' contain (or are) universal quantifiers. | ||
== Links == | |||
*[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Universal+quantifier&lemmacode=135 Utrecht Lexicon of Linguistics] | |||
[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Universal+quantifier&lemmacode=135 Utrecht Lexicon of Linguistics] | |||
== 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 16:46, 24 August 2014
Definition
Universal quantifier is a logical operator of predicate logic, written All, which makes it possible to express that all entities in the universe of discourse have a particular property. In (i), it is used to express that every entity has property P.
(i) All(x) [ P(x) ]
It is a standard assumption that natural language expressions such as each girl and everyone contain (or are) universal quantifiers.
Links
References
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
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