Difference between revisions of "Properness"
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| + | ==Definition== | ||
'''Properness''' is a semantic property of [[NP]]s in [[Generalized Quantifier Theory]]. An NP is interpreted in a model M as a proper [[generalized quantifier]] Q if Q is neither the empty set nor the power set (i.e. the set of all subsets) of the domain of entities E. (More formally: Q =/= 0 and Q =/= Pow(E).) An NP is ''improper'' only if it is not proper. If there are no dogs in E, then ''all dogs'', for instance denotes the power set of E, and hence is an improper NP. A proper quantifier denotation Q is also called a ''sieve'' because it only lets through those VP denotations that together with Q make a true sentence. | '''Properness''' is a semantic property of [[NP]]s in [[Generalized Quantifier Theory]]. An NP is interpreted in a model M as a proper [[generalized quantifier]] Q if Q is neither the empty set nor the power set (i.e. the set of all subsets) of the domain of entities E. (More formally: Q =/= 0 and Q =/= Pow(E).) An NP is ''improper'' only if it is not proper. If there are no dogs in E, then ''all dogs'', for instance denotes the power set of E, and hence is an improper NP. A proper quantifier denotation Q is also called a ''sieve'' because it only lets through those VP denotations that together with Q make a true sentence. | ||
| − | + | == Links == | |
| − | + | *[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Properness&lemmacode=450 Utrecht Lexicon of Linguistics] | |
| − | [http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Properness&lemmacode=450 Utrecht Lexicon of Linguistics] | ||
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| + | == References == | ||
* Barwise, J. & R. Cooper 1981. ''Generalized Quantifiers and Natural Language,'' Linguistics and Philosophy 4, pp. 159-219 | * Barwise, J. & R. Cooper 1981. ''Generalized Quantifiers and Natural Language,'' Linguistics and Philosophy 4, pp. 159-219 | ||
* 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 19:13, 27 September 2014
Definition
Properness is a semantic property of NPs in Generalized Quantifier Theory. An NP is interpreted in a model M as a proper generalized quantifier Q if Q is neither the empty set nor the power set (i.e. the set of all subsets) of the domain of entities E. (More formally: Q =/= 0 and Q =/= Pow(E).) An NP is improper only if it is not proper. If there are no dogs in E, then all dogs, for instance denotes the power set of E, and hence is an improper NP. A proper quantifier denotation Q is also called a sieve because it only lets through those VP denotations that together with Q make a true sentence.
Links
References
- Barwise, J. & R. Cooper 1981. Generalized Quantifiers and Natural Language, Linguistics and Philosophy 4, pp. 159-219
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
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