Difference between revisions of "Right downward monotonicity"
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+ | ==Definition== | ||
'''Right downward monotonicity''' is a particular semantic property of some [[NP]]s, interpreted as [[generalized quantifier]]s Q. Q has the property of being right [[downward monotonicity|downward monotone]] if and only if in a domain of entities E condition (i) holds. | '''Right downward monotonicity''' is a particular semantic property of some [[NP]]s, interpreted as [[generalized quantifier]]s Q. Q has the property of being right [[downward monotonicity|downward monotone]] if and only if in a domain of entities E condition (i) holds. | ||
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So, a true sentence of the form [<sub>S</sub> NP VP] with a right downward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a subset of the interpretation of VP. Right downward monotonicity can also be defined for determiners. | So, a true sentence of the form [<sub>S</sub> NP VP] with a right downward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a subset of the interpretation of VP. Right downward monotonicity can also be defined for determiners. | ||
− | + | == Links == | |
− | + | *[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Right+downward+monotonicity&lemmacode=348 Utrecht Lexicon of Linguistics] | |
− | [http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Right+downward+monotonicity&lemmacode=348 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 16:47, 28 September 2014
Definition
Right downward monotonicity is a particular semantic property of some NPs, interpreted as generalized quantifiers Q. Q has the property of being right downward monotone if and only if in a domain of entities E condition (i) holds.
(i) for all X,Y subset E: if X in Q, and Y subset X, then Y in Q
Right downward monotonicity can be tested as in (ii): not every N is right downward monotone, every N is not.
(ii) Not every dog walks => not every dog walks rapidly Every dog walks =/=> every dog walks rapidly
So, a true sentence of the form [_{S} NP VP] with a right downward monotone NP entails the truth of [_{S} NP VP'], where the interpretation of VP' is a subset of the interpretation of VP. Right downward monotonicity can also be defined for determiners.
Links
References
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
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