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 ===
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== Links ==
 
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*[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]
 
 
 
=== References ===
 
  
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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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