Difference between revisions of "Right upward monotonicity"

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==Definition==
 
'''Right upward monotonicity''' is the property of an [[NP]], interpreted as a [[quantifier]] Q, which has the property of being right [[upward monotonicity|upward monotone]] if and only if for all subsets X and Y of the domain of entities E condition (i) holds.
 
'''Right upward monotonicity''' is the property of an [[NP]], interpreted as a [[quantifier]] Q, which has the property of being right [[upward monotonicity|upward monotone]] if and only if for all subsets X and Y of the 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 upward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a superset of the interpretation of VP. Right upward monotonicity can also be defined for determiners.
 
So a true sentence of the form [<sub>S</sub> NP VP] with a right upward monotone NP entails the truth of [<sub>S</sub> NP VP'], where the interpretation of VP' is a superset of the interpretation of VP. Right upward 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+upward+monotonicity&lemmacode=352 Utrecht Lexicon of Linguistics]
[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Right+upward+monotonicity&lemmacode=352 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 18:28, 28 September 2014

Definition

Right upward monotonicity is the property of an NP, interpreted as a quantifier Q, which has the property of being right upward monotone if and only if for all subsets X and Y of the domain of entities E condition (i) holds.

(i)  if X in Q and X subset Y, then Y in Q

Right upward monotonicity can be tested as in (ii): all N is right upward monotone, at most two N is not.

(ii) All dogs walked rapidly          =>  all dogs walked
(iv) At most two dogs walked rapidly =/=> at most two dogs walked

So a true sentence of the form [S NP VP] with a right upward monotone NP entails the truth of [S NP VP'], where the interpretation of VP' is a superset of the interpretation of VP. Right upward 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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