Difference between revisions of "Restricted quantifier"

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==Definition==
 
 
 
'''Restricted quantifier''' is a quantifier which ranges over a subset of the [[universe of discourse]] selected by means of a [[predicate]]. Restricted quantification is sometimes represented as in (i), with the restricted quantifier between brackets and the predicate P indicating the subset:
 
'''Restricted quantifier''' is a quantifier which ranges over a subset of the [[universe of discourse]] selected by means of a [[predicate]]. Restricted quantification is sometimes represented as in (i), with the restricted quantifier between brackets and the predicate P indicating the subset:
  
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In (ii) quantification is restricted to P: all or some entities that are P have property Q. In natural language, quantifiers are always restricted; either by the common noun following the quantifying determiner (''every man, some woman'') or by an inherent meaning element (''everyone, something'').
 
In (ii) quantification is restricted to P: all or some entities that are P have property Q. In natural language, quantifiers are always restricted; either by the common noun following the quantifying determiner (''every man, some woman'') or by an inherent meaning element (''everyone, something'').
  
=== Links ===
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== Links ==
 
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*[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Restricted+quantifier&lemmacode=339 Utrecht Lexicon of Linguistics]
[http://www2.let.uu.nl/UiL-OTS/Lexicon/zoek.pl?lemma=Restricted+quantifier&lemmacode=339 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]]

Latest revision as of 17:32, 28 September 2014

Definition

Restricted quantifier is a quantifier which ranges over a subset of the universe of discourse selected by means of a predicate. Restricted quantification is sometimes represented as in (i), with the restricted quantifier between brackets and the predicate P indicating the subset:

(i)  [ All(x) : P(x) ] Q(x)
     [ ThereIs(x) : P(x) ] Q(x)

It can also be represented in standard predicate logic by means of connectives:

(ii) All(x) [ P(x) -> Q(x) ]
     ThereIs(x) [ P(x) & Q(x) ]

In (ii) quantification is restricted to P: all or some entities that are P have property Q. In natural language, quantifiers are always restricted; either by the common noun following the quantifying determiner (every man, some woman) or by an inherent meaning element (everyone, something).

Links

References

  • Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.