Variety (Semantics)
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Definition
Variety is a constraint that excludes the 'uninteresting' determiners which either always or never yield a true sentence. A determiner has the property of variety if and only if in a domain of entities E condition (i) holds.
(i) for some V,W,X,Y subset E: D(V,W) & Neg D(X,Y)
Assuming that at least n N, for instance, is not defined in a model where the cardinality of N is lower than n, all simple determiners show variety; in every model boolean combinations of certain determiners, such as one or no and at least three and at most two, do not.
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References
- Gamut, L.T.F. 1991. Logic, language, and meaning, Univ. of Chicago Press, Chicago.
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