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    Any predicate or relation that is not first-order definab... — Carmelics
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    Supports→Vague quantifiers such as 'most', 'few', and 'many' cannot be completely axiomatized in first-order logic.

    Any predicate or relation that is not first-order definable cannot be completely axiomatized within a first-order logic framework.

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    These quantifiers are not first-order definable (e.g., Landman 1991).Vague quantifiers such as 'most', 'few', and 'many' cannot be completely axiomat...

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    Monadic predicate logic (first-order logic restricted to unary predica...85%Second-order logic cannot be completely axiomatized by effective means...81%Vague quantifiers such as 'most', 'few', and 'many' cannot be complete...80%Many-sorted logic cannot be considered a proper extension of first-ord...80%

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    Concerning nonstandard quantifiers such as most, we have already sketched the generalized quantifier approach of Montague Grammar, and pointed out the alternative of using restricted quantifiers; an example might be (Most x: dog(x))friendly(x). Instead of viewing most as a second-order predicate, we can specify its semantics by analogy with classical quantifiers: The sample formula is true (under a given interpretation) just in case a majority of individuals satisfying dog(x) (when used as value

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