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About: Filter quantifier     Goto   Sponge   NotDistinct   Permalink

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In mathematics, a filter on a set informally gives a notion of which subsets are "large". Filter quantifiers are a type of logical quantifier which, informally, say whether or not a statement is true for "most" elements of . Such quantifiers are often used in combinatorics, model theory (such as when dealing with ultraproducts), and in other fields of mathematical logic where (ultra)filters are used.