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单词 cardinality quantifier
释义
cardinality quantifier

Logic
  • A type of quantifier Qx such that a sentence Qxφ(x) is true if and only if the class of objects satisfying the formula φ(x) is of a particular cardinality or among a particular class of cardinalities. For example, the Keisler quantifier Qx named for the mathematician H. Jerome Keisler (1936– ) is interpreted as ‘there exist uncountably many xs…’ so that Qxφ(x) is true in a model when there are at least ω1 many elements satisfying φ(x).


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