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  "body": "\n## Summary\n\nIn formal semantics, a **generalized quantifier** (**GQ**) is an expression that denotes a set of sets. This is the standard semantics assigned to [[quantified|0FYQMKFE77]] noun phrases. For example, the generalized quantifier *every boy* denotes the set of sets of which every boy is a member:\n\n$$\\{X \\mid \\forall x (x \\text{ is a boy} \\to x \\in X) \\}$$\n\nThis treatment of quantifiers has been essential in achieving a compositional semantics for sentences containing quantifiers.\n",
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