Generalized quantifier: Difference between revisions

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In [[linguistics|linguistic]] [[semantics]], a '''generalized quantifier''' is an expression that denotes a [[Property (philosophy)|property]] of a property, also called a [[higher-order]] property. This is the standard semantics assigned to [[quantifier|quantified]] [[noun phrase]]s, also called [[determiner phrase]]s, in short:or DP for short. The DP ''every boy'' below says of a property X that the [[set theory|set]] of entities that are ''boys'' is a [[subset]] of the set of entities that have property X. So the following sentence says that the set of boys is a subset of the set of sleepers.

::Every boy sleeps.

::<math>\{x\,|\, x \mbox{ is a boy}\} \subseteq \{x\,|\,x \mbox{ sleeps}\}</math>