In linguistic semantics, a generalized quantifier is an expression that denotes a property of a property, also called a higher-order property. This is the standard semantics assigned to quantified noun phrases, also called determiner phrases, in short: DP. The DP every boy below says of a property X that the 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.
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- In linguistic semantics, a generalized quantifier is an expression that denotes a property of a property, also called a higher-order property. This is the standard semantics assigned to quantified noun phrases, also called determiner phrases, in short: DP. The DP every boy below says of a property X that the 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> This treatment of quantifiers has been essential in achieving a compositional semantics for sentences containing quantifiers.
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- In linguistic semantics, a generalized quantifier is an expression that denotes a property of a property, also called a higher-order property. This is the standard semantics assigned to quantified noun phrases, also called determiner phrases, in short: DP. The DP every boy below says of a property X that the 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.
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