- Expression that denotes a set of sets
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In formal semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun phrases. For example, the generalized quantifier every boy denotes the set of sets of which every boy is a member: 展开
A version of type theory is often used to make the semantics of different kinds of expressions explicit. The standard construction defines the set of types recursively as follows:
1. e and t … 展开• Stanley Peters; Dag Westerståhl (2006). Quantifiers in language and logic. Clarendon Press. ISBN 978-0-19-929125-0. 展开
Monotonicity
Monotone increasing GQs
A generalized quantifier GQ is said to be monotone increasing (also called upward entailing) if, for every pair … 展开• Dag Westerståhl, 2011. 'Generalized Quantifiers'. Stanford Encyclopedia of Philosophy. 展开
CC-BY-SA 许可证中的维基百科文本 Generalized Quantifiers - Stanford Encyclopedia of Philosophy
网页2005年12月5日 · The term “generalized quantifier” reflects that these entities were introduced in logic as generalizations of the standard quantifiers of modern logic, …
Lindström quantifier - Wikipedia
In mathematical logic, a Lindström quantifier is a generalized polyadic quantifier. Lindström quantifiers generalize first-order quantifiers, such as the existential quantifier, the universal quantifier, and the counting quantifiers. They were introduced by Per Lindström in 1966. They were later studied for their applications in logic in computer science and database query languages.
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Quantifier (logic) - Wikipedia
网页In logic, a quantifier is an operator that specifies how many individuals in the domain of discourse satisfy an open formula. For instance, the universal quantifier in the first order …
Generalized quantifier - Wikiwand
网页In formal semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun phrases . For example, …
Generalized quantifier - Wikiwand articles
网页In formal semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun phras...
Notes to Generalized Quantifiers - Stanford Encyclopedia of …
网页Notes to Generalized Quantifiers. 1. The use of “quantifier” (German “ quantor ”, French “ quantificateur ”, etc. to denote \ (\forall\) and \ (\exists\) became established in logic …
Generalized Quantifiers - Stanford Encyclopedia of …
网页2005年12月5日 · We now have a precise notion of a generalized quantifier, of which ∀ and ∃ are instances, along with infinitely many others. Moreover, we see how to extend first-order logic FO to a logic FO(Q), by adding the …
7 - Generalized quantifiers - Cambridge University Press
网页Montague Grammar and related approaches had made clear the need for higher-type objects in natural language semantics. What Barwise, Cooper, and the others noticed …
Generalized quantifier - WikiMili, The Best Wikipedia Reader
网页2024年4月20日 · In formal semantics, a generalized quantifier (GQ) is an expression that denotes a set of sets. This is the standard semantics assigned to quantified noun …
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