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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: {()}
The English language has a number of words that denote specific or approximate quantities that are themselves not numbers. [1] Along with numerals, and special-purpose words like some, any, much, more, every, and all, they are quantifiers. Quantifiers are a kind of determiner and occur in many constructions with other determiners, like articles ...
They argue that the concept ´determiner´ is Anglocentric, since it was developed on the basis of the grammar of English and similar languages of north-western Europe. The linguist Thomas Payne comments that the term determiner "is not very viable as a universal natural class", because few languages consistently place all the categories ...
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Quantifiers in semantics – such as the quantifier in the antecedent of a bound variable pronoun – can be expressed in two ways. There is an existential quantifier, ∃, meaning some. There is also a universal quantifier, ∀, meaning every, each, or all. Ambiguity arises when there are multiple quantifiers in one sentence.
This first division, based on categorization from A Comprehensive Grammar of the English Language, includes three categories: Central determiners occur after any predeterminers and before any postdeterminers; they tend to function as determinatives regardless of the presence or absence of other determiners in the noun phrase.
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