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What are quantifiers?

What are quantifiers? Here are some definitions.

Noun
  1. plural of quantifier
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The epsilon operator is a term-forming operator which replaces quantifiers in ordinary predicate logic.
These variables can be bound by standard existential and universal quantifiers.
Horwich recognizes that if he used substitutional quantifiers, his theory would be finitely statable.
In formal mathematical logic, one makes frequent use of the existential and universal quantifiers.
Though indefinite by default, the absolute quantifiers can be rendered definite through the use of a definite determiner.
When I first began to work on this project, cliometric quantifiers and mathematical modelers were the cutting-edge interpreters of slavery.

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