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# quantifier

[kwon-tuh-fahy-er] /ˈkwɒn təˌfaɪ ər/
noun
1.
Logic. an expression, as “all” or “some,” that indicates the quantity of a proposition.
2.
a word, especially a modifier, that indicates the quantity of something.
Origin
1875-1880
1875-80; quantify + -er1
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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British Dictionary definitions for quantifier

## quantifier

/ˈkwɒntɪˌfaɪə/
noun
1.
(logic)
1. a symbol including a variable that indicates the degree of generality of the expression in which that variable occurs, as (∃x) in (∃x)Fx, rendered "something is an F", (x) in (x)(FxGx), rendered "all Fs are Gs"
2. any other symbol with an analogous interpretation: the existential quantifier, (∃x), corresponds to the words "there is something, x, such that …"
2.
(grammar) a word or phrase in a natural language having this role, such as some, all, or many in English
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
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quantifier in Technology
logic
An operator in predicate logic specifying for which values of a variable a formula is true. Universally quantified means "for all values" (written with an inverted A, LaTeX \forall) and existentially quantified means "there exists some value" (written with a reversed E, LaTeX \exists). To be unambiguous, the set to which the values of the variable belong should be specified, though this is often omitted when it is clear from the context (the "universe of discourse"). E.g.
Forall x . P(x) not (Exists x . not P(x))
meaning that any x (in some unspecified set) has property P which is equivalent to saying that there does not exist any x which does not have the property.
If a variable is not quantified then it is a free variable. In logic programming this usually means that it is actually universally quantified.
(2002-05-21)
The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
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### Difficulty index for quantifier

Few English speakers likely know this word

### Word Value for quantifier

0
24
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