existential quantifier

E e

Transcription

- US Pronunciation
- US IPA
- /ˌeg-(ˌ)zis-ˈten(t)-shəl, ˌek-(ˌ)sis- ˈkwɒn təˌfaɪ ər/

- US Pronunciation
- US IPA
- /ˌeg-(ˌ)zis-ˈten(t)-shəl, ˌek-(ˌ)sis- ˈkwɒn təˌfaɪ ər/

Definitions of existential quantifier words

abbreviation Technical meaning of EXISTENTIAL QUANTIFIER quantifier 3
noun Definition of existential 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. See also first order logic. 1
noun existential quantifier a formal device, for which the conventional symbol is ∃, which indicates that the open sentence that follows is true of at least one member of the relevant universe of interpretation, as (∃x) Fx meaning "something is (an) F," "something Fs," or "there are (some) Fs." 0
noun existential quantifier (logic) The operator, represented by the symbol ∃, used in predicate calculus to indicate that a predicate is true for at least one member of a specified set. Verbal equivalents include "there exists" and "there is". 0

See all 4 definitions of existential quantifier

Information block about the term

Parts of speech for Existential quantifier

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

Full grammatical hierarchy of Existential quantifier

existential quantifier popularity

A common word. It’s meaning is known to most children of preschool age. About 91% of English native speakers know the meaning and use the word.

Most Europeans know this English word. The frequency of it’s usage is somewhere between "mom" and "screwdriver".

existential quantifier usage trend in Literature

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