Existential quantification

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Basics

Formal Domain of discourse Real numbers Solution Even number

16 related topics

Properties

Propositional function De Morgan's laws Rule of inference Existential introduction Existential instantiation

8 related topics

As adjoint

Category theory Elementary topoi Left adjoint Functor Power sets

8 related topics

Overview

Predicate logic Quantifier Existence Property Logical operator

10 related topics

Key facts & relationships

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Field: Mathematical logic
Statement: ∃ x P ( x ) {\displaystyle \exists xP(x)} is true when P ( x ) {\displaystyle P(x)} is true for at least one value of x {\displaystyle x} .
Symbolic statement: ∃ x P ( x ) {\displaystyle \exists xP(x)}
Type: Quantifier

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As adjoint

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Map overview Semantic statistics

Nodes47

Edges46

Triples24

Avg. degree1.96

Density0.042553

Components1

How this topic connects Entity context

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Existential quantification

Top relations

related to Notation · 10

Existential quantification → Afterwards, Bertrand Russell, For, Formulario, Giuseppe Peano, In, Peano, The, Through, Unicode

related to Basics · 5

Existential quantification → Consider, Either, In, It, This

related to Negation · 3

Existential quantification → For, The, There

is a · 2

Existential quantification → type of quantifier which asserts the existence of an object with a given property, universal quantification of that propositional function's negation

Field · 1

Existential quantification → Mathematical logic

Statement · 1

Existential quantification → ∃ x P ( x ) {\displaystyle \exists xP(x)} is true when P ( x ) {\displaystyle P(x)} is true for at least one value of x {\displaystyle x} .

Symbolic statement · 1

Existential quantification → ∃ x P ( x ) {\displaystyle \exists xP(x)}

Type · 1

Existential quantification → Quantifier

Important terminology Word statistics

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Important terminology

existential displaystyle quantification quantifier exists statement logic domain true predicate discourse number one 25 times natural symbolically given used also

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Existential quantification	Field	Mathematical logic	1.00	infobox
Existential quantification	Statement	∃ x P ( x ) {\displaystyle \exists xP(x)} is true when P ( x ) {\displaystyle P(x)} is true for at least one value of x {\displaystyle x} .	1.00	infobox
Existential quantification	Symbolic statement	∃ x P ( x ) {\displaystyle \exists xP(x)}	1.00	infobox
Existential quantification	Type	Quantifier	1.00	infobox
Existential quantification	is a	type of quantifier which asserts the existence of an object with a given property	0.90	text
Existential quantification	is a	universal quantification of that propositional function's negation	0.90	text
Existential quantification	related to Basics	Consider	0.60	section
Existential quantification	related to Basics	This	0.60	section
Existential quantification	related to Basics	It	0.60	section
Existential quantification	related to Basics	Either	0.60	section
Existential quantification	related to Basics	In	0.60	section
Existential quantification	related to Negation	The	0.60	section

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Min side: 3