Existential quantification

Existential quantification
Type	Quantifier
Field	Mathematical logic
Statement	is true when is true for at least one value of .
Symbolic statement

In predicate logic, an existential quantification is a type of quantifier, a logical constant which is interpreted as "there exists", "there is at least one", or "for some". It is usually denoted by the logical operator symbol ∃, which, when used together with a predicate variable, is called an existential quantifier (" $\exists x$ " or " $\exists(x)$ " or " $(\exists x)" [1]$ ). Existential quantification is distinct from universal quantification ("for all"), which asserts that the property or relation holds for all members of the domain.^[2]^[3] Some sources use the term existentialization to refer to existential quantification.^[4]

Basics

= it means ur above the tiering system

^ Bergmann, Merrie (2014). The Logic Book. McGraw Hill. ISBN 978-0-07-803841-9.
^ "Predicates and Quantifiers". www.csm.ornl.gov. Retrieved 2020-09-04.
^ "1.2 Quantifiers". www.whitman.edu. Retrieved 2020-09-04.
^ Allen, Colin; Hand, Michael (2001). Logic Primer. MIT Press. ISBN 0262303965.

[1] Bergmann, Merrie (2014). The Logic Book. McGraw Hill. ISBN 978-0-07-803841-9.

[2] "Predicates and Quantifiers". www.csm.ornl.gov. Retrieved 2020-09-04.

[3] "1.2 Quantifiers". www.whitman.edu. Retrieved 2020-09-04.

[4] Allen, Colin; Hand, Michael (2001). Logic Primer. MIT Press. ISBN 0262303965.

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