What does existential instantiation mean?
Definitions for existential instantiation
ex·is·ten·tial in·stan·ti·a·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word existential instantiation.
Wiktionary
existential instantiationnoun
In predicate logic, an inference rule of the form x P(x) u22A2 P(c), where c is a new symbol (not part of the original domain of discourse, but which can stand for an element of it (as in )).
Wikipedia
Existential instantiation
In predicate logic, existential instantiation (also called existential elimination) is a rule of inference which says that, given a formula of the form ( ∃ x ) ϕ ( x ) {\displaystyle (\exists x)\phi (x)} , one may infer ϕ ( c ) {\displaystyle \phi (c)} for a new constant symbol c. The rule has the restrictions that the constant c introduced by the rule must be a new term that has not occurred earlier in the proof, and it also must not occur in the conclusion of the proof. It is also necessary that every instance of x {\displaystyle x} which is bound to ∃ x {\displaystyle \exists x} must be uniformly replaced by c. This is implied by the notation P ( a ) {\displaystyle P\left({a}\right)} , but its explicit statement is often left out of explanations. In one formal notation, the rule may be denoted by ∃ x P ( x ) ⟹ P ( a ) {\displaystyle \exists xP\left({x}\right)\implies P\left({a}\right)} where a is a new constant symbol that has not appeared in the proof.
Numerology
Chaldean Numerology
The numerical value of existential instantiation in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of existential instantiation in Pythagorean Numerology is: 6
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"existential instantiation." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/existential+instantiation>.
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