- published: 09 Aug 2015
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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 turned E (∃) logical operator symbol, which, when used together with a predicate variable, is called an existential quantifier ("∃x" or "∃(x)"). Existential quantification is distinct from universal quantification ("for all"), which asserts that the property or relation holds for all members of the domain.
Symbols are encoded U+2203 ∃ THERE EXISTS (HTML ∃
· ∃
· as a mathematical symbol) and U+2204 ∄ THERE DOES NOT EXIST (HTML ∄
).
Consider a formula that states that some natural number multiplied by itself is 25.
This would seem to be a logical disjunction because of the repeated use of "or". However, the "and so on" makes this impossible to integrate and to interpret as a disjunction in formal logic. Instead, the statement could be rephrased more formally as
For you see me
For you see me
For you hear me
For you hear me
For you touch me
For you touch me
For you feel me
For you feel me
For you see me
For you see me
For you hear me
For you hear me
For you touch me
For you touch me
For you feel me
For you feel me
For you see me……………
Everything reflected
The eye can see
The you connected to me
For you see me
Celebrate one more day of this life and our eternity
For you see me
Celebrate one more day of this life and our eternity
For you see me
Celebrate one more day of this life and our eternity
For you see me
Celebrate one more day of this life and our eternity