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In predicate logic, an existential quantification is the predication[1] of a property or relation to at least one member of the domain.[1] In laymen's terms, it simply refers to something. It is denoted by the logical operator symbol ? (pronounced "there exists" or "for some"), which is called the existential quantifier. Existential quantification is distinct from universal quantification (pronounced "for all"), which asserts that the property or relation holds for any members of the domain. Suppose you wish to write a formula which is true if and only if some natural number multiplied by itself is 25. A slow, brute-force approach you might try is the following 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, we rephrase the statement as This is a single statement using existential quantification.
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