Definition of universal quantifier in US English:

universal quantifier


  • A formal expression used in asserting that a stated general proposition is true of all the members of the delineated universe or class.

    • ‘Thus numberless descriptions are in effect universal quantifiers.’
    • ‘In systems of quantified modal logic, the modal operators are used in combination with the familiar existential and universal quantifiers (‘E’ and ‘A’ respectively) of ordinary, non-modal quantifier logic.’
    • ‘If, for example, we were to include among the extra-logical signs the implication sign, or the universal quantifier, then our definition of the concept of consequence would lead to results which obviously contradict ordinary usage.’
    • ‘These variables can be bound by standard existential and universal quantifiers (and not by constructibility quantifiers).’
    • ‘In formal mathematical logic, one makes frequent use of the existential and universal quantifiers.’