Definition of universal quantifier in 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.

    ‘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.’
    • ‘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.’
    • ‘Thus numberless descriptions are in effect universal quantifiers.’
    • ‘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.’


universal quantifier

/ˌyo͞onəˈvərsəl ˈkwän(t)əˌfīər/ /ˌjunəˈvərsəl ˈkwɑn(t)əˌfaɪər/