One of the mysteries of the English language finally explained.
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.’
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