A formal expression used in asserting that a stated general proposition is true of all the members of the delineated universe or class.
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Example sentencesExamples
These variables can be bound by standard existential and universal quantifiers (and not by constructibility 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.
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.
In formal mathematical logic, one makes frequent use of the existential and universal quantifiers.
Definition of universal quantifier in US English:
universal quantifier
noun
Logic
A formal expression used in asserting that a stated general proposition is true of all the members of the delineated universe or class.
〔逻〕全称量词
Example sentencesExamples
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.
These variables can be bound by standard existential and universal quantifiers (and not by constructibility quantifiers).
Thus numberless descriptions are in effect universal quantifiers.
In formal mathematical logic, one makes frequent use of the existential and 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.