a quantifier indicating that the sentential function within its scope is true for all values of any variable included in the quantifier.
The 8 Parts Of Speech In EnglishThere are eight major parts of speech. Nouns name persons, places, things, ideas, or qualities, e.g., Franklin, boy, Yangtze River, shoreline, Bible, desk, fear, happiness. Pronouns usually substitute for nouns and function as nouns, e.g., I, you, he, she, it, we, they, myself, this, that, who, which, everyone. Verbs express actions, occurrences, or states of being, e.g., be, become, bunt, inflate, run. Adjectives describe or modify nouns or pronouns, e.g., …
Compare existential quantifier.
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British Dictionary definitions for universal quantifier
logic a formal device indicating that the open sentence that follows is true of every member of the relevant universe of interpretation, as (∀ x)(Fx → Gx) or (x)(Fx → Gx): literally, for everything, if it is an F it is a G; that is, all Fs are GsUsual symbol: ∀
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