a quantifier indicating that the sentential function within its scope is true for all values of any variable included in the quantifier.
Compare existential quantifier.
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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: ∀
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012