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material implication

American

noun

Logic.

equivalence.

material implication British

noun

the truth-functional connective that forms a compound sentence from two given sentences and assigns the value false to it only when its antecedent is true and its consequent false, without consideration of relevance; loosely corresponds to the English if … then
a compound sentence formed with this connective

"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

Etymology

Origin of material implication

First recorded in 1900–05

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023