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definitions

material implication

noun Logic.

equivalence(def 4a).

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Origin of material implication

First recorded in 1900–05
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019
British Dictionary definitions for material implication

material implication

noun logic

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