b (1): a logical relation between two propositions that fails to hold only if the first is true and the second is false — see truth table table(2): a logical relationship between two propositions in which if the first is true the second is true (3): a statement exhibiting a relation of implication
I'm offended by his implication that women can't be good at mathematics.
He condemned the court and, by implication, the entire legal system.
He was shocked by the implication of his partner in the theft.
… but whereas Updike and Roth work to establish connection and coherence in the face of time's chaos, DeLillo is an artist of diffusion and dispersal, of implication and missing information. —A. O. Scott, New York Times Book Review, 21 May 2006
… the power of ideas to transform the world is itself accelerating. Although people readily agree with this observation when simply stated, very few people truly appreciate its profound implications. —Ray Kurzweil, Curious Minds, (2004) 2005
… the astronomer Edwin Hubble found that the universe is expanding, and by implication must have originated a finite time ago in an explosion popularly called the big bang. —Paul Davies, The New Physics, 1989