implication (Noun) — Something that is inferred (deduced, entailed or implied). ex. "his resignation had political implications"
implication (Noun) — A meaning that is not expressly stated but can be inferred. ex. "the expectation was spread both by word and by implication"
implication (Noun) — An accusation that brings into intimate and usually incriminating connection.
implication (Noun) — A logical relation between propositions p and q of the form 'if p then q'; if p is true then q cannot be false.
implication (Noun) — A relation implicated by virtue of involvement or close connection (especially an incriminating involvement). ex. "he was suspected of implication in several robberies"