4. (noun)implication, logical implication, conditional relation a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false Synonyms: conditional relation, implication, deduction, entailment, import, significance, logical implication
5. (noun)implication a relation implicated by virtue of involvement or close connection (especially an incriminating involvement) Synonyms: conditional relation, deduction, entailment, import, significance, logical implication