implication meaning and definition

IMPLICATION noun

Definition of implication (noun)

1. something that is inferred (deduced or entailed or implied)
   • "his resignation had political implications"
   • synonyms: deduction, entailment
2. a meaning that is not expressly stated but can be inferred
   • "the significance of his remark became clear only later"; "the expectation was spread both by word and by implication"
   • synonyms: import, significance
3. an accusation that brings into intimate and usually incriminating connection
4. 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, logical implication
5. a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
   • "he was suspected of implication in several robberies"