implication in WordNet English dictionary

1. 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  logical implication  conditional relation 
   
2. something that is inferred (deduced or entailed or implied)
   "his resignation had political implications"
   deduction  entailment  implication 
   
3. 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"
   significance  import  implication 
   
4. an accusation that brings into intimate and usually incriminating connection
   implication 
   
5. a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)
   "he was suspected of implication in several robberies"
   implication