noun (n)

• something that is inferred (deduced or entailed or implied)(noun.cognition)

  Example:
  His resignation had political implications.
  

  Synonym:
  deduction, entailment
  

  source: wordnet30
• a meaning that is not expressly stated but can be inferred(noun.cognition)

  Example:
  The expectation was spread both by word and by implication.
  

  Synonym:
  import, significance
  

  source: wordnet30
• an accusation that brings into intimate and usually incriminating connection(noun.communication)

  source: wordnet30
• a logical relation between propositions p and q of the form `if p then q'; if p is true then q cannot be false(noun.linkdef)

  Synonym:
  conditional relation, logical implication
  

  source: wordnet30
• a relation implicated by virtue of involvement or close connection (especially an incriminating involvement)(noun.linkdef)

  Example:
  He was suspected of implication in several robberies.
  

  source: wordnet30
• The act of implicating, or the state of being implicated.(noun)

  source: webster1913