IMPLICATION

deduction, entailment, implication

(noun) something that is inferred (deduced or entailed or implied); “his resignation had political implications”

significance, import, implication

(noun) 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”

implication

(noun) an accusation that brings into intimate and usually incriminating connection

implication

(noun) a relation implicated by virtue of involvement or close connection (especially an incriminating involvement); “he was suspected of implication in several robberies”

implication, logical implication, conditional relation

(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

Source: WordNet® 3.1

Etymology

Noun

implication (countable and uncountable, plural implications)

(uncountable) The act of implicating.

(uncountable) The state of being implicated.

(countable, usually, in the plural) A possible effect or result of a decision or action.

• There are serious implications for the environment of such reforms.

(countable, uncountable) An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words.

(countable, logic) The connective in propositional calculus that, when joining two predicates A and B in that order, has the meaning "if A is true, then B is true".

Logical consequence.

Source: Wiktionary

Im`pli*ca"tion, n. Etym: [L. implicatio: cf. F. implication.]

1. The act of implicating, or the state of being implicated. Three principal causes of firmness are. the grossness, the quiet contact, and the implication of component parts. Boyle.

2. An implying, or that which is implied, but not expressed; an inference, or something which may fairly be understood, though not expressed in words. Whatever things, therefore, it was asserted that the king might do, it was a necessary implication that there were other things which he could not do. Hallam.

Source: Webster’s Unabridged Dictionary 1913 Edition