implication

[im-pli-key-shuhn]
noun
1.
something implied or suggested as naturally to be inferred or understood: to resent an implication of dishonesty.
2.
the act of implying: His implication of immediate changes surprised us.
3.
the state of being implied: to know only by implication.
4.
Logic. the relation that holds between two propositions, or classes of propositions, in virtue of which one is logically deducible from the other.
5.
the act of implicating: the implication of his accomplices.
6.
the state of being implicated: We heard of his implication in a conspiracy.
7.
Usually, implications. relationships of a close or intimate nature; involvements: the religious implications of ancient astrology.

Origin:
1400–50; late Middle English implicacio(u)n < Latin implicātiōn- (stem of implicātiō) an interweaving, equivalent to implicāt(us) (see implicate) + -iōn- -ion

implicational, adjective
nonimplication, noun


7. associations, connections.
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World English Dictionary
implication (ˌɪmplɪˈkeɪʃən)
 
n
1.  the act of implicating or the state of being implicated
2.  something that is implied; suggestion: the implication of your silence is that you're bored
3.  logic
 a.  the operator that forms a sentence from two given sentences and corresponds to the English ifthen
 b.  a sentence so formed. Usually written p→q or p⊃q, where p,q are the component sentences, it is true except when p (the antecedent) is true and q (the consequent) is false
 c.  the relation between such sentences
 
impli'cational
 
adj

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

implication
"involvement, interweaving," early 15c., from L. implicationem (nom. implicatio) "interweaving, entanglement," from implicatus, pp. of implicare "involve, entangle, connect closely," from in- "in" + plicare "to fold" (see ply).

implications
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
But there are more far-reaching societal implications to consider.
When you think that way, you have to always consider the long-run implications
  of short-term actions.
It became a kind of tautology that had enormously powerful policy implications,
  in theory.
Understanding what caused the extinction has implications for conservation
  biology.
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