imply

v. indirectly suggest, hint, infer

Implication can refer to:Logic:Logical implication as regarded in mathematical logic.Material conditional as regarded in philosophical logic.Entailment (pragmatics)Also, in linguistics, there are different specialized related notions:Implication (pragmatics)In mathematics  functions can be implicit.In forensics, medical diagnosis, or scientific investigation, a hypothetical cause is implicated or indicated when a reason for the condition can be found, given that cause.
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Verb
1. express or state indirectly
(synonym) connote
(hypernym) express, show, evince
(derivation) significance, import, implication
2. suggest as a logically necessary consequence; in logic
(hypernym) express, show, evince
(hyponym) presuppose, suppose
(derivation) implication, logical implication, conditional relation
3. have as a logical consequence; "The water shortage means that we have to stop taking long showers"
(synonym) entail, mean
(hypernym) necessitate
(derivation) deduction, entailment, implication
4. suggest that someone is guilty
(synonym) incriminate, inculpate
(hypernym) suggest, evoke, paint a picture
(derivation) implication
5. have as a necessary feature or consequence; entail; "This decision involves many changes"
(synonym) involve
(hypernym) necessitate, ask, postulate, need, require, take, involve, call for, demand
(hyponym) carry
(derivation) deduction, entailment, implication

(v. t.)
To refer, ascribe, or attribute.
  

(v. t.)
To involve in substance or essence, or by fair inference, or by construction of law, when not include virtually; as, war implies fighting.
  

(v. t.)
To infold or involve; to wrap up.
  

Synonyms and related words:
accuse, adumbrate, advert to, affect, allege, allegorize, allude to, approve, argue, arraign, article, assume, attest, be construed as, bespeak, betoken, bid fair, book, breathe, bring, bring accusation, bring charges, bring to book, bring to mind, call for, charge, cite, complain, comprise, connote, contain, demonstrate, denote, denounce, denunciate, display, drop a hint, entail, evidence, evince, exhibit, express, fasten on, fasten upon, finger, furnish evidence, give a hint, give indication of, give prospect of, give the cue, glance at, go to show, hang something on, hint, hint at, hold out hope, illustrate, impeach, implicate, import, impute, include, indicate, indict, infer, inform against, inform on, insinuate, intimate, involve, lay charges, lead to, lodge a complaint, lodge a plaint, make fair promise, make likely, manifest, mark, mean, mean to say, pin on, point indirectly to, point to, prefer charges, press charges, presume, presuppose, promise, prompt, put on report, raise expectation, refer to, report, reproach, require, set forth, show, show signs of, signal, signalize, signify, speak for itself, speak volumes, spell, stand fair to, stand for, subsume, suggest, suppose, symbolize, symptomatize, take, take for granted, take in, take to task, task, taunt with, tax, tell, tend to show, twit