imply

Verb

WordNet 3.0

Verb (5)

  1. express or state indirectlySynonyms: connote
  2. suggest as a logically necessary consequence; in logic
  3. have as a logical consequence“The water shortage means that we have to stop taking long showers”Synonyms: entailmean
  4. suggest that someone is guiltySynonyms: incriminateinculpate
  5. have as a necessary feature“This decision involves many changes”Synonyms: involve
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Webster's Dictionary (GCIDE)

Imply \Im*ply"\, v. t. [imp. & p. p. Implied; p. pr. & vb. n. Implying.] [From the same source as employ. See Employ, Ply, and cf. Implicate, Apply.]

1.To infold or involve; to wrap up. [Obs.] "His head in curls implied." --Chapman. [1913 Webster]

2.To involve in substance or essence, or by fair inference, or by construction of law, when not include virtually; as, war implies fighting. [1913 Webster]

Where a malicious act is proved, a malicious intention is implied.— Bp. Sherlock.[1913 Webster]
When a man employs a laborer to work for him, . . . the act of hiring implies an obligation and a promise that he shall pay him a reasonable reward for his services.— Blackstone.[1913 Webster]

3.To refer, ascribe, or attribute. [Obs.] [1913 Webster]

Whence might this distaste arise? [1913 Webster]
If [from] neither your perverse and peevish will. To which I most imply it.— J. Webster.

Syn: To involve; include; comprise; import; mean; denote; signify; betoken. See Involve. [1913 Webster]

Free On-line Dictionary of Computing

implies implication imply

<logic> (=> or a thin right arrow) A binary Boolean function and logical connective. A => B is a true implication unless A is true and B is false. The truth table is

A B | A => B ----+------- F F | T F T | T T F | F T T | T

It is surprising at first that A => B is always true if A is false, but if X => Y then we would expect that (X & Z) => Y for any Z.

If A is actually an expression X & Y then the implication is called a syllogism.

(2009-10-28)

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