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implication

implication

3 6.8
A logical relation where if one statement is true, another must be true
  • noun
  • /ˌɪmplɪˈkeɪʃən/
  • Specialized
translation icon : implicación lógica
  • A lot of people only made demands; they didn't know the logical implications of what they were demanding.
  • logical implication

This is what we call, you know, the, the, the problem that crops up in, in logic of existential implication, right?

Examples

  • The study was a perspective on the political implications of each image.

    Blog text (5)
  • As a simple implication, we have the following result.

    Academic text (2010)
  • OK, and note that this implication goes both ways.

  • And that means then it's a very simple implication of the theory.

  • What you do outside of the relationship has implications for what happens within the relationship.

    Blog text (5)
  • By implication then, if Congress can regulate the economy of wheat, it can regulate wheat production.

    Academic text (2004)
  • OK, now what's the implication if we change from hydrogen to deuterium?

  • If you're talking to everyone, then by implication, you're talking to no one.

  • Although this distinction may not be meaningful in a practical sense, it has definite theoretical implications.

    Academic text (2001)
  • In logic, an implication can be understood as the relationship where if the first statement is true, the second must also be true.

Synonyms

logical implication
vsimplication
  • Specialized
1 7.7

A connection between two statements that makes the second true if the first is true

is the same technical concept but named differently in terminology
conditional relation
vsimplication
  • Specialized
8.3

A link between two statements that says if one is true then the other must be true

is identical in meaning but uses an alternate label for the idea

Compounds

logical implication
  • Specialized
1 7.7

A connection between two statements that makes the second true if the first is true

Surface Forms

implication singular
implications plural

Morphology

implication = implicate (semi-transparent) = im + plic + ation

The connection to 'implicate' is clear, but the logical relationship is not a straightforward derivation.

Etymology

Implication comes from the Latin implicare 'to fold into' and gives the picture of one idea folding into another. In logic this is the relation 'if p, then q', so a logical implication is when the truth of the first statement means the second must be true.