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logical implication

logical implication

1 7.7
A connection between two statements that makes the second true if the first is true
  • noun
  • /ˈlɒdʒɪkəl ɪmˈplɪkeɪʃən/
  • Specialized
translation icon : implicación lógica
  • Understanding a logical implication is crucial in deducing conclusions based on initial premises in mathematics.

Examples

  • The logical implication is that students who do not succeed have tended to lack the unwavering commitment necessary to realize their goals.

    Academic text (2009)
  • In formal logic, a logical implication states that if the first proposition is true, then the second must also be true.

  • You may not intend it as such, but that is the logical implication.

    Blog text (13)
  • First, let's say you are right about the logical implications of Akin's position.

    Blog text (5)
  • A lot of people only made demands; they didn't know the logical implications of what they were demanding.

    Academic text (1992)
  • The concept of an intelligence explosion, which is itself a logical implication, should not be used to make further inferences and estimations without additional evidence.

    Blog text (6)
  • These are questions about the logical implications of moral relativism, not necessarily the practical implications—questions you failed to answer, I might add.

    Blog text (24)
  • The logical implication, then, is that a customer-pays provision, however one-sided it might appear, would still be legal under state law if it were adequately disclosed.

    Blog text (9)
  • The teacher explained that a logical implication occurs when one statement necessarily follows from another.

Synonyms

implication
vslogical implication
  • Specialized
3 6.8

A logical relation where if one statement is true, another must be true

is used more generally rather than as a strict technical label
conditional
vslogical implication
  • Specialized
2 3.8

A sentence that says what will happen if something else happens

describes the abstract necessary relation rather than the sentence form
conditional relation
vslogical implication
  • Specialized
8.3

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

is the general description rather than this specific phrasing
entailment
vslogical implication
8.6

A result that follows from something said or done

focuses on the relation itself rather than on the inferred result
logical relation
vslogical implication
  • Specialized
6.3

A connection between multiple statements that shows if one follows another, is the same, or is the opposite

is the specific necessary relation where truth of one forces the other

How Strong

equivalence
18 6.2
logical implication
  • Specialized
1 7.7
implication
308 4.3
hint
153 1.5

Surface Forms

Morphology

logical + implication

The phrase 'logical implication' is directly compositional: 'logical' (pertaining to correct reasoning or logic) modifies 'implication' (a relation of one proposition entailing another), so the combined meaning — an entailment relation grounded in logic — is readily derivable from its parts. This construction is conceptually straightforward and cross-linguistically common, so a B1 learner who understands both constituents will generally grasp the MWE.

Etymology

Logical implication is like a row of dominoes: when the first domino falls, the next one must fall, giving the picture of if p, then q. So, logical implication means that if one statement is true, the other must also be true.