logical implication

USAGE SUMMARY

"logical implication" is correct and usable in written English. You can use it in contexts related to logic, mathematics, or philosophy when discussing relationships between propositions. For example, "If A is true, then B is true; this is a case of logical implication." Alternative expressions include "logical consequence" and "conditional relationship."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

45 human-written examples

Another interpretation would be a logical implication to state that B is already logically implicit in A. This interpretation means that it is a logical consequence that a common causal structure implies a common property to obtain (ceteris paribus).

Energy, Sustainability and Society

Nevertheless, Frege's conception of logic has the result that there is only a one-way connection between logical implication as this holds between thoughts and formal derivability as this holds between sentences.

SEP

Is the logical implication that laws against murder are useless, too?

The New Yorker

Logical implication: we may just not be cut out for such a demanding field.

The New York Times

The logical implication, then, is not that the invasion was the mistake, knowing what we know now.

The Economist

The only logical implication of that was the slur that a black candidate somehow could not win.

The Economist

Human-verified similar examples from authoritative sources

Similar Expressions

12 human-written examples

And logicians working on tense and modal logic use 2D semantics to characterize the logical implications of operators like 'now', 'actually', and 'necessarily'necessarily

SEP

Some philosophers might object that logic is part of the framework within which beliefs have logical implications and can't be part of the same system of belief itself.

SEP

His writing is known for its extreme subtlety, its meticulous attention to detail, and its tenacious pursuit of the logical implications of supposedly "marginal" features of texts.

Encyclopedia Britannica

In liberal democracies, which rely on open and free debate to function, the logical implications of any public-policy argument are a power to be reckoned with.

The Economist

It is close enough to miss the logical implications of some of its immediate political lines, like that one about Labor's modest plan to limit the huge tax loopholes available to the very rich through superannuation tax concessions.

The Guardian

Expert writing Tips

Best practice

When using "logical implication", ensure the relationship between the premise and conclusion is clearly defined and valid. This phrase is most effective in formal writing where precision is crucial.

Common error

Avoid assuming that correlation implies "logical implication". Just because two events frequently occur together doesn't mean one logically necessitates the other; there could be other factors at play.

Linguistic Context

The phrase "logical implication" functions as a noun phrase that refers to a relationship where the truth of one statement guarantees the truth of another. Ludwig examples showcase its use in academic and formal contexts.

Expression frequency: Common

Frequent in

Science

41%

News & Media

35%

Encyclopedias

12%

Less common in

Formal & Business

6%

Reference

6%

Social Media

0%

Ludwig's WRAP-UP

In summary, "logical implication" is a noun phrase denoting a relationship where the truth of one statement necessitates the truth of another. Ludwig AI confirms its grammatical correctness and widespread usage across science, news, and encyclopedia sources. When writing, ensure you're indicating a true relationship of necessity, not just correlation. Alternatives like "logical consequence" or "deductive inference" may suit different contexts. Remember, understanding and applying "logical implication" effectively enhances the precision and validity of your arguments.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

logical consequence

Changes the wording to emphasize the result or outcome of a logical relationship.

logical inference

Focuses on the inferential process based on logic.

deductive inference

Focuses on the inferential process based on deduction.

necessary consequence

Highlights the inevitability of the result.

inevitable conclusion

Highlights the unavoidable nature of the result.

entailment

A more formal term indicating that one statement is necessarily true if another is true.

inferential relationship

Generalizes the connection between premises and conclusions.

implied conclusion

Emphasizes that the conclusion is suggested but not explicitly stated.

reasoning behind

Shifts the focus to the rationale leading to a conclusion.

underlying assumption

Highlights the foundational principle that leads to a certain result.

FAQs

How can I use "logical implication" in a sentence?

Use "logical implication" to describe a relationship where one statement's truth guarantees another's. For example, "The "logical implication" of his argument is that all similar cases should be treated the same way."

What is an alternative to "logical implication"?

Consider using "logical consequence", "deductive inference", or "entailment" depending on the specific context and desired level of formality.

Is there a difference between "logical implication" and "inference"?

"Logical implication" specifically refers to a relationship where one statement necessarily follows from another, while "inference" is a broader term for any conclusion reached based on evidence or reasoning. Thus, an inference may or may not be a "logical implication".

What's the role of "logical implication" in mathematical proofs?

In mathematical proofs, "logical implication" is essential for demonstrating that if certain axioms or premises are true, then specific theorems must also be true. Each step in a proof relies on "logical implication" to build a valid argument.