logical truth: meaning, definition, pronunciation and examples

Low
UK/ˈlɒdʒ.ɪ.kəl truːθ/US/ˈlɑː.dʒɪ.kəl truːθ/

Formal, Technical, Academic

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Quick answer

What does “logical truth” mean?

A proposition or statement that is necessarily true based solely on its logical form and the meanings of its terms, independent of any factual content about the world.

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Pronunciation

Definition

Meaning and Definition

A proposition or statement that is necessarily true based solely on its logical form and the meanings of its terms, independent of any factual content about the world.

Any claim or principle considered irrefutable within a specific system of reasoning or context; something that follows inevitably from established rules or premises. In common, non-technical use, it can refer to an argument or conclusion that is unassailably sound.

Dialectal Variation

British vs American Usage

Differences

No significant lexical or grammatical differences. The concept and terminology are identical in academic and technical contexts.

Connotations

Identical strong connotations of formality, abstraction, and technical precision.

Frequency

Equally rare and technical in both varieties.

Grammar

How to Use “logical truth” in a Sentence

[Subject] is a logical truth.It is a logical truth that [clause].The argument reveals a fundamental logical truth.He proved the logical truth of the statement.

Vocabulary

Collocations

strong
a logical truththe logical truthestablish/prove a logical truthconcept of logical truthnecessary logical truth
medium
seek the logical truthunderlying logical truthfundamental logical truth
weak
simple logical truthbasic logical truthpure logical truth

Examples

Examples of “logical truth” in a Sentence

verb

British English

  • (No standard verb form. One might 'logically truth-test' a proposition.)

American English

  • (No standard verb form. One might 'truth-functionally evaluate' a statement.)

adverb

British English

  • (No standard adverb form.)

American English

  • (No standard adverb form.)

adjective

British English

  • The statement has logical-truth status.
  • It was a logical-truth claim.

American English

  • The proposition is logical-truth-apt.
  • He presented a logical-truth analysis.

Usage

Meaning in Context

Business

Virtually never used. If used, it would be metaphorical: 'The logical truth is that cutting costs while increasing quality is impossible.'

Academic

Primary context. Used in philosophy, mathematics, computer science, and formal logic to describe statements true in all possible interpretations (e.g., 'If P, then P' is a logical truth).

Everyday

Extremely rare. Might be used for emphasis in sophisticated debate: 'You're ignoring a simple logical truth.'

Technical

Core context in logic and analytic philosophy, with a precise, formal definition.

Vocabulary

Synonyms of “logical truth”

Strong

logical necessity

Neutral

tautology (in logic)necessary truthanalytic truth

Weak

self-evident truthundeniable conclusion

Vocabulary

Antonyms of “logical truth”

logical falsehoodcontradictioncontingent statementempirical falsehood

Watch out

Common Mistakes When Using “logical truth”

  • Using it as a fancy synonym for 'common sense' or 'obvious fact'.
  • Confusing it with 'scientific truth', which is empirical.
  • Writing 'logical true' instead of 'logical truth'.
  • Using it in informal contexts where it sounds pretentious.

FAQ

Frequently Asked Questions

No. A fact is true based on evidence from the world (e.g., 'Water boils at 100°C at sea level'). A logical truth is true based on its form and meaning alone, regardless of the world (e.g., 'All widows were once married').

Yes. 'Either it is raining, or it is not raining.' This is true not because we check the weather, but because its logical structure (P or not-P) makes it impossible to be false.

No, it is a specialist term. In everyday conversation, people are more likely to say something is 'logically true', 'a tautology', or simply 'obvious from the argument'.

A logical falsehood or contradiction—a statement that is false due to its logical form alone, like 'P and not-P' (e.g., 'It is raining and it is not raining at the same time and in the same sense').

Logical truth: in British English it is pronounced /ˈlɒdʒ.ɪ.kəl truːθ/, and in American English it is pronounced /ˈlɑː.dʒɪ.kəl truːθ/. Tap the audio buttons above to hear it.

Phrases

Idioms & Phrases

  • (none directly associated with the phrase)

Learning

Memory Aids

Mnemonic

Imagine a LOG that is always TRUE no matter how you look at it (LOGical TRUTH). Its truth is built into its very shape (logic), not the forest (facts) around it.

Conceptual Metaphor

TRUTH IS A STRUCTURAL PROPERTY (like the strength of a geometric shape). LOGICAL TRUTH IS A MACHINE THAT ALWAYS WORKS (regardless of input).

Practice

Quiz

Fill in the gap
In propositional logic, the statement 'P or not P' is a classic example of a .
Multiple Choice

In which field is the term 'logical truth' used with the MOST precise and technical meaning?

logical truth: meaning, definition, pronunciation and examples | Lingvocore