axiomatic truth

USAGE SUMMARY

"axiomatic truth" is a correct and usable phrase in written English.
You can use it when discussing a statement or principle that is widely accepted as true without needing proof or demonstration. Example: "In mathematics, the commutative property of addition is considered an axiomatic truth, as it does not require proof and is accepted as universally true."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

5 human-written examples

Further, the Illinois Court wrote, "That God designed the sexes to occupy different spheres of action, and that it belonged to men to make, apply, and execute the laws, was regarded as an almost axiomatic truth".

Encyclopedia Britannica

In many axiomatic truth theories, truth is taken as a predicate applying to the Gödel numbers of sentences.

SEP

An axiomatic truth that has yet to be comprehended.

Huffington Post

However, we do not claim that it is an exhaustive list, or that all of what is listed is an axiomatic truth.

European Journal of Neuroscience

The axiomatic truth that "dose determines a poison" and its corollary that "there is a safe level of everything" must both be considered in responsible risk communication.

Environmental Health Perspectives

Human-verified similar examples from authoritative sources

Similar Expressions

55 human-written examples

First, whether or not Wolff succeeds in his task of proving PSR does not significantly detract from his basic conviction that all axiomatic principles of the human mind are derivable from POC. Strictly speaking, Wolff believes that POC is the only indemonstrable self-evident truth and that all true propositions can in theory be demonstrated to be true by means of a deductively sound argument.

SEP

It is this approach that gives rise to an axiomatics, where the axioms were to be numbered among those things identified as the self-evident truths.

SEP

In most axiomatic theories, truth is conceived as a predicate of objects.

SEP

Several philosophers, including Donald Davidson and many deflationists, have endorsed axiomatic theories of truth in their accounts of truth.

SEP

An axiomatic theory of truth is a deductive theory of truth as a primitive undefined predicate.

SEP

For more, see the entries on axiomatic theories of truth, the Liar paradox, and Tarski's truth definitions.

SEP

Expert writing Tips

Best practice

Use "axiomatic truth" when you want to emphasize that a statement is so fundamentally true that it requires no further proof or justification. It's best suited for formal writing and discussions of foundational principles.

Common error

Avoid using "axiomatic truth" in casual conversation or informal writing. Simpler phrases like "obvious truth" or "basic fact" are often more appropriate and sound less pretentious.

Linguistic Context

The phrase "axiomatic truth" functions as a noun phrase, where "axiomatic" modifies the noun "truth". It identifies a truth that is considered self-evident and requires no further demonstration or proof. Ludwig AI identifies it as correct and usable.

Expression frequency: Rare

Frequent in

Science

40%

News & Media

40%

Encyclopedias

20%

Less common in

Formal & Business

0%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "axiomatic truth" is a grammatically correct phrase used to describe a truth accepted without proof, most often encountered in formal and scientific contexts. Ludwig AI confirms its usability, though its relative infrequency suggests it's best reserved for situations where emphasizing the fundamental nature of a truth is essential. While not as versatile as simpler alternatives like "basic fact", it serves a valuable purpose in precise and formal discourse.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

self-evident truth

Replaces "axiomatic" with "self-evident", emphasizing the immediately obvious nature of the truth.

indisputable truth

Focuses on the impossibility of disputing the truth.

fundamental truth

Highlights the foundational nature of the truth.

unquestionable truth

Emphasizes the lack of doubt surrounding the truth.

universally accepted truth

Highlights the broad acceptance of the truth.

basic principle

Shifts from a truth to a guiding principle, implying a foundation for reasoning.

established fact

Emphasizes the well-documented and verified nature of the truth.

incontrovertible fact

Highlights the impossibility of overturning the fact.

logical necessity

Indicates a truth that must be true based on logical principles.

mathematical axiom

Specifies a truth accepted without proof within a mathematical system.

FAQs

How can I use "axiomatic truth" in a sentence?

You can use "axiomatic truth" to describe principles or statements that are accepted as fundamentally true without needing proof. For example: "In geometry, the shortest distance between two points is an "axiomatic truth"."

What's a simpler way to say "axiomatic truth"?

Alternatives to "axiomatic truth" include "self-evident truth", "basic fact", or "obvious truth". The best choice depends on the context and desired level of formality.

Is "axiomatic truth" a commonly used phrase?

While grammatically correct, "axiomatic truth" is not as common as other similar phrases like "self-evident truth". It's more frequently encountered in academic or philosophical writing.

What is the difference between an "axiomatic truth" and a "theory"?

An "axiomatic truth" is a statement accepted as true without proof, forming the foundation of a system. A "theory", on the other hand, is an explanation of phenomena supported by evidence and testing, but is still subject to revision.