In mathematics or logic, an axiom is an unprovable rule or first principle accepted as true because it is self-evident or particularly useful. “Nothing can both be and not be at the same time and in the same …

AXIOM definition: a self-evident truth that requires no proof. See examples of axiom used in a sentence.

/ ˈæk·si·əm / Add to word list a statement or principle that is generally accepted to be true (Definition of axiom from the Cambridge Academic Content Dictionary © Cambridge University Press)

The precise definition varies across fields of study. In classic philosophy, an axiom is a statement that is so evident or well-established, that it is accepted without controversy or question. [3] In modern logic, …

Dec 26, 2025 · axiom, in logic, an indemonstrable first principle, rule, or maxim, that has found general acceptance or is thought worthy of common acceptance whether by virtue of a claim to intrinsic merit …

Definition of axiom noun in Oxford Advanced Learner's Dictionary. Meaning, pronunciation, picture, example sentences, grammar, usage notes, synonyms and more.

An axiom is a statement that everyone believes is true, such as "the only constant is change." Mathematicians use the word axiom to refer to an established proof.

The comprehensive definition of axiom. Includes pronunciation, synonyms, etymology, and usage examples to help you master this word.

Illustrated definition of Axiom: A statement that is accepted as true (without needing proof) so that further reasoning can be done. Example: one...

an established principle or law of a science, art, etc. 3. logic and mathematics a statement or proposition that needs no proof because its truth is obvious, or one that is accepted as true without proof Euclid's …