axiom

[Ax·i*om]

An axiom is a statement that everyone believes is true, such as "supply equals demand" or "the only constant is change." Mathematicians use axiom to refer to established proofs.

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A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."

Noun
(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident

Noun
a saying that widely accepted on its own merits

a.
A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."

a.
An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy.

Axiom

Ax"i*om , n. [L. axioma, Gr. that which is thought worthy, that which is assumed, a basis of demonstration, a principle, fr. to think worthy, fr. worthy, weighing as much as; cf. to lead, drive, also to weigh so much: cf F. axiome. See Agent, a.] 1. (Logic & Math.) A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be." 2. An established principle in some art or science, which, though not a necessary truth, is universally received; as, the axioms of political economy. Syn. -- Axiom, Maxim, Aphorism, Adage. An axiom is a self-evident truth which is taken for granted as the basis of reasoning. A maxim is a guiding principle sanctioned by experience, and relating especially to the practical concerns of life. An aphorism is a short sentence pithily expressing some valuable and general truth or sentiment. An adage is a saying of long-established authority and of universal application.

A self-evident and necessary truth, or a proposition whose truth is so evident as first sight that no reasoning or demonstration can make it plainer; a proposition which it is necessary to take for granted; as, "The whole is greater than a part;" "A thing can not, at the same time, be and not be."

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Usage Examples

There are neither good nor bad subjects. From the point of view of pure Art, you could almost establish it as an axiom that the subject is irrelevant, style itself being an absolute manner of seeing things.

Misspelled Form

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Other Usage Examples

It has long been an axiom of mine that the little things are infinitely the most important.

It may be assumed as an axiom that Providence has never gifted any political party with all of political wisdom or blinded it with all of political folly.