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axiom

2 definitions found

From The Collaborative International Dictionary of English v.0.48 [gcide]:

Axiom \Ax"i*om\, noun [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}, adjective]

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}.

Usage: 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. Axiomatic

From WordNet (r) 3.0 (2006) [wn]:

axiom

noun

1: a saying that is widely accepted on its own merits [syn: {maxim}, {axiom}]

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


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