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.
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