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Axiom definitions
AX'IOM, n. [Gr. authority, an authoritative sentence, or that which is assumed, from worthy, and to think worthy, to esteem; Eng. to ask, that which is asked, sought or esteemed.] 1. A self evident truth, or a proposition whose truth is so evident at first sight, that no process of reasoning or demonstration can make it plainer; as, "the whole is greater than a part." 2. An established principle in some art or science; a principle received without new proof; as, "things which are equal to the same thing, are equal to one another."
n 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 selfevident
noun Etymology: Latin axioma, from Greek axi?ma, literally, something worthy, from axioun to think worthy, from axios worth, worthy; akin to Greek agein to weigh, drive — more at agent Date: 15th century 1. a maxim widely accepted on its intrinsic merit 2. a statement accepted as true as the basis for argument or inference ; postulate 1 3. an established rule or principle or a selfevident truth
n. 1 an established or widely accepted principle. 2 esp. Geom. a selfevident truth. Etymology: F axiome or L axioma f. Gk axioma axiomat f. axios worthy
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 selfevident 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 selfevident 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 longestablished authority and of universal application.
(axioms) An axiom is a statement or idea which people accept as being true. (FORMAL) ...the longheld axiom that education leads to higher income. = principle NCOUNT: oft N that
n. 1. Truism, selfevident proposition, intuitive truth, necessary truth. 2. Postulate, settled principle (not of necessity true), proposition commonly received, assumed truth.
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