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Axiom definitions

Webster's 1828 Dictionary

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."

WordNet (r) 3.0 (2005)

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

Merriam Webster's

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 self-evident truth

Oxford Reference Dictionary

n. 1 an established or widely accepted principle. 2 esp. Geom. a self-evident truth. Etymology: F axiome or L axioma f. Gk axioma axiomat- f. axios worthy

Webster's 1913 Dictionary

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. 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.

Collin's Cobuild Dictionary

(axioms) An axiom is a statement or idea which people accept as being true. (FORMAL) ...the long-held axiom that education leads to higher income. = principle N-COUNT: oft N that

Soule's Dictionary of English Synonyms

n. 1. Truism, self-evident proposition, intuitive truth, necessary truth. 2. Postulate, settled principle (not of necessity true), proposition commonly received, assumed truth.

Moby Thesaurus

a belief, a priori principle, a priori truth, absolute fact, accepted fact, actual fact, adage, admitted fact, affirmation, ana, analects, aphorism, apothegm, apriorism, article of faith, assertion, assumed position, assumption, bald fact, bare fact, basis, brocard, brutal fact, byword, canon, catchword, categorical proposition, center, circumstance, cold fact, collected sayings, conceded fact, conjecture, core, current saying, data, datum, demonstrable fact, dictate, dictum, distich, doctrine, dogma, elixir, empirical fact, epigram, essence, essential, established fact, expression, fact, fact of experience, first principles, flower, focus, formula, foundation, fundamental, gist, given fact, gnome, golden rule, golden saying, gravamen, ground, guesswork, hard fact, heart, hypostasis, hypothesis, hypothesis ad hoc, indisputable fact, inescapable fact, inference, inner essence, kernel, law, lemma, major premise, marrow, matter of fact, maxim, meat, minor premise, moral, mot, motto, naked fact, not guesswork, not opinion, nub, nucleus, nuts and bolts, oracle, philosopheme, philosophical proposition, phrase, pith, pithy saying, plain, position, positive fact, postulate, postulation, postulatum, precept, premise, prescript, presumption, presupposal, presupposition, principium, principle, proposition, propositional function, provable fact, proverb, proverbial saying, proverbs, quid, quiddity, quintessence, rule, salient fact, sap, saw, saying, self-evident fact, self-evident truth, sentence, sententious expression, set of postulates, settled principle, significant fact, simple fact, sloka, sober fact, soul, spirit, statement, stock saying, stubborn fact, stuff, substance, sumption, supposal, supposing, supposition, surmise, sutra, teaching, tenet, text, the case, the nitty-gritty, theorem, thesis, truism, truth, truth table, truth-function, truth-value, undeniable fact, universal truth, verse, well-known fact, wisdom, wisdom literature, wise saying, witticism, word, words of wisdom, working hypothesis


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