n.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.
Noun1.axiom - a saying that widely accepted on its own merits
Synonyms: maxim
2.axiom - (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
1.(language)AXIOM - A commercially available subset of Scratchpad, from IBM.

["Axiom - The Scientific Computing System", R. Jenks et al, Springer 1992].
2.(logic)axiom - A well-formed formula which is taken to be true without proof in the construction of a theory.

Compare: lemma.
a belief, a priori principle, a priori truth, absolute fact, accepted fact, actual fact, admitted fact, affirmation, ana, analects, aphorism, apriorism, article of faith, assertion, assumed position, assumption, bald fact, bare fact, basis, brocard, brutal fact, 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, 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, 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, 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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axile placentation
axillary artery
axillary cavity
axillary fossa
axillary node
axillary vein
-- Axiom --
Axiom of Choice
Axiom of Comprehension
Axiomatic Architecture Description Language
axiomatic semantics
axiomatic set theory
axis band
Axis cylinder
Axis in peritrochio
Axis of a balance
Axis of a curve
Axis of a lens
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