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ax·i·om
Audio Help [ak-see-uh
m] Pronunciation Key
Audio Help [ak-see-uh
m] Pronunciation Key –noun
| 1. | a self-evident truth that requires no proof. |
| 2. | a universally accepted principle or rule. |
| 3. | Logic, Mathematics. a proposition that is assumed without proof for the sake of studying the consequences that follow from it. |
[Origin: 1475–85; < L axiōma < Gk: something worthy, equiv. to axiō-, var. s. of axioûn to reckon worthy + -ma resultative n. suffix
]
] | Dictionary.com Unabridged (v 1.1) Based on the Random House Unabridged Dictionary, © Random House, Inc. 2006. |
Axiom
To learn more about Axiom visit Britannica.com
| © 2008 Encyclopædia Britannica, Inc. |
| ax·i·om
Audio Help (āk'sē-əm) Pronunciation Key
n.
[Middle English, from Old French axiome, from Latin axiōma, axiōmat-, from Greek, from axios, worthy; see ag- in Indo-European roots.] |
| The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2006 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
axiom
1485, from M.Fr. axiome, from L. axioma, from Gk. axioma "authority," lit. "that which is thought worthy or fit," from axioun "to think worthy," from axios "worthy, worth, of like value, weighing as much," from PIE adj. *ag-ty-o- "weighty," from base *ag- "to drive, draw, move" (cf. Gk. agein "weigh, pull").
| Online Etymology Dictionary, © 2001 Douglas Harper |
| axiom | |
noun | |
| 1. | a saying that is widely accepted on its own merits [syn: maxim] |
| 2. | (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident |
| WordNet® 3.0, © 2006 by Princeton University. |
axiom [ˈӕksiəm] noun
a fact or statement which is definitely true and accepted as a principle or rule
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| Kernerman English Multilingual Dictionary (Beta Version), © 2000-2006 K Dictionaries Ltd. |
| axiom
Audio Help (āk'sē-əm) Pronunciation Key
A principle that is accepted as true without proof. The statement "For every two points P and Q there is a unique line that contains both P and Q" is an axiom because no other information is given about points or lines, and therefore it cannot be proven. Also called postulate. |
| The American Heritage® Science Dictionary Copyright © 2002 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
axiom [(ak-see-uhm)]
In mathematics, a statement that is unproved but accepted as a basis for other statements, usually because it seems so obvious.
Note: The term axiomatic is used generally to refer to a statement so obvious that it needs no proof.
[Chapter:] Physical Sciences and Mathematics
| The American Heritage® New Dictionary of Cultural Literacy, Third Edition Copyright © 2005 by Houghton Mifflin Company. Published by Houghton Mifflin Company. All rights reserved. |
AXIOM language
A commercially available subset of Scratchpad, from IBM.
["Axiom - The Scientific Computing System", R. Jenks et al, Springer 1992].
(1995-02-21)
| The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe |
axiom logic
A well-formed formula which is taken to be true without proof in the construction of a theory.
Compare: lemma.
(1995-03-31)
| The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe |
Axiom
Ad"age\, n. [F. adage, fr. L. adagium; ad + the root of L. aio I say.] An old saying, which has obtained credit by long use; a proverb. Letting "I dare not" wait upon "I would," Like the poor cat i' the adage. --Shak. Syn: Axiom; maxim; aphorism; proverb; saying; saw; apothegm. See Axiom.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Axiom
Aph"o*rism\, n. [F. aphorisme, fr. Gr. ? definition, a short, pithy sentence, fr. ? to mark off by boundaries, to define; ? from + ? to separate, part. See Horizon.] A comprehensive maxim or principle expressed in a few words; a sharply defined sentence relating to abstract truth rather than to practical matters. The first aphorism of Hippocrates is, "Life is short, and the art is long." --Fleming. Syn: Axiom; maxim; adage; proverb; apothegm; saying; saw; truism; dictum. See Axiom.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
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.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
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.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
Axiom
Max"im\, n. [F. maxime, L. maxima (sc. sententia), the greatest sentence, proposition, or axiom, i. e., of the greatest weight or authority, fem. fr. maximus greatest, superl. of magnus great. See Magnitude, and cf. Maximum.]1. An established principle or proposition; a condensed proposition of important practical truth; an axiom of practical wisdom; an adage; a proverb; an aphorism. 'T is their maxim, Love is love's reward. --Dryden. 2. (Mus.) The longest note formerly used, equal to two longs, or four breves; a large. Syn: Axiom; aphorism; apothegm; adage; proverb; saying. See Axiom.| Webster's Revised Unabridged Dictionary, © 1996, 1998 MICRA, Inc. |
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