15 results for: Axiom

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Dictionary.com Unabridged (v 1.1) - Cite This Source - Share This
ax·i·om    Audio Help   [ak-see-uhm] 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.
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Axiom

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American Heritage Dictionary - Cite This Source - Share This
ax·i·om    Audio Help   (āk'sē-əm)  Pronunciation Key 
n.  
  1. A self-evident or universally recognized truth; a maxim: "It is an economic axiom as old as the hills that goods and services can be paid for only with goods and services" (Albert Jay Nock).
  2. An established rule, principle, or law.
  3. A self-evident principle or one that is accepted as true without proof as the basis for argument; a postulate.


[Middle English, from Old French axiome, from Latin axiōma, axiōmat-, from Greek, from axios, worthy; see ag- in Indo-European roots.]

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The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2006 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Online Etymology Dictionary - Cite This Source - Share This
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
WordNet - Cite This Source - Share This
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.
Kernerman English Multilingual Dictionary (Beta Version) - Cite This Source - Share This
axiom [ˈӕksiəm] noun
a fact or statement which is definitely true and accepted as a principle or rule
Arabic: بَديهِيّه، حَقيقَة مُقَرَّرَه
Chinese (Simplified): (数)公理
Chinese (Traditional): (數)公理
Czech: axiom
Danish: grundsætning; aksiom
Dutch: axioma
Estonian: aksioom
Finnish: aksiooma
French: axiome
German: das Axiom
Greek: αξίωμα
Hungarian: alapigazság
Icelandic: lögmál, grundvallarregla
Indonesian: dalil
Italian: assioma
Japanese: 公理
Korean: 자명한 이치, 원칙
Latvian: aksioma, acīmredzama patiesība
Lithuanian: aksioma
Norwegian: selvinnlysende påstand, aksiom
Polish: aksjomat
Portuguese (Brazil): axioma
Portuguese (Portugal): axioma
Romanian: axiomă
Russian: аксиома
Slovak: axióma
Slovenian: aksiom
Spanish: axioma
Swedish: axiom
Turkish: aksiyom, belit
Kernerman English Multilingual Dictionary (Beta Version), © 2000-2006 K Dictionaries Ltd.
The American Heritage Science Dictionary - Cite This Source - Share This
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.
American Heritage New Dictionary of Cultural Literacy, Third Edition - Cite This Source - Share This
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.
Free On-line Dictionary of Computing - Cite This Source - Share This

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
Free On-line Dictionary of Computing - Cite This Source - Share This

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
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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.
Webster's Revised Unabridged Dictionary - Cite This Source - Share This

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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