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axioms - 3 dictionary results

ax⋅i⋅om

  [ak-see-uhm]
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–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
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Based on the Random House Dictionary, © Random House, Inc. 2009.
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ax·i·om   (āk'sē-əm)   
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.]
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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axiom   (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. Published by Houghton Mifflin. All rights reserved.
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