Reference.com

198 results for: Axiom

Axiom
More Control Over More Services Added Quality Savings
www.americanexpress.com
Sponsored Links
Tax Credit Services
Work With The Leader In Tax Credits Get Help From The Nation's Experts
www.AlliantGroup.com
Dictionary Entries (10 more entries. View all »)
Dictionary.com Unabridged (v 1.1)Cite This Source
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.

Special Report Released
Top Medical School doctors report. Non-surgical spinal decompression.
AxiomWorldwide.com/SpecialReport/
Sponsored Links
Axiom
Great Properties, top developers, free consultancy & home financing.
www.AxiomEstates.com
Thesaurus Entries
  Synonym Collection v1.1Cite This Source
Main Entry:  axiom
Part of Speech:  adjective
Synonyms:  aphoristic, hypothetical, primitive, self-evident, witty, axiomatic, postulational
Source:  Synonym Collection v1.1
Copyright © 2008 by Lexico Publishing Group, LLC.
  Synonym Collection v1.1Cite This Source
Main Entry:  axiom
Part of Speech:  noun
Synonyms:  adage, aphorism, byword, canon, convention, dictum, law, maxim, motto, postulate, precept, principle, proposition, proverb, rule, saw, saying, sentence, standard, theorem, truism, truth, witticism
Source:  Synonym Collection v1.1
Copyright © 2008 by Lexico Publishing Group, LLC.
  Roget's II: The New ThesaurusCite This Source
Main Entry:  law
Part of Speech:  noun
Definition:  A broad and basic rule or truth.
Synonyms:  fundamental, principle, theorem, universal
Source:  Roget's II: The New Thesaurus, Third Edition
by the Editors of the American Heritage® Dictionary.
Copyright © 2003, 1995 by Houghton Mifflin Harcourt Publishing Company.
Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

Axiom Global
New model firm focused on the high-end legal market.
www.axiomlaw.com
Sponsored Link
Encyclopedia Articles (183 more entries. View all »)
Columbia Electronic EncyclopediaCite This Source


axiom, in mathematics and logic, general statement accepted without proof as the basis for logically deducing other statements (theorems). Examples of axioms used widely in mathematics are those related to equality (e.g., "Two things equal to the same thing are equal to each other"; "If equals are added to equals, the sums are equal") and those related to operations (e.g., the associative law and the commutative law). A postulate, like an axiom, is a statement that is accepted without proof; however, it deals with specific subject matter (e.g., properties of geometrical figures) and thus is not so general as an axiom. It is sometimes said that an axiom or postulate is a "self-evident" statement, but the truth of the statement need not be evident and may in some cases even seem to contradict common sense. Moreover, a statement may be an axiom or postulate in one deductive system and may instead be derived from other statements in another system. A set of axioms on which a system is based is often wished to be independent; i.e., no one of its members can be deduced from any combination of the others. (Historically, the development of non-Euclidean geometry grew out of attempts to prove or disprove the independence of the parallel postulate of Euclid.) The axioms should also be consistent; i.e., it should not be possible to deduce contradictory statements from them. Completeness is another property sometimes mentioned in connection with a set of axioms; if the set is complete, then any true statement within the system described by the axioms may be deduced from them. 
The Columbia Electronic Encyclopedia Copyright © 2004, Columbia University Press.
Licensed from Columbia University Press




View results from: Dictionary | Thesaurus | Encyclopedia | All Reference | the Web








Perform a new search, or try your search for "Axiom" at: