axiom

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Related to Axioms: Euclid's axioms

axiom

self-evident truth; universally accepted principle or rule: “As sure as day follows night” is an axiom.
Not to be confused with:
adage – traditional saying; proverb: An old adage states that you reap what you sow.
Abused, Confused, & Misused Words by Mary Embree Copyright © 2007, 2013 by Mary Embree

ax·i·om

 (ăk′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.]
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

axiom

(ˈæksɪəm)
n
1. (Mathematics) a generally accepted proposition or principle, sanctioned by experience; maxim
2. a universally established principle or law that is not a necessary truth: the axioms of politics.
3. (Logic) a self-evident statement
4. (Logic) logic maths a statement or formula that is stipulated to be true for the purpose of a chain of reasoning: the foundation of a formal deductive system. Compare assumption4
5. (Mathematics) logic maths a statement or formula that is stipulated to be true for the purpose of a chain of reasoning: the foundation of a formal deductive system. Compare assumption4
[C15: from Latin axiōma a principle, from Greek, from axioun to consider worthy, from axios worthy]
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

ax•i•om

(ˈæk si əm)

n.
1. a self-evident truth that requires no proof.
2. a universally accepted principle or rule.
3. a proposition in logic or mathematics that is assumed without proof for the sake of studying the consequences that follow from it.
[1475–85; < Latin axiōma < Greek: something worthy <axiō-, variant s. of axioûn to think worthy]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ax·i·om

(ăk′sē-əm)
A principle that is accepted as true without proof; a postulate.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.axiom - a saying that is widely accepted on its own merits
locution, saying, expression - a word or phrase that particular people use in particular situations; "pardon the expression"
aphorism, apophthegm, apothegm - a short pithy instructive saying
gnome - a short pithy saying expressing a general truth
moralism - a moral maxim
2.axiom - (logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident
Euclidean axiom, Euclid's axiom, Euclid's postulate - (mathematics) any of five axioms that are generally recognized as the basis for Euclidean geometry
logic - the branch of philosophy that analyzes inference
proposition - (logic) a statement that affirms or denies something and is either true or false
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.

axiom

noun principle, fundamental, maxim, gnome, adage, postulate, dictum, precept, aphorism, truism, apophthegm the long-held axiom that education leads to higher income
Collins Thesaurus of the English Language – Complete and Unabridged 2nd Edition. 2002 © HarperCollins Publishers 1995, 2002

axiom

noun
A broad and basic rule or truth:
The American Heritage® Roget's Thesaurus. Copyright © 2013, 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Translations
بَديهِيّه، حَقيقَة مُقَرَّرَه
аксиома
axiom
aksiomgrundsætning
aksiomiperuslauseperusväiteperusväittämä
aksiom
alapigazságaxióma
lögmál, grundvallarregla
axioma
aksioma
aksioma, acīmredzama patiesība
axióma
aksiom
axiom
aksiyombelit

axiom

[ˈæksɪəm] Naxioma m
Collins Spanish Dictionary - Complete and Unabridged 8th Edition 2005 © William Collins Sons & Co. Ltd. 1971, 1988 © HarperCollins Publishers 1992, 1993, 1996, 1997, 2000, 2003, 2005

axiom

[ˈæksiəm] naxiome m
Collins English/French Electronic Resource. © HarperCollins Publishers 2005

axiom

nAxiom nt
Collins German Dictionary – Complete and Unabridged 7th Edition 2005. © William Collins Sons & Co. Ltd. 1980 © HarperCollins Publishers 1991, 1997, 1999, 2004, 2005, 2007

axiom

[ˈæksɪəm] nassioma m
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

axiom

(ˈӕksiəm) noun
a fact or statement which is definitely true and accepted as a principle or rule.
Kernerman English Multilingual Dictionary © 2006-2013 K Dictionaries Ltd.
References in classic literature ?
It was gravely said by some of the prelates in the Council of Trent, where the doctrine of the Schoolmen bare great sway, that the Schoolmen were like astronomers, which did feign eccentrics and epicycles, and such engines of orbs, to save the phenomena; though they knew there were no such things; and in like manner, that the Schoolmen had framed a number of subtle and intricate axioms, and theorems, to save the practice of the church.
There are two rules of construction, dictated by plain reason, as well as founded on legal axioms. The one is, that every part of the expression ought, if possible, to be allowed some meaning, and be made to conspire to some common end.
Archer, who was fond of coining her social philosophy into axioms, had once said: "We all have our pet common people--" and though the phrase was a daring one, its truth was secretly admitted in many an exclusive bosom.
His wife visited for him, and this was the received thing in the world, where the weighty and multifarious occupations of the magistrate were accepted as an excuse for what was really only calculated pride, a manifestation of professed superiority -- in fact, the application of the axiom, "Pretend to think well of yourself, and the world will think well of you," an axiom a hundred times more useful in society nowadays than that of the Greeks, "Know thyself," a knowledge for which, in our days, we have substituted the less difficult and more advantageous science of knowing others.
And if there are some who think that a prince who conveys an impression of his wisdom is not so through his own ability, but through the good advisers that he has around him, beyond doubt they are deceived, because this is an axiom which never fails: that a prince who is not wise himself will never take good advice, unless by chance he has yielded his affairs entirely to one person who happens to be a very prudent man.
All this very plausible reasoning does not convince me, as it has not convinced the wisest of our Statesmen, that our ancestors erred in laying it down as an axiom of policy that the toleration of Irregularity is incompatible with the safety of the State.
It is a military axiom not to advance uphill against the enemy, nor to oppose him when he comes downhill.
And quite enchanted with his joke, the ferocious Orangeman took his cresset and his keys to conduct Cornelius to the cell, which on that very morning Cornelius de Witt had left to go into exile, or what in revolutionary times is meant instead by those sublime philosophers who lay it down as an axiom of high policy, "It is the dead only who do not return."
It obeyed no known laws of physics, and overthrew the hoary axiom that like things performed to like things produce like results.
Louis XIV., to whom his mother had taught this axiom, together with many others, understood at once that the cardinal must be very ill.
Although Oliver had been brought up by philosophers, he was not theoretically acquainted with the beautiful axiom that self-preservation is the first law of nature.
So far is the general sense of mankind from corresponding with the tenets of those who endeavor to lull asleep our apprehensions of discord and hostility between the States, in the event of disunion, that it has from long observation of the progress of society become a sort of axiom in politics, that vicinity or nearness of situation, constitutes nations natural enemies.