axiom

[ ak-see-uhm ]

/ ˈæk si əm /

SEE SYNONYMS FOR axiom ON THESAURUS.COM

noun

a self-evident truth that requires no proof.

a universally accepted principle or rule.

Logic, Mathematics. a proposition that is assumed without proof for the sake of studying the consequences that follow from it.

Origin of axiom

1475–85; <Latin axiōma<Greek: something worthy, equivalent to axiō-, variant stem of axioûn to reckon worthy + -ma resultative noun suffix

WORDS THAT MAY BE CONFUSED WITH axiom

1. adage, aphorism, apothegm, axiom , maxim, proverb2. assumption, axiom , premise, presumption

Words nearby axiom

axillary vein, axinite, axio-, axiological ethics, axiology, axiom, axiomatic, axiom of choice, axiom of countability, axion, axioplasm

Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020

Example sentences from the Web for axiom

With an ATP, a programmer can code in all the rules, or axioms, and then ask if a particular conjecture follows those rules.
How Close Are Computers to Automating Mathematical Reasoning?|Stephen Ornes|August 27, 2020|Quanta Magazine
We’ve learned that if a set of axioms is consistent, then it is incomplete.
How Gödel’s Proof Works|Natalie Wolchover|July 14, 2020|Quanta Magazine
Gödel’s main maneuver was to map statements about a system of axioms onto statements within the system — that is, onto statements about numbers.
How Gödel’s Proof Works|Natalie Wolchover|July 14, 2020|Quanta Magazine
By the first theorem, this set of axioms would then necessarily be incomplete.
How Gödel’s Proof Works|Natalie Wolchover|July 14, 2020|Quanta Magazine

He also showed that no candidate set of axioms can ever prove its own consistency.
How Gödel’s Proof Works|Natalie Wolchover|July 14, 2020|Quanta Magazine
Whether or not Hippocrates ever actually said “First, do no harm,” the axiom is central to medical ethics.
Why So Many Surgeons Are Psychos|Russell Saunders|December 17, 2014|DAILY BEAST
Jakes says he believes in the axiom that the act of forgiveness is not really a gift to others as much as it is a gift to oneself.
Bishop T.D. Jakes on His New Book and Whitney Houston’s Death|Allison Samuels|March 10, 2012|DAILY BEAST
All special Churches have varied, and have therefore erred; but it is my first axiom that that book has never erred.
Is Life Worth Living?|William Hurrell Mallock
Endurance, to excite commiseration, must be uncomplaining—an axiom the aggrieved of the gentle sex should remember.
Rookwood|William Harrison Ainsworth
Anyone who tries to prove an axiom, loses himself in absurdity; therefore, we should not attempt to prove the existence of God.
Zones of the Spirit|August Strindberg
In this we apply the axiom of Deductive Reasoning: "Whatever is true of the whole is true of the parts."
The Art of Logical Thinking|William Walker Atkinson
But no axiom can be plainer than that if two lines continually approach each other they must at length meet.
Fables of Infidelity and Facts of Faith|Robert Patterson

British Dictionary definitions for axiom

axiom

/ (ˈæksɪəm) /

noun

a generally accepted proposition or principle, sanctioned by experience; maxim

a universally established principle or law that is not a necessary truththe axioms of politics

a self-evident statement

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 systemCompare assumption (def. 4)

Word Origin for axiom

C15: from Latin axiōma a principle, from Greek, from axioun to consider worthy, from axios worthy

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

Cultural definitions for axiom

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.

notes for axiom

The term axiomatic is used generally to refer to a statement so obvious that it needs no proof.

Scientific definitions for axiom

axiom

[ ăk′sē-əm ]

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

单词	axiom
释义	axiom [ ak-see-uhm ] / ˈæk si əm / SEE SYNONYMS FOR axiom ON THESAURUS.COM noun a self-evident truth that requires no proof. a universally accepted principle or rule. Logic, Mathematics. a proposition that is assumed without proof for the sake of studying the consequences that follow from it. Origin of axiom 1475–85; <Latin axiōma<Greek: something worthy, equivalent to axiō-, variant stem of axioûn to reckon worthy + -ma resultative noun suffix WORDS THAT MAY BE CONFUSED WITH axiom 1. adage, aphorism, apothegm, axiom , maxim, proverb2. assumption, axiom , premise, presumption Words nearby axiom axillary vein, axinite, axio-, axiological ethics, axiology, axiom, axiomatic, axiom of choice, axiom of countability, axion, axioplasm Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 Example sentences from the Web for axiom With an ATP, a programmer can code in all the rules, or axioms, and then ask if a particular conjecture follows those rules. How Close Are Computers to Automating Mathematical Reasoning?\|Stephen Ornes\|August 27, 2020\|Quanta Magazine We’ve learned that if a set of axioms is consistent, then it is incomplete. How Gödel’s Proof Works\|Natalie Wolchover\|July 14, 2020\|Quanta Magazine Gödel’s main maneuver was to map statements about a system of axioms onto statements within the system — that is, onto statements about numbers. How Gödel’s Proof Works\|Natalie Wolchover\|July 14, 2020\|Quanta Magazine By the first theorem, this set of axioms would then necessarily be incomplete. How Gödel’s Proof Works\|Natalie Wolchover\|July 14, 2020\|Quanta Magazine He also showed that no candidate set of axioms can ever prove its own consistency. How Gödel’s Proof Works\|Natalie Wolchover\|July 14, 2020\|Quanta Magazine Whether or not Hippocrates ever actually said “First, do no harm,” the axiom is central to medical ethics. Why So Many Surgeons Are Psychos\|Russell Saunders\|December 17, 2014\|DAILY BEAST Jakes says he believes in the axiom that the act of forgiveness is not really a gift to others as much as it is a gift to oneself. Bishop T.D. Jakes on His New Book and Whitney Houston’s Death\|Allison Samuels\|March 10, 2012\|DAILY BEAST All special Churches have varied, and have therefore erred; but it is my first axiom that that book has never erred. Is Life Worth Living?\|William Hurrell Mallock Endurance, to excite commiseration, must be uncomplaining—an axiom the aggrieved of the gentle sex should remember. Rookwood\|William Harrison Ainsworth Anyone who tries to prove an axiom, loses himself in absurdity; therefore, we should not attempt to prove the existence of God. Zones of the Spirit\|August Strindberg In this we apply the axiom of Deductive Reasoning: "Whatever is true of the whole is true of the parts." The Art of Logical Thinking\|William Walker Atkinson But no axiom can be plainer than that if two lines continually approach each other they must at length meet. Fables of Infidelity and Facts of Faith\|Robert Patterson British Dictionary definitions for axiom axiom / (ˈæksɪəm) / noun a generally accepted proposition or principle, sanctioned by experience; maxim a universally established principle or law that is not a necessary truththe axioms of politics a self-evident statement 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 systemCompare assumption (def. 4) Word Origin for axiom C15: from Latin axiōma a principle, from Greek, from axioun to consider worthy, from axios worthy Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012 Words related to axiom aphorism, dictum, maxim, precept, adage, theorem, proverb, saying, fundamental, truism, apothegm, proposition, moral, truth, device, postulate, law Cultural definitions for axiom 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. notes for axiom The term axiomatic is used generally to refer to a statement so obvious that it needs no proof. The New Dictionary of Cultural Literacy, Third Edition Copyright © 2005 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved. Scientific definitions for axiom axiom [ ăk′sē-əm ] 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 © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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axiom

noun

Origin of axiom

WORDS THAT MAY BE CONFUSED WITH axiom

Words nearby axiom

Example sentences from the Web for axiom

British Dictionary definitions for axiom

noun

Word Origin for axiom

Words related to axiom

Cultural definitions for axiom

notes for axiom

Scientific definitions for axiom