View synonyms for axiom

# axiom

[ ak-see-uhm ]

## 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.

axiom

/ ˈæksɪəm /

## noun

1. 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. a self-evident statement
4. 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 assumption
“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

axiom

/ ăksē-əm /

1. 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.
2. Also called postulate

axiom

1. In mathematics , a statement that is unproved but accepted as a basis for other statements, usually because it seems so obvious.

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## Notes

The term axiomatic is used generally to refer to a statement so obvious that it needs no proof.
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## Word History and Origins

Origin of axiom1

First recorded in 1475–85; from Latin axiōma, from Greek: “something worthy,” equivalent to axiō-, variant stem of axioûn “to reckon worthy” + -ma, noun suffix
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## Word History and Origins

Origin of axiom1

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