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View synonyms for axiom

# axiom

[ **ak**-see-*uh*m ]

## 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.

axiom

/ ˈæksɪəm /

## noun

- a generally accepted proposition or principle, sanctioned by experience; maxim
- a universally established principle or law that is not a necessary truth
*the 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 system Compare assumption

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

axiom

- 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.Discover More

## Word History and Origins

Origin of axiom^{1}

First recorded in 1475–85; from

*Latin**axiōma,*from*Greek:*“something worthy,” equivalent to*axiō-,*variant stem of*axioûn*“to reckon worthy” +*-ma,*noun suffixDiscover More

## Word History and Origins

Origin of axiom^{1}

C15: from Latin

*axiōma*a principle, from Greek, from*axioun*to consider worthy, from*axios*worthyAdvertisement

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