English

Pronunciation
a|US IPA|/�æks.i.�m/
audio|en-us-axiom.ogg|Audio (US)

Etymology
From MF. axiome, from Gr. axioma.

Noun
en-noun

1. philosophy A self-evident and necessary truth; a proposition which it is necessary to take for granted; a proposition whose truth is so evident that no reasoning or demonstration can make it plainer. For example, "The whole is greater than a part."
2. mathematics A theorem that cannot be proved and is therefore fundamental, necessary, and assumed. Axioms form the basis of a mathematical system.
3. An established principle in some art or science that is universally received.

:: The axioms of political economy cannot be considered absolute truths.

Usage notes
The nonstandard plural form axiomata is very rare usage in English.

Translations
trans-top|self-evident and necessary truth
Croatian: t-|hr|aksiom|m
French: t+|fr|axiome|m
Greek: αξί�μα [a.�k͡si.o�.ma] (means "authority" too) n
Italian: t-|it|assioma|m
trans-mid
Novial: axiome
Polish: t+|pl|aksjomat|m
Portuguese: t+|pt|axioma|m
Slovene: t+|sl|aksiom|m
Swedish: t+|sv|axiom|n
trans-bottom

trans-top|theorem that cannot be proved
Croatian: t-|hr|aksiom|m
Greek: αξί�μα [a.�k͡si.o�.ma] n
Hungarian: t-|hu|axióma
trans-mid
Finnish: t-|fi|aksiooma
Portuguese: t+|pt|axioma|m
Slovene: t+|sl|aksiom|m
Swedish: t+|sv|axiom|n
trans-bottom

trans-top|established principle in art or science
Croatian: t-|hr|aksiom|m
trans-mid
Portuguese: t+|pt|axioma|m
Swedish: t+|sv|axiom|n
trans-bottom

Derived terms
axiomatic
axiom of choice
parallel axiom

Related terms
law
lemma
principle
proposition
theorem

See also
projectlinks
|wikipedia
conjecture
corollary
demonstration
hypothesis
porism
postulate
premise
proposition
proof
theory
truism

Swedish

Noun
sv-noun-n-zero
axiom n

1. #English|axiom

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• 2007-12-24 15:59 - Tbot - added t for fr, pl

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