A really fast thesaurus... with lots of synonyms.

(n) :
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."; an unproved theorem that serves as a basis for deduction of other theorems

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for axiom:

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- ascertain
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(n) :
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."; an unproved theorem that serves as a basis for deduction of other theorems