
The term
postulate, or
axiom, indicates a statement or assumption that is agreed by everyone to be so obvious or self-evident that no proof is necessary, and which can be used to prove other statements or theorems. Neither axioms nor postulates can be proven (within a system) using more basic statements. However, in many elementary textbooks, where the student does not have the training to understand a more rigorous approach, many otherwise-provable statements are accepted as postulates to allow further development of the subject.
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