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Something suggested or assumed as proof for reasoning, discussion or belief.
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
Postulates are statements that are assumed to be true without proof. Theorums are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.
It is a type of indirect proof: more specifically, a proof by contradiction.
Postulates are assumed truths that are used as the bases for reasoning, beliefs and discussions. These statements do not often require proof.