If they are known not to be true then they are no longer postulates but discarded theories.
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True. Axioms and postulates do not require proof to be used.
Such statements are called postulates in geometry and axioms in other areas. Definitions are also accepted without proof, but technically they are abbreviations rather than statements.
Theorem
Postulates are assumed to be true and we need not prove them. They provide the starting point for the proof of a theorem. A theorem is a proposition that can be deduced from postulates. We make a series of logical arguments using these postulates to prove a theorem. For example, visualize two angles, two parallel lines and a single slanted line through the parallel lines. Angle one, on the top, above the first parallel line is an obtuse angle. Angle two below the second parallel line is acute. These two angles are called Exterior angles. They are proved and is therefore a theorem.
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