What is difference in axiom and postulate?

Answer 1

Theorem: A Proven Statement.

Postulate: An Accepted Statement without Proof.

They mean similar things. A postulate is an unproven statement that is considered to be true; however a theorem is simply a statement that may be true or false, but only considered to be true if it has been proven.

Answer 2

Axioms are statements that cannot be proven: they are usually basic, self-evident and form the starting points of a logical structure. Postulates are statements (or propositions) that appear to be reasonable but have yet to be proven. Theorems are statements that have been proven.

Answer 3

An axiom is a statement which is self-apparently true. It cannot be proved.

A postulate is a statement which someone believes to be true. Normally it should be possible to prove or disprove it but that has not yet been done.

Answer 4

They both are statements that cannot or have not been proven yet, but cannot be proven wrong. They are used as facts would be used to prove other things.

Answer 5

A postulate is a proposition that has yet to be proved. A theorem has been proved.

Answer 6

A postulate is a statement that is assumed or believed to be true but it may turn out not to be. A theorem has been proven to be true, based on axioms.