Question

What is the difference between a theorem and an axiom?

Answer 1

Difference between a theorem and an axiom.

• A theorem is a mathematical statement whose truth has been logically established and has been proved.
• An axiom is a mathematical statement which is assumed to be true even without proof.

Thus, a theorem is a mathematical statement whose truth has been logically established and has been proved and an axiom is a mathematical statement which is assumed to be true even without proof.