Question

write difference between axiom and theorem​

Answer 1

Answer:

An axiom is a statement that is considered to be true, based on logic; however, it cannot be proven or demonstrated because it is simply considered as self-evident. ... A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

Answer 2

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A mathematical statement that we know is true and which has a proof is a theorem.

So if a statement is always true and doesn't need proof, it is an axiom.

If it needs a proof, it is a conjecture.

A statement that has been proven by logical arguments based on axioms, is a theorem.

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