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Question

What is the difference between a theorem and an axiom?


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Solution

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.


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