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What is the difference between an axiom and a theorem?
An axiom is a statement believed to be true
true
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whereas a theorem is believed to be
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Answer 1

An axiom is an accepted truth in mathematics, while a theorem is a statement that has been proven true through logical reasoning and existing axioms or theorems.

Step-by-step explanation:

An axiom is a statement that is accepted as true without proof. It serves as a starting point for mathematical reasoning and is fundamental to building mathematical systems. Axioms are self-evident truths that form the basis of mathematical theories and deductions.

A theorem, on the other hand, is a statement that can be proven true using logical reasoning and previously established axioms or theorems. Theorems are derived from axioms and provide new mathematical insights and relationships. They are the results of rigorous proofs based on logical deduction.

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