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What's the difference between axioms and postulates?
Fascinating stuff! One more question, does the use of axioms and postulates eliminate the need for proof in a mathematical argument?
No, even though axioms and postulates are assumed to be true, they are still subject to logical scrutiny and proof. Any mathematical argument must still follow a logical and rigorous structure, and prove its conclusions based on the initial assumptions, whether they are axioms, postulates or other statements.