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Amg asked this question about Gödel, Escher, Bach: An Eternal Golden Braid:
Can someone please explain the difference between an axiom and a theorem according to Hofstadter? I need to hear it explained in another way.
William Keely Typically the only way to prove an axiom, is to prove that it can not be proven. Therefore, they are "assumed" facts. Theorems are built off of axioms…moreTypically the only way to prove an axiom, is to prove that it can not be proven. Therefore, they are "assumed" facts. Theorems are built off of axioms and their properties. (less)
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Gödel, Escher, Bach
by Douglas R. Hofstadter
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