Which axioms are interesting? And why? That is nature.
Yes, proof from axioms is a cornerstone of math, but there are all sorts of axioms you could assume, and all sorts of proofs to do from them, but we don't care about most of them.
Math is about the discovery of the right axioms, and proof helps in establishing that these are indeed the right axioms.
Which axioms are interesting? And why? That is nature.
Yes, proof from axioms is a cornerstone of math, but there are all sorts of axioms you could assume, and all sorts of proofs to do from them, but we don't care about most of them.
Math is about the discovery of the right axioms, and proof helps in establishing that these are indeed the right axioms.