So how do scientists gain knowledge, if not by using the scientific method?pic.twitter.com/KaSVdLklhh
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I think a proof actually does refer to...a shape, sort of, Out There, even if different people will write it up differently and disagree on what counts as "trivial" vs what needs more unpacking. There is a pattern in which write-ups will get graded as "proofs" vs. "not proofs".
Yes…. setting aside the unanswerable metaphysical questions, math is uniquely hard-edged in the sense that once a matter is settled, it virtually always stays settled. Whereas this is rare in the general case of convincing a group.
I think this is only because mathematics does not say anything about nature or rely on experiments, so mathematicians can use a much higher bar of convincement. Apart from that, anything that meets this bar is a proof.
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