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"why mathematics don't have to do with experience" is too strong. Nothing you just said implies that math isn't intimately connected to empirical predictions in
by hyperpape 11y ago
"why mathematics don't have to do with experience" is too strong. Nothing you just said implies that math isn't intimately connected to empirical predictions in some way. What it shows is that contrary to Jules' earlier statements, there's no statement by statement correspondence--for any given mathematical statement, you can't find an interesting empirical prediction you associate with it.
- abrezas 11y agoI don't believe they are entirely independent, but there's nothing you can look outside your window that will change any mathematical theorem.
- jules 11y agoI agree with this statement (depending on how you interpret "change": if the world was different we may have been lead to prove different theorems), and nothing I've said previously contradicts it.
- jules 11y agoI never claimed that, in fact I said precisely the opposite: > Of course this isn't always the most interesting test
- hyperpape 11y agoSubstitute non-trivial for interesting. For instance, a calculation of pi to 50 digits will map to the same test as a calculation of pi to 51 digits. But the claims have different content so they should map to different tests!