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Originally Posted by infamous
… Things are changing so rapidly that they may fear their new law wil soon be superseded by another. This is the reason I asked these questions at the begining of this thread. …
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You ask a very interesting, thought-provoking question. Physics does seem to be changing at such a pace that both amateurs and professional physicists are hard-pressed keep current, and the possibility of publishing work with that will be read years hence seems increasingly remote.
I bet many theorists secretly wish they’d been born a century earlier, in the time of Planck, Einstein, Bohr, and Heisenberg, back when physicist could live to see themselves and their work on t-shirts and the lips of every other scientist. IMHO, Gerard 't Hooft is right up there with those guys, and has a physics nobel to prove it, but does he have his own t-shirt? Will people in 2030 say of a smart person “they’re another ‘t Hooft”, or will it still be “another Einstein”?
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…So what is proof (if it can't stand the test of time).
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(parenthesis mine) Ahh, this is the kind of question that Math students of my generation live for! Proof is simply (well, it’s not all that simple) manipulating an integer representing an unproven theorem according to the rules of its formal system to produce an integer representing a proven theorem or postulate.
Or that’s one definition of a theorem – Godel’s. Not the kind that all that many real scientists or mathematicians use, no matter what they claim. It’s a good one, though.
Even a genuine, formal proof, though, is only as good as its formal system and their postulates.
150 years ago, the idea that finding a formal system that was a good – well perfect, actually - fit for the physical universe would be too difficult seemed pretty far-fetched. Now we know it is. Godel’s incompleteness theorem doesn’t help (well, actually it does – that was just a figure of speech)
Proof’s the (relatively) easy part. It’s the theory – the rules and postulates of the formal system - that’s hard.
Just my opinion, of course.