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- Xref: sparky sci.logic:1941 sci.philosophy.meta:2362 sci.math:14470
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- Path: sparky!uunet!snorkelwacker.mit.edu!galois!riesz!jbaez
- From: jbaez@riesz.mit.edu (John C. Baez)
- Subject: Will a mathematician locked up in a little room be happy?
- Message-ID: <1992Nov6.024607.6831@galois.mit.edu>
- Sender: news@galois.mit.edu
- Nntp-Posting-Host: riesz
- Organization: MIT Department of Mathematics, Cambridge, MA
- References: <Bx8yvo.6ty@unx.sas.com> <1992Nov5.171453.22237@CSD-NewsHost.Stanford.EDU> <Bx998I.KpK@unx.sas.com>
- Date: Fri, 6 Nov 92 02:46:07 GMT
- Lines: 27
-
- Gary Merrill writes:
-
- >You can take a mathematician and lock him in his little office with just
- >some writing materials and he will (a) be pretty happy, and (b) be able
- >and willing to do anything of a mathematical nature. Even a committed
- >*theoretical* physicist will be very distressed under such circumstances
- >since he has not way to determining whether his theories (however abstract)
- >are *good* ones.
-
- I hope you have not tried this experiment, because I don't think I, at
- least, would stay happy for long in this little office. Seriously, I
- think your picture refers to an idealized "pure" mathematician who is
- content to prove theorems without any interest in whether they are
- useful for science. I can cite my heroes - Newton, Leibniz, Lagrange,
- Laplace, Euler, Gauss, the Bernoulli crew, Fourier, Hilbert, von Neumann, Weyl,
- etc. - as examples of mathematicians who DID care deeply about the
- applicability of math. Any thought experiments with mathematicians
- should be run on some of this crowd. And any theory of what mathematics
- is that doesn't note where ideas like the Fourier transform came from is
- wanting.
-
- You can say that these folks were sometimes acting qua theoretical
- physicist, if you want to squirm out of this issue. I don't think that
- one can separate things out like that - e.g., Gauss did not say "today I
- will do some mathematics and prove Gauss' law; tomorrow I will be a
- theoretical physicist and apply this law to electricity."
-
-