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- Xref: sparky sci.math:17884 alt.flame:17803
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- From: gjm11@cus.cam.ac.uk (G.J. McCaughan)
- Subject: Re: Frankly,my dear......was: Fermat's Last Theorem
- Message-ID: <1993Jan9.144916.29965@infodev.cam.ac.uk>
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- Organization: U of Cambridge, England
- References: <1993Jan8.042211.29463@infodev.cam.ac.uk> <1993Jan9.031339.6646@nuscc.nus.sg>
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- Date: Sat, 9 Jan 1993 14:49:16 GMT
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-
- In article <1993Jan9.031339.6646@nuscc.nus.sg> matmcinn@nuscc.nus.sg (brett mcinnes) writes:
-
- >Astrology and alchemy also gave rise to important things. Actually, you
- >almost seem to be agreeing with me: FLT is of historical interest only.
-
- No; I'm just not sure what you regard as making a problem interesting,
- and I thought perhaps you were concerned with its relations to other
- areas of mathematics.
-
- >: Perhaps I'll understand better if you tell me what you think of some other
- >: famous conjectures. What do you think of:
- >: * the twin prime conjecture?
- >: * the Goldbach conjecture?
- >I try to think of them as little as possible.
- > : * the four-colour problem?
- > Amusing and entertaining, but not the stuff of Fields Medals.
- > : * the Poincare conjecture?
- > Now you're talking. This is really significant, and would be so even if
- >it had no applications.
- >: * the Riemann hypothesis? : : --
- >Utterly boring in itself, like FLT; but unlike FLT, it is important
- >because you need it to prove things that are interesting. Just imagine the
- >sensation if it turns out to be wrong.
-
- You think the four-colour conjecture is more "amusing and entertaining"
- than FLT? I'm astonished. Basically, it sounds to me like you're just
- prejudiced against number theory (not, despite your comments, just the
- recreational sort); very well, you don't find number-theoretical results
- interesting, but plenty of mathematicians do, and it doesn't seem very
- reasonable of you to try to decree that they're all wrong. Just different
- tastes to yours.
-
- But perhaps I'm wrong about you being prejudiced. What *do* you think
- makes a mathematical problem worth considering?
-
- --
- Gareth McCaughan Dept. of Pure Mathematics & Mathematical Statistics,
- gjm11@cus.cam.ac.uk Cambridge University, England. [Research student]
-