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- From: matmcinn@nuscc.nus.sg (brett mcinnes)
- Subject: Re: Frankly,my dear......was: Fermat's Last Theorem
- Message-ID: <1993Jan9.031339.6646@nuscc.nus.sg>
- Organization: National University of Singapore
- X-Newsreader: Tin 1.1 PL4
- References: <1993Jan8.042211.29463@infodev.cam.ac.uk>
- Distribution: usa
- Date: Sat, 9 Jan 1993 03:13:39 GMT
- Lines: 30
-
- gjm11@cus.cam.ac.uk (G.J. McCaughan) writes:
- : >I disagree. :) My point is that if the proof were easy, nobody would have
- : ^^^^^
- : On what grounds do you say this? Just saying that you don't happen to find it
- : exciting isn't enough, of course.
- Yes, it is. Or rather,to be more precise: there is an admittedly tenuous
- consensus that some results are profound, others not. I suggest that the
- continuing popularity of FLT is a historical accident.:
- :
- : You haven't answered either of my main points: namely, that FLT is interesting
- : on its own account, and that it is connected quite intimately with other areas
- : of mathematics, and has given rise to work which is clearly important.
- :
- Astrology and alchemy also gave rise to important things. Actually, you
- almost seem to be agreeing with me: FLT is of historical interest only. :
- :
- : 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.
-