Comments on: More than a Century Old
https://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/
A general distrust of strong metaphysical claims in mathematics and philosophy.Fri, 24 Aug 2007 20:18:40 +0000
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By: Phil
https://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2201
Fri, 24 Aug 2007 20:18:40 +0000http://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2201If she is willing to sacrifice some breadth, I guess any advanced, motivated undergraduate can at least “learn about” pretty much any subject. Of course, it is arguable whether knowing a specific subject and ignoring it’s connections and applications to other fields has any use. For what it’s worth, one of my friends (a junior undergrad) spent the summer studying Floer homology. He gave talks about it at a PhD seminar, and everyone was impressed. On the other hand, his knowledge of analysis outside of what is strictly required for what he does is quite limited for an “advanced undergraduate”.
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By: Kenny
https://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2174
Wed, 22 Aug 2007 07:34:49 +0000http://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2174Timothy Chow just made that same point on the FOM e-mail list (and also brought up Riemann-Roch). He also made a further comment that I think brings up a lot of the real issues motivating this discussion. He brings up some good examples of how some areas of math just aren’t considered of much interest any more, as well as some other points of how the history of math doesn’t just lead nicely to the present situation as we might like.
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By: Noah Snyder
https://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2168
Wed, 22 Aug 2007 00:26:31 +0000http://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2168I am highly skeptical that the prime number theorem is accesible when Dirichlet’s theorem on primes in arithmetic progressions is not. The level of difficulty is essentially the same, and every undergrad class that I’ve had or taught that covered one also covered the other.
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By: Ars Mathematica » Blog Archive » Short Proof of Prime Number Theorem
https://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2152
Mon, 20 Aug 2007 04:49:25 +0000http://antimeta.wordpress.com/2007/08/19/more-than-a-century-old/#comment-2152[…] Via Antimeta. […]
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