/yes we *can* . . . read badiou! //i kid! i kid!
On Tue, Jul 28, 2009 at 9:31 PM, // ravi <ravi at platosbeard.org> wrote:
> On Jul 28, 2009, at 9:49 PM, Chuck Grimes wrote:
>
>> There were twin developments in German mathematics that vastly
>> condensed and systemized mathematical education proper. One theme of
>> those developments followed the Geometry line. The other followed the
>> Number line. In the former we have starting with Riemann, followed
>> Felix Klein and his use and development of group theory and the
>> re-axiomization of geometry which superceeded the controversy over the
>> parallel postulate. The other or number line starts again with
>> Riemann, then follows, Cantor, et al and sets. This line sort of has
>> multiple branches that creat the `morass' of analysis. (There is also
>> Riemann himself to look at, study, think about and how he generated
>> such numerous and giant spawn: Cantor, Klein, Hilbert, Einstein in the
>> next generation. Mostly his contributions go to what I think of as the
>> join of number and space into analysis and physics, while the
>> number-space line goes the re-organization of algebra, via the same
>> core concepts used in sets and groups.
>>
>
>
>
> Er, don't forget Poincaré, Weyl and the intuitionists.
>
> A marginally related but amusing paper:
>
> http://research.microsoft.com/en-us/um/people/gurevich/Opera/123.pdf
>
> --ravi
>
>
> --
> Anyone who takes an effort to intellectually challenge the status quo and
> established habits is infinitely more venerable than hacks defending that
> status quo and established habits, regardless of the truth function of their
> propositions. -- W.Sokolowski
>
>
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