From: John Baez <baez@math.ucr.edu>
To: categories <categories@mta.ca>
Subject: Unexampled richness
Date: Sat, 21 Nov 2015 16:56:56 -0800 [thread overview]
Message-ID: <E1a0ze3-0001D8-D1@mlist.mta.ca> (raw)
Dear Categorists -
pjf wrote:
Jim Holt wrote in his "Diary" on Slate, 2000--11--27
>
> Category theory is a ridiculously abstract framework that takes all
> the meaning out of mathematics.
>
> In his review of Michael Harris's "Mathematics Without Apologies:
> Portrait of a Problematic Vocation" (Princeton University Press, 2015)
> Holt writes (The New York Review of Books, 2015--12--03):
>
> ...Grothendieck made [category theory] sing. Between 1958 and 1970,
> he used category theory to create novel structures of unexampled
> richness.
>
Given the first quote, I wonder if Holt is making a subtle dig at
Grothendieck here, hinting that he doesn't consider enough examples!
I suppose you all know this joke:
One striking characteristic of Grothendieck’s mode of thinking is that it
> seemed to rely so little on examples. This can be seen in the legend of the
> so-called “Grothendieck prime”. In a mathematical conversation, someone
> suggested to Grothendieck that they should consider a particular prime
> number. “You mean an actual number?” Grothendieck asked. The other person
> replied, yes, an actual prime number. Grothendieck suggested, “All right,
> take 57.”
>
http://www.ams.org/notices/200410/fea-grothendieck-part2.pdf
Best,
jb
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