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Nov 28 at 5:34 comment added David Roberts Amusingly, there is this more recent paper: Jonathan Kirby, Up with Categories, Down with Sets; Out with Categories, In with Sets! doi.org/10.1093/philmat/nkae010 the title of which might not be unrelated to that Lawvere post
May 23, 2020 at 17:07 history edited Glorfindel CC BY-SA 4.0
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Dec 14, 2012 at 1:35 history made wiki Post Made Community Wiki by S. Carnahan
Apr 18, 2012 at 17:00 comment added Andrej Bauer For me Stephen Simpson was the star of those discussions. But I certainly wouldn't recommend reading old FOM archives. Most of it is very boring, and the interesting parts are detrimental to mental health.
Apr 18, 2012 at 9:57 comment added Tom Leinster I second Ed's recommendation. This is one of my favourite papers. The FOM archive discussions on categorical set theory contain some real poison, though: it's amazing the depths to which they sometimes sank. (I'm not pointing at Friedman or Pratt here.)
Apr 18, 2012 at 8:32 comment added Ed Dean Colin McLarty's "Exploring Categorical Structuralism" (cwru.edu/artsci/phil/PMExploring.pdf) is another follow-up in the Awodey/Hellman series. Also, one can find in the FOM archives many instances through the years of Harvey Friedman and Vaughan Pratt debating the merits of category-theoretic foundations.
Apr 18, 2012 at 7:50 history edited Andrej Bauer CC BY-SA 3.0
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Apr 18, 2012 at 7:41 history edited Andrej Bauer CC BY-SA 3.0
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Apr 18, 2012 at 7:35 history answered Andrej Bauer CC BY-SA 3.0