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Jun 26, 2018 at 16:58 comment added Mike Shulman FWIW, I think Hovey is wrong that there is a foundational problem, as that gives the impression that e.g. some construction might not be possible in ZFC. In fact the only problem is that the resulting category might not be locally small. Granted, many people define a "category" so that it must be locally small, but in this case the problem is still not "foundational" but rather an intrinsic fact about one's choice of definitions: even in a stronger foundational system the same problem would occur.
Jun 26, 2018 at 16:29 vote accept Igor Sikora
Jun 26, 2018 at 16:26 answer added John Dougherty timeline score: 7
Jun 26, 2018 at 16:08 history edited Igor Sikora CC BY-SA 4.0
Corrected spelling
Jun 26, 2018 at 15:46 history asked Igor Sikora CC BY-SA 4.0