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Nov 3, 2020 at 15:59 history became hot network question
Nov 3, 2020 at 10:24 vote accept Jordan Barrett
Nov 3, 2020 at 9:19 answer added Andrej Bauer timeline score: 22
Nov 3, 2020 at 8:02 comment added Noah Schweber I think it will take some work to whip up an appropriate phrasing of the axiom of regularity; "$\in$ is well-founded" isn't really categorical. One which I can think of - due to Hamkins as far as I know - is "If every well-founded set can be well-ordered, then every set can be well-ordered." But that's is extremely clunky to work with. (Incidentally, there are various questions here and at MSE about regularity in categorical foundations which may be of interest.
Nov 3, 2020 at 7:51 history asked Jordan Barrett CC BY-SA 4.0