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Jul 10, 2017 at 0:55 comment added Alec Rhea Ah, I simply picked from the top of the list in Kanamori's book -- pretend I said an $I0-I3$ cardinal!
Jul 10, 2017 at 0:54 comment added Andreas Blass $0=1$ cardinals, i.e., inconsistent ones, are easy to understand: In the presence of such a cardinal, absolutely everything is true. The problem is understanding consistent things.
Jul 10, 2017 at 0:51 comment added Alec Rhea Wow, this is quite enlightening -- I'm still an undergrad, so I have relatively little experience with large cardinal theory or category theory, but this has successfully outlined exactly how 'large' of a logical domain category theory works in. I tremble to think about what it is like to truly 'understand' a $0=1$ cardinal!
Jul 10, 2017 at 0:07 vote accept Alec Rhea
Jul 9, 2017 at 23:39 history answered Andreas Blass CC BY-SA 3.0