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Jul 3, 2017 at 19:56 comment added Joel David Hamkins Thanks for accepting! But if a better answer comes along, with an actual reference doing category theory in KM, then please feel free to switch.
Jul 3, 2017 at 17:18 comment added Joel David Hamkins Oh, it is stronger than ZFC, but not by much, since it doesn't reach even to an inaccessible cardinal. See my blog post jdh.hamkins.org/km-implies-conzfc showing that KM implies Con(ZFC) and much more.
Jul 3, 2017 at 17:11 comment added Alec Rhea Thank you for the clarification -- I had assumed that MK being a proper extension of ZFC would make it reasonably much stronger.
Jul 3, 2017 at 17:08 vote accept Alec Rhea
Jul 10, 2017 at 0:07
Jul 3, 2017 at 15:05 history answered Joel David Hamkins CC BY-SA 3.0