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Jul 29, 2018 at 14:45 vote accept Morteza Azad
Jul 29, 2018 at 3:21 comment added Morteza Azad (+1) Interesting, Noah! Thanks for pointing out to this fact! Indeed, it is surprising that OCA has no consistency strength! By the way, due to its Ramsey-like formulation my initial guess was that it might be as strong as some Ramsey type large cardinals in the hierarchy at least! (e.g. Ramsey cardinals or weakly compacts)
Jul 28, 2018 at 20:32 history answered Noah Schweber CC BY-SA 4.0