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Apr 3, 2016 at 15:23 comment added Mikhail Katz Will, thanks for an interesting post. Ultrafinitists tend to be more explicit about this. I think statements of the sort I am looking for can be found in the work of both David Isles and Yessenin-Volpin. Of course I would prefer a source in a "standard" logic textbook but if you could provide an explicit source in one of the ultrafinitists that would also be interesting.
Apr 2, 2016 at 15:07 history answered Will Sawin CC BY-SA 3.0