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Feb 4, 2013 at 18:19 comment added Joel David Hamkins Thanks, Emil, I have inserted "finite", and this is indeed how we define it in the paper. This logic seems to be related to the modal logic of class forcing, and also curiously of c.c.c. forcing, but we can't yet settle either case exactly.
Feb 4, 2013 at 18:16 history edited Joel David Hamkins CC BY-SA 3.0
added 159 characters in body
Feb 4, 2013 at 15:52 comment added Emil Jeřábek +1 for the unexpected appearance of Medvedev’s logic. (A minor quibble: since ML is not known to [and seems not to] coincide with the logic of arbitrary topless Boolean algebras, this applies to S4.tBA as well. That is, you shouldn’t drop “finite” from the definition.)
Feb 3, 2013 at 21:21 history edited Joel David Hamkins CC BY-SA 3.0
improved formating; added 2 characters in body
Feb 3, 2013 at 21:10 history answered Joel David Hamkins CC BY-SA 3.0