Re:BusyBeaver(6) Is Quite Large
by bo1024 on Sunday June 29, 2025 @02:14PM
(#44415114)
The point is that when it "never stops", there are models of ZFC in which the "infinity" number of steps it runs for isn't considered infinity by the model, it's a made-up "nonstandard" number that is smaller than infinity but larger than any integer. And that model considers that to be "halting", so that model says the TM halts.
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That’s just a change of definition. That isn’t really saying that Bb(748) is different under a different model, just that there’s a BB’ equivalent for that model and BB’(748) is equal to something else.