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Re:How many real numbers exist? New proof moves closer to an... by thaumasiotes on Friday July 16, 2021 @01:58PM (#27859136)
> but we still cannot ever know them because they are incomputable (??)

That doesn't mean you can't know them. We know BB(2). It means there is no single algorithm which is capable of yielding them all. But there could, theoretically, be an algorithm for BB(10), a different algorithm for BB(11), etc.

In fact, those individualized algorithms don't exist either.

Re:How many real numbers exist? New proof moves closer to an... by bryan0 on Friday July 16, 2021 @08:43PM (#27862731)
Yes I was referring to calculating BB(n) for arbitrary n. But certainly these numbers exist even if they’re independent of ZFC (?)