User blog comment:Wythagoras/My Turing machines/@comment-6768393-20131012123348/@comment-5529393-20131013124105

I would certainly agree with Konkhra that no super-advanced civilization could ever figure out BB(30). I would say that we won't get past BB(6), but there seems to me one possibility:  We may one day create beings with intelligence at least that of humans, but with the computational ability of a supercomputer. So this being can compute vast calculations in nanoseconds, but can think about them intelligently. You can imagine what this would mean for our math knowledge! I could see then being able to analyze all 7-state and 8-state halting machines. But I agree that BB(30) would still be out of reach.