On Thu, Jul 11, 2024 at 2:43 PM Jason Resch <[email protected]> wrote:
*> Turing completeness is not required for consciousness. The human brain > (given it's limited and faulty memory) wouldn't even meet the definition of > being Turing complete.* > Sometimes on some problems the human brain could be considered as being Turing Complete, otherwise we would never be able to do anything that was intelligent. And on rare occasions the human brain has been known to do smart things. But sometimes we screw up and do dumb things. You could say pretty much the same thing about a computer, an idealized Turing Machine could calculate the two-argument Ackermann function for any input numbers and so Akermann is computable, but the input numbers get larger so fast (Super-exponentially) that when the input numbers get larger than about 5 the output number becomes so huge that no real computer, even if it was the size of the observable universe, could compute the output number. And the Busy Beaver Function grows even faster then Ackermann, in fact it grows faster than ANY computable function, that's why Busy Beaver is uncomputable. Even in theory an idealized perfect Turing Machine couldn't calculate the Busy Beaver Numbers except for the first 5 and maybe 6, much less a real computer. John K Clark See what's on my new list at Extropolis <https://groups.google.com/g/extropolis> bac -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/CAJPayv1ysoFxxumBMEtu_HbkDfT_jiFrjSVzHEgsPzzcs3%2BnFA%40mail.gmail.com.
