On Fri, Dec 27, 2013 at 10:54 PM, LizR <lizj...@gmail.com> wrote: > On 28 December 2013 16:44, Stephen Paul King > <stephe...@provensecure.com>wrote: > >> Hi Jason, >> >> "The first, second, 10th, 1,000,000th, and 10^100th, and 10^100^100th >> state of the UD's execution are mathematical facts ..." Umm, how? Godel >> and Matiyasevich would disagree! If there does not exist a program that can >> evaluate whether or not a UD substring is a faithful representation of a >> "true theorem", then how is it "a fact"? >> >> That depends on whether the UD is deterministic or not. >

It is. The evolution of any Turing machines is deterministic. > If it is, then, its Nth state is a fact. (It doesn't need to be run or > evaluated, and the Nth state may be a fact that nobody knows, like the > googolth digit of pi, assuming no one's worked that out.) > Right. :-) The fact that I remember drinking a glass of water is as much a mathematical fact about the UD, as the fact as the third decimal digit of Pi is 4. Jason -- 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 everything-list+unsubscr...@googlegroups.com. To post to this group, send email to everything-list@googlegroups.com. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.