Hi jason, Do programs have to be "deterministic". What definition of deterministic are you using?
On Fri, Dec 27, 2013 at 11:00 PM, Jason Resch <jasonre...@gmail.com> wrote: > > > > 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 a topic in the > Google Groups "Everything List" group. > To unsubscribe from this topic, visit > https://groups.google.com/d/topic/everything-list/sqWzozazMg0/unsubscribe. > To unsubscribe from this group and all its topics, 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. > -- Kindest Regards, Stephen Paul King Senior Researcher Mobile: (864) 567-3099 stephe...@provensecure.com http://www.provensecure.us/ “This message (including any attachments) is intended only for the use of the individual or entity to which it is addressed, and may contain information that is non-public, proprietary, privileged, confidential and exempt from disclosure under applicable law or may be constituted as attorney work product. If you are not the intended recipient, you are hereby notified that any use, dissemination, distribution, or copying of this communication is strictly prohibited. If you have received this message in error, notify sender immediately and delete this message immediately.” -- 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.
