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.


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