On 28 Dec 2013, at 05:06, LizR wrote:
Clearly programmes don't have to be deterministic. They could
contain a source of genuine randomness, in principle.
I don't think the UD does, however.
The UD emulates all quantum computer and many sort of non
deterministic processes, including all randomness (through the
inputs), even deterministically.
Just think about the fact that the UD does emulate infinite iteration
of the WM duplication.
Bruno
The definition of deterministic would be - gives the same output on
each run (given that the UD has no input).
On 28 December 2013 17:03, Stephen Paul King <stephe...@provensecure.com
> wrote:
I ask this because I am studying Carl Hewitt's Actor Model...
On Fri, Dec 27, 2013 at 11:03 PM, Stephen Paul King <stephe...@provensecure.com
> wrote:
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
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