On 28 Dec 2013, at 05:03, Stephen Paul King wrote:

I ask this because I am studying Carl Hewitt's Actor Model...

Also know today as "object oriented" languages. c++ win against smaltalk, which won against the Actor model, but the idea is the same, basically. It is efficacious, but the math and semantics is still unclear to me. It is a sort of vague polymorphic lambda calculus. I did love a long time ago, the "actor model". It is somewhat psychologically sad that the term "object" replaced the term "actor".

bruno



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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 http://www.provensecure.us/




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