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 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 <[email protected]>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 <
> [email protected]> 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 <[email protected]>wrote:
>>
>>>
>>>
>>>
>>> On Fri, Dec 27, 2013 at 10:54 PM, LizR <[email protected]> wrote:
>>>
>>>> On 28 December 2013 16:44, Stephen Paul King <
>>>> [email protected]> 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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>>
>>
>>
>> --
>>
>> Kindest Regards,
>>
>> Stephen Paul King
>>
>> Senior Researcher
>>
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> Kindest Regards,
>
> Stephen Paul King
>
> Senior Researcher
>
> Mobile: (864) 567-3099
>
> [email protected]
>
>  http://www.provensecure.us/
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