Dear Jason,
ISTM that the line " For each program we have generated that has not
halted, execute one instruction of it for each (Program p in
listOfPrograms)" is buggy.
It assumes that the space of "programs that do not halt" is accessible. How?
On Fri, Dec 27, 2013 at 10:09 PM, Jason Resch <jasonre...@gmail.com> wrote:
>
>
>
> On Fri, Dec 27, 2013 at 9:31 PM, Stephen Paul King <
> stephe...@provensecure.com> wrote:
>
>> Hi Jason,
>>
>> Could you discuss the "trace of the UD" that LizR mentioned? How is it
>> computed? Could you write an explicit example? I have never been able to
>> grok it.
>>
>>
> Bruno has written an actual UD in the LISP programming language. I will
> write a simple one in pseudo-code below:
>
> List listOfPrograms = new List[]; # Empty list
> int i = 0;
> while (true)
> {
> # Create a program corresponding to the binary expansion of the integer
> i
> Program P = createProgramFromInteger(i);
>
> # Add the program to a list of programs we have generated so far
> listOfPrograms.add(P);
>
> # For each program we have generated that has not halted, execute one
> instruction of it
> for each (Program p in listOfPrograms)
> {
> if (p.hasHalted() == false)
> {
> executeOneInstruction(p);
> }
> }
>
> # Finally, increment i so a new program is generated the next time
> through
> i = i + 1;
> }
>
>
> Any program, and whether or not it ever terminates can be translated to a
> statement concerning numbers in arithmetic. Thus mathematical truth
> captures the facts concerning whether or not any program executes forever,
> and what all of its intermediate states are. If these statements are true
> independently of you and me, then the executions of these programs are
> embedded in arithmetical truth and have a platonic existence. The first,
> second, 10th, 1,000,000th, and 10^100th, and 10^100^100th state of the UD's
> execution are mathematical facts which have definite values, and all the
> conscious beings that are instantiated and evolve and write books on
> consciousness, and talk about the UD on their Internet, etc. as part of the
> execution of the UD are there, in the math.
>
> Jason
>
>
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--
Kindest Regards,
Stephen Paul King
Senior Researcher
Mobile: (864) 567-3099
stephe...@provensecure.com
http://www.provensecure.us/
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