How do we distinguish a program from a string of random numbers. (Consider
OTP encryptions).
On Fri, Dec 27, 2013 at 10:56 PM, Jason Resch <jasonre...@gmail.com> wrote:
>
>
>
> On Fri, Dec 27, 2013 at 10:42 PM, Stephen Paul King <
> stephe...@provensecure.com> wrote:
>
>> Hi Jason,
>>
>> "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.
>> "
>>
>> this also captures every instance of random numbers as well.
>>
>
> It is not clear to me what "random" means in arithmetical truth.
>
> Randomness can appear from the perspectives of observers, but I don't see
> how it can arise in arithmetic.
>
>
>> What method is deployed to ensure that a program is not just a "regular"
>> random number and not some random number prefixed on a "real" halting
>> program?
>>
>
> It don't see how it makes a difference.
>
>
>>
>> Truth is not a measure zero set, or is it?
>>
>
> I don't understand this question.. Could you clarify?
>
> Jason
>
>
>>
>>
>>
>> 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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>
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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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