On Fri, Dec 27, 2013 at 11:11 PM, Stephen Paul King <
stephe...@provensecure.com> wrote:

> Hi Jason,
>
>
> On Fri, Dec 27, 2013 at 11:08 PM, Jason Resch <jasonre...@gmail.com>wrote:
>
>>
>>
>>
>> On Fri, Dec 27, 2013 at 11:01 PM, Stephen Paul King <
>> stephe...@provensecure.com> wrote:
>>
>>> How do we distinguish a program from a string of random numbers.
>>> (Consider OTP encryptions).
>>>
>>>
>>>
>> By "we" do you mean the UD or something else?
>>
>
> What "else" is there?
>
>
It doesn't matter whether i will be translated to a non-sensical or useful
program, all i's map to programs, and all programs can be executed one
instruction at a time.

Jason


>
>
>>
>> Jason
>>
>>
>>
>>
>>> 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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>>>
>>>
>>>
>>> --
>>>
>>> Kindest Regards,
>>>
>>> Stephen Paul King
>>>
>>> Senior Researcher
>>>
>>> Mobile: (864) 567-3099
>>>
>>> stephe...@provensecure.com
>>>
>>>  http://www.provensecure.us/
>>>
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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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