On Fri, Sep 16, 2016 at 11:16 AM, Bruno Marchal <marc...@ulb.ac.be> wrote:

>
> On 16 Sep 2016, at 01:29, Stephen Paul King wrote:
>
>
>
> On Thu, Sep 15, 2016 at 6:47 PM, Brent Meeker <meeke...@verizon.net>
> wrote:
>
>>
>>
>> On 9/15/2016 11:03 AM, Stephen Paul King wrote:
>>
>> I get that and buy it too, Brent. Platonia is the "flat" Complete
>> version, I am looking for the infinite tower of incomplete yet consistent
>> theories
>>
>>
>> I don't understand what you mean by that.  I assume "theories" refers to
>> axiomatic systems.  If I take one such system, like arithmetic, I can keep
>> adding the unprovable Godel sentences as axioms and so create an unbounded
>> "tower" of systems.  Is that what you mean?
>>
>
> ​Yes, sorta.​
>
>
>
>>
>>
>> and trying to make sense of computational languages that could use those
>> theories. Remember that computers do not need to be Turing Complete if they
>> only need to compute one algorithm efficiently and correctly.
>>
>>
>> That's the view of an algorithm as computing a function; so given an
>> input there is a certain correct output.  But the UD doesn't have any input.
>>
>
> ​It has itself as an input. :-P​
>
>
> ?
>
> Possibly in a quite novel non standard sense, but I'm afarid this could
> lead to confusion, especially with beginners.
>
> The UD is typically a program without input. You enter its code in the
> language of some universal machine, without giving it any input, and it
> runs forever, meaning it has no output.
>
> Extensionally, it is equivalent with the empty function from the empty set
> to the empty set (the unique element of 0^0 in set theoretical term, with 0
> identified with the empty set).
>
> Intensionally, assuming computationalism it is all activities of all
> machines in all locally consistent context.
>
> Some would like to add, all thoughts, but the thoughts remain stable and
> make possibly sense only on the infinities on which the First Person
> Indeterminacy operates.
>
> In the 3-1 picture, we can attach a consciousness to a 
> program/machine/3-p-representation...,
> it is often polite, but in the 1-p picture, that is, from the first person
> perspective "you" are related to an infinity (2^aleph_0) of computational
> histories. The UD "runs" you on all real oracles, notably.
>
> Bruno
>
>
> http://iridia.ulb.ac.be/~marchal/
>
>
>
>
Can the UD diagonalize with almost all possible versions of itself? I have
forgotten some details...


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