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​



>
>
> Brent
>
>    This seems to be an attack on the UD, which requires computational
> universality, but I assure you that it is very Digital Mechanism friendly.
> I am after Correct computers, not Universal computers. An example of such
> is the TauChain.
>
> On Thu, Sep 15, 2016 at 1:54 PM, Brent Meeker <meeke...@verizon.net>
> wrote:
>
>> According to Bruno it's in Platonia.  It's timeless and doesn't "go", it
>> just IS, like 2+2 IS 4.
>>
>> Brent
>>
>
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