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?

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.

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 <[email protected] <mailto:[email protected]>> 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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