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
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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