On Sun, Mar 09, 2014 at 06:15:07AM -0700, Edgar L. Owen wrote:
> Russell,
> 
> Yes, but that is crazy because it assumes all theories are equally valid 
> with which I disagree. Science selects theories based on which best explain 
> the observable universe. Therefore it is reasonable to assume that theories 
> DO reflect actual reality. They are not just made up by humans willy 
> nilly....
> 
> I would be surprised if Brent, a physicist, disagrees with that but I'll 
> let him speak for himself.
> 
> Edgar
> 

Actually, both Brent and Liz made comments here which I broadly agree
with, as well as pointing out David Deutsch's position, which I do
find myself in disagreement, for much the same reasons they mentioned.

I would describe myself as an agnostic realist, not an
a-realist. There may very well be some external reality propping
everything up, but if COMP is true, and more importantly, if our
observed reality is some random selection from the space of all
possible bits strings compatible with our existence (eg we are facing
UD*), then the properties of that external reality are fundamentally
unknowable. It is about as useful a hypothesis as a deist God who
doesn't interfere in the running of the universe.

One of David's strongest arguments in favour of a genuine external
reality is the fact that the physical universe seems incapable of
computing things that Turing machines are incapable of. His counter
example is the Infinity Hotel universe, based on the popular "Infinity
Hotel" story used to introduce Cantor's paradise to maths
students. The Infinity Hotel is capable of computing things which are
impossible in our universe, or in any Turning machine, for that
matter. It is an example of a hypercomputer.

This is not a problem with COMP, which axiomatically supposes the
conventional Turing model of computation is all that exists. But it
may be an issue for my somewhat more general "Nothing" model of all
bitstrings, as a priori, there is no restriction of computational
models. It remains an open problem to show whether the "Nothing"
naturally implies the Turing model, or the converse, that
hypercomputers are indeed possible in that idea (in which case my
thesis would be refuted, and David would essentially be right).

But my point remains, at this point in time, intrasubjective consistency is
not sufficient to demonstrate the existence of an external reality
independent of the process of observation, contra Edgar's claim.

-- 

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Prof Russell Standish                  Phone 0425 253119 (mobile)
Principal, High Performance Coders
Visiting Professor of Mathematics      [email protected]
University of New South Wales          http://www.hpcoders.com.au
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