On Mon, Dec 1, 2008 at 6:20 AM, Ben Goertzel <[EMAIL PROTECTED]> wrote:
> On Sun, Nov 30, 2008 at 11:48 PM, Hector Zenil <[EMAIL PROTECTED]> wrote:
>> On Mon, Dec 1, 2008 at 4:55 AM, Ben Goertzel <[EMAIL PROTECTED]> wrote:
>>> But I don't get your point at all, because the whole idea of
>>> "nondeterministic" randomness has nothing to do with physical
>>> reality...
>>
>> I don't get it. You don't think that quantum mechanics is part of our
>> physical reality (if it is not all of it)?
>
> Of course it isn't -- quantum mechanics is a mathematical and
> conceptual model that we use in order to predict certain finite sets
> of finite-precision observations, based on other such sets
>

Oh I see! I think that's of philosophical taste as well. I don't think
everybody would agree with you. Specially if you poll physicists like
those that constructed the standard model of computation! We cannot
ask Feynman, but I actually asked Deutsch. He does not only think QM
is our most basic physical reality (he thinks math and computer
science lie in quantum mechanics), but he even takes quite seriously
his theory of parallel universes! and he is not alone. Speaking by
myself, I would agree with you, but I think we would need to
relativize the concept of agreement. I don't think QM is just another
model of merely mathematical value to make finite predictions. I think
physical models say something about our physical reality. If you deny
QM as part of our physical reality then I guess you deny any other
physical model. I wonder then what is left to you. You perhaps would
embrace total skepticism, perhaps even solipsism. Current trends have
moved from there to a more relativized positions, where models are
considered so, models, but still with some value as part of our actual
physical reality (just as Newtonian physics is not just completely
wrong after General Relativity since it still describes a huge part of
our physical reality).

At the end, even if you claim a Platonic physical reality to which we
have no access at all, not even through our best explanations in the
way of models, the world is either quantum or not (as we have defined
the theory), and as long as it remains as our best explanation of a
the phenomena that characterizes one has to face it to other models
describing other aspects or models of our best known physical reality.
It is not clear to me how you would deny the physical reality of QM
but defend the theory of computability or algorithmic information
theory as if they were more basic than QM.

If we take as equally basic QM and AIT, even in a practical sense,
there are incompatibilities in essence. QM cannot be said as Turing
computable, and AIT cannot posit the in-existence of non-deterministic
randomness specially when QM says something else. I am more in the
side of AIT but I think the question is open, is interesting (both
philosophically and scientific) and not trivial at all.


>>> true random numbers are uncomputable entities which can
>>> never be existed,
>>
>> you can say that either they don't exist or they do exist but that we
>> don't have access to them. That's a rather philosophical matter. But
>> scientifically QM says the latter.
>
> Sure it does: but there is an equivalent mathematical theory that
> explains all observations identically to QM, yet doesn't posit any
> uncomputable entities
>
> So, choosing to posit that these uncomputable entities exist in
> reality, is just a matter of aesthetic or philosophical taste ... so
> you can't really say they exist in reality, because they contribute
> nothing to the predictive power of QM ...
>


There are people that think that quantum randomness is actually the
source of the complexity we see in the universe [Bennett, Lloyd]. Even
when I do not agree with them (since AIT does not require
non-deterministic randomness) I think it is not that trivial since
even researchers think they contribute in some fundamental (not only
philosophical) way.


> -- Ben G
>
>
> -------------------------------------------
> agi
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-- 
Hector Zenil                            http://www.mathrix.org


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