Re: Incompleteness vs. Mechanical Reasoning
- From: Marshall <marshall.spight@xxxxxxxxx>
- Date: Sat, 5 Apr 2008 23:33:43 -0700 (PDT)
On Apr 5, 12:49 pm, Newberry <newberr...@xxxxxxxxx> wrote:
On Apr 3, 8:06 pm, Marshall <marshall.spi...@xxxxxxxxx> wrote:
A thought just occurred to me: could this possibly be
the result of people thinking that incompleteness is
something that affects mechanical systems but not
our brain? Is the idea floating around that the human
mind is somehow capable of doing things not only
that no *current* computer can do, but also that no
possible future computer could ever do? Is that
what's going on here?
How do I say this: I do not subscribe to that hypothesis.
What is your hypothesis?
The brain is a physical object that processes information
according to its nature and according to the laws of
physics. A computer is a physical object that processes
data according to its nature and according to the laws
of physics. The differences between them are entirely
in implementation technology and resource capacity; there
is nothing of a *qualitative* difference.
And even if Church-Turing turns out not to be the case,
even if it turns out that there exist some fancy kinds of
superrecursive or quantum computational methods that
cannot be captured by a contemporary computer, even
if it turns out there is some as-yet-unperceived mechanism
inside the brain that makes it capable of things that the
current architecture of computers could never do, that
mechanism will be reduced via physics, and mechanizable
into a computer architecture of a later design.
Any claims to the contrary are claims of the existence of
the supernatural.
Marshall
.
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