Re: Can Computers Have Incomputable Concepts?
- From: A.L. <fela@xxxxxxxx>
- Date: Sun, 24 Jun 2007 08:59:59 -0500
On Sun, 24 Jun 2007 00:22:22 -0700, LauLuna <laureanoluna@xxxxxxxx>
wrote:
That is exactly why I'm asking for help. I don't know what it means
for a computer to have a concept. I'm suggesting to assume we are
computers and all possible human cognitive behavior is computation.
This is VERY questionable, however some serious guys think that this
is true. One of them is Drew McDermott
http://cs-www.cs.yale.edu/homes/dvm/
Go to his page and check relevant publications, especially the book
"Mind and Mechanism" where he exposes his credo
Then, since we undoubtedly have the concept of arithmetical truth,
there are computers that have that concept. But the concept is
incomputable; how is this possible?
There are lot of misconceptions about what Goedel's theorem says and
to what areas it applies. See the following book: Goedel's Theorem: An
Incomplete Guide to Its Use and Abuse" by Torkel Franzen. Chapter 6
has title "Goedel, Minds and Computers" that addresses your question.
It also comments famous (and controversial) Penrose books.
In logical terms, let's say we can have a concept C in an extensional
way or only in an intensional way. In the latter case we are not
always able to recognize whether an object falls under C or doesn't
even if C is definite and well-defined.
So, I'm asking: how could computers have concepts in just an
intensional way?
Only if you explain what it means "concept" and "has". Remember that
computer is nothing more than container of "0" and "1" plus simple
prcessing unit tht is not more sophisticated than Turing machine.
A.L.
.
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- Can Computers Have Incomputable Concepts?
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