**From:** Marc Geddes (*marc_geddes@yahoo.co.nz*)

**Date:** Thu Mar 17 2005 - 20:28:32 MST

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--- Ben Goertzel <ben@goertzel.org> wrote:

*>
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*> I believe what Marc really wants to say here is NOT
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*> that Bayes theorem is
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*> "broken" (clearly it's correct math), but rather
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*> that explicitly applying
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*> Bayesian inference is not a computationally feasible
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*> strategy in most cases.
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*> So it's the idea that "intelligence should be
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*> achieved primarily via
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*> explicit application of Bayes Theorem" that is
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*> broken.
*

Right.

I also want to point to recent theoretical ideas from

physics (namely the Holographic Principle of G. 't

Hooft ) which seem to be starting to approach a proof

that all finite physical processes must consist of

finite number of computational steps. On the basis of

this it seems likely that 'computational

intractibility' should be regarded as a fundamental

law, not just a practical constraint. It's only a

small intuitive step from there to thinking that there

is something wrong with current probability theory as

applied to theoretical computational models, because

theoretical ideal models are failing to take into

account a fundamental property of nature (namely that

computational resources per unit space must be

finite).

Does this clarify?

--- THE BRAIN is wider than the sky, For, put them side by side, The one the other will include With ease, and you beside. -Emily Dickinson 'The brain is wider than the sky' http://www.bartleby.com/113/1126.html --- Please visit my web-site: Mathematics, Mind and Matter http://www.riemannai.org/ --- Find local movie times and trailers on Yahoo! Movies. http://au.movies.yahoo.com

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