RE: Infinity and the mind was: Infinite universe

From: Ben Goertzel (
Date: Sat May 03 2003 - 08:52:15 MDT

Lee wrote:
> Ben writes
> > In this sense, though, all Godel's Theorem says is that no
> finite system is
> > ever gonna be infinitely intelligent -- every finite system has
> its limits
> > in terms of the problems it can solve. And if you get rid of
> the finitude
> > restriction, you get AIXI which can solve any finitely given
> problem -- it
> > supersedes the Godel problem by being uncomputable!
> Wouldn't it be more correct to say that every finite system has
> limits at a given point in time in terms of the problems it can
> solve? That is, do you see a reason that an extremely advanced
> entity could not rapidly become more intelligent over time?
> (Where "rapidly" means quickly by our time scale.)

Well, unless it becomes infinitely intelligent (i.e. unless it somehow
achieves infinite computational resources and then makes good use of them)
there are still limits in what it can accomplish over any span of time

Ben G

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