Re: computer-go: Which Maths Is OT?

[Avijit Ghosh <aghosh@xxxxxxxxxxxxxxxxx>]

On Thu, 4 Nov 1999, John Aspinall wrote:
>  (a) "Sensitive dependence on initial conditions" means the SAME thing as
> it does in chaos theory.  Prove it.  Define Lyapunov exponent for a go
> game.  A previous message from Roy Easton has already shown how difficult
> this will be.

	But Roy Easton also says that chaotic dynamics is inapplicable to
discrete systems which seems to me to imply that it is inapplicable to
quantum systems (which if i recall correctly, he agreed w/), but since 
everything (that last time i checked) is a quantum system that would imply
that the use of chaotic dynamics as a model of *any real world process* to
use your terminology a PoMo game : this means we better scrub all those
weather analogies and butterflies or whatever chaotic kidz wank off on!
On the other hand, my understanding of chaotic dynamics (from the outside)
was they were really just formalizing the idea that a small *volume* of
phase space will distribute infinitely when propagated over time in an
ergodic system (I don't see what discreteness has to do w/ preventing
something being "chaotic" as my understanding of the word but i'll take
your word for it).
	
	-avi