Hi Ken,
in the context of Rosen's objections to course of mathematics since
pythagoras, in what respect would CPPN's be any better than 'rules
centered agent based modelling' ?
I never heard about CPPN's; it seems interesting, but I can't really
find any examples of something they're better at than 'straight' CA
or neural networks ?
curious,
Joost.
On 21 Apr, 2008, at 5:29 PM, Ken Lloyd wrote:
Phil,
There is a fundamental quality in mathematics - equality - or
reversibility,
if you will, that differs from nature. This means that there is a
directionality in natural processes that cannot be deconstructed.
Prigogine
calls the lack of directional and temporal equality "far from
equilibrium".
Mathematics works well at describing systems at equilibrium, and
seems to
get progressively worse the further from equilibrium one gets.
Emergence
creates an emergency, so to speak.
This has been my criticism of rules centered agent based modeling,
which is
a theme from Wolfram, and why I have been researching compositional
pattern
producing networks (CPPN's) evolved by HyperNEAT. It seems to take
energy
to evolve.
The interesting thing is a paradigmatic difference between solving
problems,
and recognizing solutions.
Ken
-------------------------------------------
Joost Rekveld
----------- http://www.lumen.nu/rekveld
-------------------------------------------
"A is better off if B is better off.”
(Heinz von Foerster)
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