On Nov 28, 9:56 pm, Torgny Tholerus <tor....domain.name.hidden> wrote:
>
> You only need models of cellular automata. If you have a model and
> rules for that model, then one event will follow after another event,
> according to the rules. And after that event will follow another more
> event, and so on unlimited. The events will follow after eachother even
> if you will not have any implementation of this model. Any physics is
> not needed. You don't need any geometric properties.
>
> In this model you may have a person called Torgny writing a message on a
> google group, and that event may be followed by a person called Marc
> writing a reply to this message. And you don't need any implementation
> of that model.
>
> --
> Torgny
A whole lot of unproven assumptions in there. For starters, we don't
even know that the physical world can be modelled solely in terms of
cellular automata at all. Digital physics just seems to be the latest
'trendy' thing, but actual evidence is thin on the ground.
Mathematics is much richer than just discrete math. Discrete math
deals only with finite collections, and as such is just a special case
of algebra. Algebraic relations extend beyond computational models.
Finally, the introduction of complex analysis, infinite sets and
category theory extends mathematics even further, beyond even
algebraic relations. So you see that cellular automata are only a
small part of mathematics as a whole. There is no reason for thinking
for that space is discrete and in fact physics as it stands deals in
continuous differential equations, not cellular automata.
Further, the essential point I was making is that an informational
model of something is not neccesserily the same as the thing itself.
An informational model of a person called Marc would capture only my
mind, not my body. The information has to be super-imposed upon the
physical, or embodied in the physical world.
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Received on Wed Nov 28 2007 - 23:47:16 PST