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Subject: Re: Any alternative ways of evaluating positions ?

Author: Werner Kraft

Date: 11:09:29 05/09/05

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In computer chess , the method to find  a move is based on " tree - searching "
>- you
>have a move ( 1.e4 ) - then the 20  reply moves for black . SO you build up
>trees - every variation move is a new branch on it.
>Now - as  a complete analysis of a chess game involves 10-power 120  positions -
>you introduce evaluation system ...
>
>Was there ever another way of looking at that -  may be from exotic branches of
>mathematics - topology e,g ?

Try googling "surreal numbers".  It's an entirely new number system by
mathematician John Conway (creater of the game of life) and is quite intresting.
 It was developed specificly to analyze games, I believe he used it to analyze
the game of go.  The entire theory is based on only two axioms -


 comment " I did not understand even the axioms ... "



I have looked it up on the internet - I found this chap very interesting - and I
want to read the book : How tow ex-students took up pure mathematics and
discovered ( eternal ?? ) happiness "

I come back to you once I have read it .

I mean I like people who work from a more poetic / intuitive level - the Polish
SciFi writer Lem is excellent at that.

I had a chat at  a campfire this weekend with a guy who studied physics and has
a Ph.D in Physiology ( now he does computer simulations of physiological
processes ). He thought there might be a link between chaos theory and making
predictions about the outcomes of a move in the longer term - at least in terms
of probability.

I thought also about the concept of " mind tools " - creating sth like
geometrical figures , that represents chess sequences .

I thought sth along the line of a Rubic cube - ones you have made all this turns
, it seems to be very hard to get back to unicolour surfaces - yet an
experienced player can do that in a few moves.
Now - think about a beatiful , geometric , multi-coloured objetc , that you can
turn and twist in your mind -

( no, I am not talking about erotic fanatsies LOL )

- and that represent a complicated chess position.  Just as a thought experiment
. Each manipulation helps you to solve a chess problem. All the rules of chess
are worked into the structure of this mind- object.
The outcome would be the perfect solution to your chess problem.
No chess computer could use it as an algorithm - because it is purely
geometrical.

Wow - that would be cool !!

I wish there is somewhere an intelligent and open-minded guy around , who has a
good back-ground in Mathematics , Theoretical Physics etc , and turn that all
into something real ... that would be cool.



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