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Subject: Re: How many chess positions or moves exist in chess???

Author: Uri Blass

Date: 10:39:27 12/22/00

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On December 22, 2000 at 11:49:22, Tania Devora wrote:

>
>How many positions or moves exist in chess?
>
>
>I mean all the possible moves!,
>good moves, stupid moves like. 1.h4 1.a5. 2.Th3 2.a4 Ta3 3.Ta6 3.Tg3 4.Ta6 Th3
>etc etc........
>
>I think that the number will be verrryyyy HUUGEE!! I think that any machine or
>computer in the future  could see all the possibilities in chess.
>
>What do you think?  Anybody have an idea? of how many possibilities exist in the
>chess game?


The number of possible games including stupid moves is very big and no computer
in the future will calculate it but you do not need to calculate all the
possible games in order to solve chess.

For example you do not need to calculate both 1.e4 c5 2.c4 and 1.c4 c5 2.e4
inspite of the fact that the games are different.

The more interesting question for solving chess is the number of legal
positions.
The number of legal positions is clearly smaller and there is less than 10^50
legal positions(I guess there are about 10^40 positions(1 with 40 0's)).

I do not expect a computer in the next 100 years to have memory of 10^50 or even
10^40 positions but it may be possible to solve chess with less positions
because it is possible to prune illogical moves and get less positions.

An example to illogical moves that it is possible to prune is 1.e4 Nf6 2.Qh5

I am sure that 2.Qh5 is losing and chess programs have no problem to win with
black so programs do not need to have knowledge about the right move after 1.e4
Nf6 2.Qh5 and search is enough.

The number of possible positions when you prune moves that are illogical may be
smaller and computers may solve chess in the future but the number is still too
big for the computers of today and I do not expect computers to solve chess in
the next 50 years.

Uri



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