Author: Dann Corbit
Date: 17:45:23 01/20/05
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On January 20, 2005 at 20:04:22, Louis Fagliano wrote: [snip] >Actually 10^43rd power does not shrink at all. You started out "shrinking" by >throwing out idiotic moves when considering all possible chess games which is >something like 10^120th power. That number can be "shrunk" by throwing out >idiotic games. But 10^43rd power is the number is the number of legal positions >in chess, not the number of different possible games since there are an >inumberable ways of reaching any particular legal position by an inumberable >number of different move orders. The number of legal positions can never be >"shrunken" because every legal position must be considered in order to solve >chess regardless of whether or not the moves that preceeded it in order to reach >that position were idiotic or masterful. 10^43rd power can be shrunken by a factor of 4 through simple reflections of the board. Perhaps there are additional symmetry arguments that can reduce it further.
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