Author: Uri Blass
Date: 00:33:21 01/21/05
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On January 20, 2005 at 20:45:23, Dann Corbit wrote: >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. Where is the proof that 10^43 is correct? I read that Vincent claimed that it is correct but I saw no proof for it. I do not say that it is wrong but we need a link to some proof before claiming that it is at most 10^43 Uri
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