Author: chandler yergin
Date: 17:09:36 01/12/05
Go up one level in this thread
On January 12, 2005 at 20:04:11, Uri Blass wrote: >On January 12, 2005 at 19:45:49, chandler yergin wrote: > >>On January 12, 2005 at 19:41:44, Uri Blass wrote: >> >>>On January 12, 2005 at 19:27:05, chandler yergin wrote: >>> >>>>On January 12, 2005 at 19:11:12, Dann Corbit wrote: >>>> >>>>>On January 12, 2005 at 19:04:31, chandler yergin wrote: >>>>> >>>>>>So says Mark Twain.... >>>>>> >>>>>>You Programmers are spreading lies, misinformation, & disinformation. >>>>>> >>>>>>However I should not attribute to Malice, what can be explained by Ignorance! >>>>>> >>>>>>Computers will NEVER SOLVE CHESS! >>>>>>Stop your Nonsense! >>>>> >>>>>If man were meant to fly, he'd have wings. >>>>>Man will never fly faster than sound. >>>>>Man will never go to the moon. >>>>> >>>>>Things that seem impossible quickly become possible. >>>>> >>>>>In this particular case, it is even obvious mathematically how it will come >>>>>about. >>>> >>>>If you understood Mathmatics, you wouldn't say that! >>>> >>>>It IS Obvious, that it's an Impossibility! >>>> >>>>The Question of "whether or not God exists" is a Philosophical & Meataphysical >>>>Question. >>>>Would you agree? >>>> >>>>Some say.. "It can't be Proven". >>>>With a Philosophical Question, there are NO 'right or wrong' answers... >>>> >>>>With Mathmatics, there ARE 'right & wrong' answers. >>> >>>Mathematics will not tell you if it is practically possible to solve chess. >>> >>>> >>>>Your perception is in error! >>>> >>>>THINK! >>>> >>>>"In a tree, from the Starting Position, there are 20 possible moves for white. >>>>There are 20 * 20 = 400 possible moves for black, depending on what white does. >>> >>>Yes but you do not need to analyze everyone of them and no program does it. >>> >>>>Then there are 400 * 20 = 8,000 for white. >>> >>>The number of possible games of 3 plies is more than 8000. >>>The number of possible positions that you get after 3 plies is smaller because >>>1.e4 e6 2.d4 is identical to 1.d4 e6 2.e4 >>> >>> >>> Then there are 8,000 * 20 = 160,000 >>>>for black, and so on. If you were to fully develop the entire tree for all >>>>possible chess moves, the total number of board positions is about >>>>1,000,000,000,000,000,000,000,000, >>>>000,000,000,000,000,000,000,000,000,000,000,000,000,000, >>>>000,000,000,000,000,000,000,000,000,000,000,000,000,000, >>>>000,000,000,000, or 10^120, give or take a few. >>> >>>No >>> >>>The number of possible games is higher than 10^120 >> >> >>Give or take a few... >> >> >>> >>>The number of total positions is clearly smaller. >> >>I just proved it isn't! > >No you did not. > >> >> >>>Maybe 10^40 and it is easy to prove it. >> >>PROVE IT! Stop your absurd assertions! > >Ok here is a proof it is less than 10^55 > >For every position you do the following steps: > >1)defining place for the kings: >less than 64^2=2^12 possibilities >2)defining the empty squares of the rest of the pieces 2^62 possibilities > >3)defining the type of the pieces in the non empty squares. > >Every non empty square has 10 possibilities(5 for white and 5 for black): >1)White queen >2)White Rook >3)White bishop >4)White knight >5)White pawn > >The total number of cases is 10 for every one of the 30 squares(or less non >empty squares so you have at most 10^30 possibilities. > >4)defining the side to move 2 possibilities > >5)define the ep flag 8 possibilities > >6)defining castling rights(16 possibilities in the worst case) > >2^74*10^30*2*8*16<10^55 > >Most of the positions are illegal because position when the side to move is in >check is illegal or position when white has 9 pawns is illegal. > >If you limit yourself only to legal positions than 10^40 seems to be a good >estimate. > >Uri Well it's NOT! Key word again... "Seems". You use that a LOT Uri. Possible moves... 10 ^120th Power! IN an "average game of 40 moves... NOW REFUTE IT! Can't huh?
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