Author: Ingo Lindam
Date: 11:12:06 12/11/02
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On December 11, 2002 at 13:54:08, Dann Corbit wrote: >On December 11, 2002 at 13:46:45, Ingo Lindam wrote: > >>On December 11, 2002 at 13:23:23, Dann Corbit wrote: >> >>>I never said it 'has to be done with' -- only that they are equivalent and >>>alternatives will not be superior. >>> >>>For that matter, the tree is nothing more than a visualization aid. The steps >>>will be the same whether or not a tree is used to visualize it. >> >>So I understand you right that to prove that following position will end in a >>draw is impossible by a giving proof less complex (smaller) than that very very >>big tree of all possible continuations...??? >> >>[D] 6k1/bp1p1p1p/8/pPpPpPpP/P1P1P1P1/8/B3K3/8 w - - 0 1 >> >>You are just kidding, aren't you? > >Of course not. Any *proof* of the forced outcome of this game will be identical >to the tree proof. Hey Dann, please... :-((( !!!! you are/were a math major... it can't be true that you don't see it. It hurts... and I am really crying now... You can see the position? You know the chess rules? What are the possible results of a chess game? If white can not win the position and black can not win the position, what is the only possible result? What is needed to win a game? YES! Mate! Might there any arguments to prove that white can not mate without promoting a pawn...? Might there any arguments to prove that black can not mate without promoting a pawn...? What about strategies to defend against promoting for white/black? (ofcourse you can give an equivalent to each proof within a tree, but this is not the tree of all continuations!!!!) So, now forget everything you believe to know about the connection between trees and proofs. Take you pencil... take a sheet of paper... sit down... be a nice boy... and write down the proof!!! ..and if you do not see it then....!!! Then take as much paper as you need and try to write all possible continuations on the paper until you finally feel the difference in every finger and you see... "oh, he's right...the is indeed a tiny difference!" Internette Gruesse, Ingo
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