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Subject: Re: It takes math to show truth, matter how strongly you feel about it.

Author: Ed Schröder

Date: 12:20:32 01/28/00

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On January 28, 2000 at 14:15:40, Christophe Theron wrote:

>On January 28, 2000 at 13:56:38, Dann Corbit wrote:
>
>>On January 28, 2000 at 12:07:17, David Paulowich wrote:
>>
>>>On January 28, 2000 at 07:27:54, Enrique Irazoqui wrote:
>>>
>>>>There is a degree of uncertainty, but I don't think you need 1000 matches of 200
>>>>games each to have an idea of who is best.
>>>>
>>>>Fischer became a chess legend for the games he played between his comeback in
>>>>1970 to the Spassky match of 1972. In this period of time he played 157 games
>>>>that proved to all of us without the hint of a doubt that he was the very best
>>>>chess player of those times.
>>>>
>>>>Kasparov has been the undisputed best for many years. From 1984 until now, he
>>>>played a total of 772 rated games. He needed less than half these games to
>>>>convince everyone about who is the best chess player.
>>>>
>>>>This makes more sense to me than the probability stuff of your Qbasic program.
>>>>Otherwise we would reach the absurd of believing that all the rankings in the
>>>>history of chess are meaningless, and Capablanca, Fischer and Kasparov had long
>>>>streaks of luck.
>>>>
>>>>You must have thought along these lines too when you proposed the matches
>>>>Tiger-Diep and Tiger-Crafty as being meaningful, in spite of not being 200,000
>>>>games long.
>>>>
>>>>Enrique
>>>
>>>
>>>I think we need to treat men and machines differently here.  I can accept a
>>>20 game match between two human players as conclusive, for the year it was
>>>played.  And a 400 game match between two computers would convince me.
>>>As long as the computers have a completely different way of playing,
>>>looking at thousands of times more positions than human players do, they
>>>may have to play much longer matches to produce truly convincing results.
>>
>>I think both positions are not correct.  We see an experiment and assume it is
>>repeatable because it repeated.  I flip a penny twenty times and it comes up
>>heads 18 out of 20.  What are the odds it will be a head on the next flip?  It
>>is 0.5 out of 1, the same as if it had been 18 tails out of 20.  We watch a
>>brilliant game and think that we can draw from that that player x is much
>>stronger than player y.  The truth of the matter is that we probably understand
>>the play of neither x nor y since they are hundreds of times better than we are
>>anyway.
>>
>>The ability of a player, whether man or machine, can be judged rationally only
>>by a purely mathematical basis.  Observing a few games and drawing a conclusion
>>is the same sort of science as burning witches and eating mercury to live
>>forever.  Seemed like a good thing to do at the time, but it did not have the
>>scientific basis it purported to possess.
>
>
>I would not have expressed this better myself.
>
>This is not going to make both of us popular though, because many peoples have
>almost-religious beliefs about the computer chess topic.

In my ChessMachine days I did this experiment too but then with real 40/2h
games between 2 identical engines. I can only confirm the results of your
statistic program.

Ed

>    Christophe



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