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Subject: Re: Lies.. Damn Lies & Statistics!

Author: Dann Corbit

Date: 16:56:25 01/12/05

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On January 12, 2005 at 19:37:29, Steve Maughan wrote:

>Dann,
>
>>Things that seem impossible quickly become possible.
>
>I recon about 300 years before a computer will solve chess.  This assumes
>
>1) 10^120 possible positions

This is far, far too large.  Chess positions have been encoded in 162 bits,
which puts an absolute upper limit at 10^58 (and it is probably much less than
that).

>2) Alpha-beta cutting this down to 10^60 sensible positions

The incorrect first assumption renders this and all following assumtions as
moot.

>3) Moore's law holding ad-infinitum i.e. doubling in speed every 18 months
>4) Assume that we're happy to let a computer ponder for one whole year to solve
>the game (i.e. 31.5 million secs)
>5) Today the fastest quad PC can analyze 5 million pos / sec today
>
>These assumptions imply that after 273 years the fastest computer systems will
>be able to solve chess given 1 years worth of thought!!
>
>Of course I doubt that Moore's law will hold for 300 years - but who knows!
>
>I think I know the answer already 1.e4 draw!!!
>
>Steve



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