On Friday, Jan 12, 2007, at 16:04 US/Central, Nick Apperson wrote:

Mathematical solutions are certainly a good possibility to reduce the amount of processing power needed.  However, a person would not be able to solve 19x19 because a person lacks the necessary computational resources to form a solution in any reasonable amount of time.  A computer would therefore have to solve go. 

For all we know, there may be a mathematical solution to Go that does not depend upon performing any sort of computation. For all we know, there might be a *rule* that tells one how to play optimally. There are game that have such solutions.

It seems unlikely that this would be the case with Go, but it is not impossible and I suspect that any "intuitions" any of us have about this one way or the other are simply delusions -- we don't know enough to have any genuine intuitions.

Ray

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