@trysts: Thinking has qualities that can't be programmed into a computer, i.e., doubt, and empathy.
Why on earth can't they be programmed? Are doubt and empathy special emmanations from the soul? I think they are simply by-products of a sufficiently powerful self-awareness. If a machine can be programmed into full self-awareness it'll be a doubting, empathetic machine, or at least _capable_ of such. IMO.
And now, a question: Has anyone ever investigated a relationship between chaos theory and chess? It may be possible to create a model to explain certain aspects of positional analysis.
@mavanendra It's an interesting question, which i'm completely unqualified to consider, beyond this: I think there's an order of magnitude's difference (or several orders) between the incalculability of a complex chess position and the incalculability of turbulence.
I too think there is rather a big difference between a deterministic finite game and a chaotic continuous process. Did you know that there is a $1,000,000 prize available from the Clay Mathematical Institute to the person who can "make substantial progress toward a mathematical theory which will unlock the secrets hidden in the Navier-Stokes equations"? I think a big problem is that the precise flows are simply not predictable, but macroscopic properties of them must be, or jet planes would have a lot of problems. But how do you pin down the aspects of a flow that are predictable?