monty wrote:
The chess playing computer does not make a decision. We're going to have to agree to disagree on this one. //
Well in this example I believe you are right in that the computer has no decision to make, it is purely a math problem. The computer models the infinite number of possibilities, but in the end the math answer prescribes the move, not the computer.
However in poker where people play, and each and every play has a math equation associated with it, math does not prescribe every move. The math could be overwhelming in a situation and yet the person may choose(free will?) to go the opposite direction, and for a variety of reasons. And those people that can choose that route more often than not, are not said to be lucky, but good decision makers. There is a small amount of luck involved in poker, but over a long period of time and over lots and lots of players, it is all just variance. People that manage that variance well are the ones that make a living, those that do not just contribute to prize pools and pots.
Computers have come to dominate in chess now, I dont think humans can beat them at all anymore. Poker is another thing altogether, but no doubt when a computer becomes self aware and can actually choose against the math for valid reasons, it will be a worthy competitor..
Well, the chess computer is given a set of conditions, the rules of movement of the pieces, the general rules of the game, and an algorithm for determining best moves. We give the computer a situation to resolve and the computer tells us the move to make. Picking that move is the decision.
As for poker and the rest of it, it's all math. Choosing "against the math" is just a broader math governing a more narrow math.