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Conclusion: the computer has free will, because you can't enter the prediction of what # it will pick, even though you know the exact rule it is using to pick the #.
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You know I would not even bother to play such a game against the computer becuase it would be a complete waste of time. However against Bill Gates I might play a few rounds.
The difference between a man and robot is that a man can let the demon be right.
According to
Wikipedia
Determinism in the West is often associated with Newtonian physics, which depicts the physical matter of the universe as operating according to a set of fixed, knowable laws. The "billiard ball" hypothesis, a product of Newtonian physics, argues that once the initial conditions of the universe have been established the rest of the history of the universe follows inevitably. If it were actually possible to have complete knowledge of physical matter and all of the laws governing that matter at any one time, then it would be theoretically possible to compute the time and place of every event that will ever occur (Laplace's demon). In this sense, the basic particles of the universe operate in the same fashion as the rolling balls on a billiard table, moving and striking each other in predictable ways to produce predictable results.
I believe all actions follow to a degree deterministic laws, but I wholeheartly reject this view of determinism. If this veiw was correct nothing could prevent the demon from making an accurate prediction(including the stringent constraints of the thought experiment).
Stu