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othercriteria comments on Think Like Reality - Less Wrong
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Indeed, a well-defined probability distribution cries out "deterministic complex system!"; it doesn't really support indeterminism at all. We know how a die roll manages to obey a probability distribution, because it's designed specifically to have several stable states reachable through highly unstable bifurcation points, and the whole thing is made to be as symmetric as possible. But how could the universe manage to obey a probability distribution?
How could it not? The Kolmogorov axioms are not very restrictive.
Obviously, the probability distribution over the state of the universe is not going to be as easy to characterize as the die's Multinomial(1/6,1/6,1/6,1/6,1/6,1/6).