I've had a nice discussion about determinacy with zen nudist, and others here (in the context of prophecies) :
http://www.jehovahs-witness.com/12/75682/1.ashx
Let me just repost what I think best explains the issue of determinacy in the physical universe.
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Is the universe a "chaotic-deterministic" system, one in which a sort of randomness and a sort of determinacy can occur at the same time?
One definition of chaotic systems goes like this "chaotic systems are ones in which an arbitrarily small difference in the initial conditions can produce arbitrarily large differences in later states."
The classic example is that of the supposedly deterministic atmosphere of our planet. In the atmosphere the flapping of a butterfly at one point may condition the occurring of a storm at a later stage.
However, even if the system is deterministic in principle, it's unpredictable in practice, because however precise the measurement of the possible causes you use, there can always be some minute factors which escape your analysis, but which may amount to something really decisive.
For instance, you may be able to track every single butterfly in the atmosphere, but you can't track all the mosquitos. Once you factor in mosquitos, you still disregard bacteria, and so on and so forth. So even if the atmosphere is deterministic, it's still unpredictable.
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So what? So even it the universe is deterministic, even if all events are always the result of endless chains of other events, life is still fun, because we will never ever be able to predict too much. Which gives us a pretty realistic impression of being able to decide.
Of course such a view is based on a rather simplistic form of mechanics and it desregards the kind of indeterminacies you find in quantum physics, but I like it anyway.