One small quibble though: You folks aren’t talking about Heisenberg’s Uncertainty Principle, rather the Observer Effect.
Well, I’m sort of combining the two ideas, because in essence they’re intimately related. The Observer Effect proposes that the innate uncertainty within a system collapses only when the system interacts with an observer. This seems to be true enough, but the argument then becomes, well what constitutes an observer? It would seem that anything at all that interacts with the system is a potential observer, capable of collapsing the wave function. But some would argue that the wave function collapses only when the interaction includes a “conscious” observer. This idea of “consciousness” seems to be a bit of a vague and unnecessary complication, but can’t be ruled out due to the measurement problem. The measurement problem essentially holds that you can’t know, with absolute certainty, whether the wave function has indeed collapsed, without somehow interacting with the system, and gaining information about it. To know if the wave function has collapsed, you have to “look” at it, thereby entangling yourself with the system such that you can never be completely certain whether it was the interaction that caused the collapse, or you, the conscious observer. Thus we have an intimate connection between innate uncertainty, and the conscious observer.
So it may be that we do not live in a universe that is completely deterministic. There appears to be an underlying foundation of uncertainty. The role that you, I, or God plays in the unfolding of this universe is debatable. It may still turn out to be that everything is fixed and predetermined, or it may be that we the observer have some measure of free will. We may be able to assert some degree of control, if only over our own thoughts and actions. Which leads interestingly enough to the idea raised by Bob Crowley in post #8.
However, in the macro world, all these “unknowable” quantum states don’t seem to make much difference.
This observation of the seeming inevitability of outcomes, leads to a fascinating consequence in a system with even an apparently insignificant degree of uncertainty. In fluid mechanics if you try to model the behavior of a small number of particles within a system, the initial uncertainty inherent within the individual particles causes the accuracy of the model to fall off rapidly beyond a certain point. This is known as the Butterfly Effect. Even small variations in the initial conditions lead to huge discrepancies in outcomes. In a system with a small number of particles you can’t predict the final state based upon the initial conditions, due to the minute uncertainty inherent in the particles.
But if you increase the number of particles in the system, the model’s ability to predict future outcomes increases exponentially. Thus supercomputers can model the flow of fluids and gasses in mechanical systems, and rivers, and oceans, and in the atmosphere, and galaxies. You still can’t predict the movement of each individual particle within the system, they’re still too strongly influenced by uncertainty, but you can quite accurately predict the behavior of the system as a whole. Complex systems are predictable, even if their individual constituents aren’t. You can’t predict at the outset which particle will end up at a certain position, but you can be quite certain that one of them will.
If we apply this to your milk man analogy. You may very well be able to predict the appearance of the milk bottles on the porch in the morning, but could you predict the exact minute at which those milk bottles would appear? The exact second? What about the milk man himself? Could you predict who it would be? What about days when he’s sick, or on vacation, or must attend the funeral of a relative? The appearance of the milk bottles is more predictable, than is the minutiae about how the bottles get there. So in the big picture many things look completely predictable, but down on the scale of the individual there may be room for free will.
But how would one reconcile God’s omniscience, His ability to know the future, with our free will. It may be much the same as our computer model. God knows what will happen. He can foresee wars, and famines, and untold details about the unfolding of history. He may know that certain events will occur in your life, for they are inevitable. Like a drop of water caught in the gulf stream, its path across the ocean may be determined, but there is none-the-less a degree of uncertainty inherent within the drop’s path. For the drop of water its choices may be random. But for individuals the path as a whole may be set, but the individual may still have the free will to choose how to respond within that path, and thus alter to some small degree, the path itself. You may not be able to escape the path entirely, but you may be able to have some small influence upon it, and small influences can have seemingly significant effects. Not significant as far as the system as a whole is concerned for it proceeds unaffected, but for the individual, the effects can be life altering. The future may be fixed. The outcome set. But the details may yet to be determined. The final strokes of the artist’s brush may yet to be applied.
Again I reiterate, complete and total conjecture on my part. Idiocy is not out of the question, and I feel free to change my mind at any time. (And often do) I likewise afford you the same freedom.