I wonder if it is possible for causality to be held, but not determinism. Does any real-world example exist? If yes, please explain how does that satisfy causality and not determinism. (for example, is the act of measurement on quantum systems an answer?)
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Yes, quantum measurement is random (with no local hidden variables), but does not violate causality. A photon cannot be detected, unless it was emitted and given enough time to propagate, however the point where it is detected cannot be predicted.
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