Of course, the Universe as a whole is deterministic since it obeys Schreodinger equation. However, the only thing we have access to is observation, and the observation is probabilistic. You can not predict with the deterministic Turing machine, what is the outcome of the observation, only the probabilities for this outcome.
Well, the laws of nature of course what they are. However, you can interpret it in different ways. You can say that there is fundamental probability, wavefunction, and all this stuff, as the most scientist do when they perform calculations. Or you can start introducing hidden non-local variables, that does not improve your predictions but just make theory more complicated. There was an April, 1st paper introducing particles as sentient beings communicating with each other superluminously to deceive experimentalists. It is your choice which representation you prefer, but I thought you wanted the simplest one.
Of course, the Universe as a whole is deterministic since it obeys Schreodinger equation. However, the only thing we have access to is observation, and the observation is probabilistic. You can not predict with the deterministic Turing machine, what is the outcome of the observation, only the probabilities for this outcome.
Well, the laws of nature of course what they are. However, you can interpret it in different ways. You can say that there is fundamental probability, wavefunction, and all this stuff, as the most scientist do when they perform calculations. Or you can start introducing hidden non-local variables, that does not improve your predictions but just make theory more complicated. There was an April, 1st paper introducing particles as sentient beings communicating with each other superluminously to deceive experimentalists. It is your choice which representation you prefer, but I thought you wanted the simplest one.