Another question is how many phenomena can be accurately described by the model. Whatever the answers to these questions, abstractions of the real world are often necessary for scientific progress. Hobbs offers one formalism for determinism. If any two worlds with the same physical laws of the real world agree completely in one time slice, determinism requires agreement on any subsequent time slices. QM is field still in a state of development.
Different interpretations exist even for widely accepted formalisms.
Point ii above poses the question whether it is the math itself that is successful, and not any of the accompanying interpretations. QM described QM is indeterministic, well-tested, and enormously successful. If this spirit of pragmatism is taken to the extreme, any notion of indeterminism collapses into mere unpredictability. Our search for true metaphysics leaves the consequence of a above unacceptable. Indeterminacy is introduced by the act of measuring a quantum system.