"Thus the formal proof of von Neumann does not justify his informal conclusion: 'It is therefore not, as is often assumed, a question of reinterpretation of quantum mechanics - the present system of quantum mechanics would have to be objectively false in order that another description of the elementary process than the statistical one be possible.' It was not the objective measurable predictions of quantum mechanics which ruled out hidden variables. It was the arbitrary assumption of a particular (and impossible) relation between the results of incompatible measurements either of which might be made on a given occasion but only one of which can in fact be made."
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John Stewart Bell, "On the problem of hidden variables in quantum mechanics". Reviews of Modern Physics (1966)
https://en.wikiquote.org/wiki/Mathematical_Foundations_of_Quantum_Mechanics
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Mathematical Foundations of Quantum Mechanics
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