Abstract
We study the question of the existence of hidden variables within the formalism of Pitowsky. We show that probabilities admit factorizable hidden variable models iff they admit a Kolmogorovian representation. In particular, directly deduced experimental frequencies always admit a factorizable hidden variable model and thus a Kolmogorovian representation. We apply this result in the framework of Bell's inequalities. We show that a deterministic interpretation of the hidden variables associated with this situation refutes the possibility for the experimenter of choosing freely the conditions of experimentation.
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