Studia Logica 101 (2):411-452 (2013)

We use a simple relational framework to develop the key notions and results on hidden variables and non-locality. The extensive literature on these topics in the foundations of quantum mechanics is couched in terms of probabilistic models, and properties such as locality and no-signalling are formulated probabilistically. We show that to a remarkable extent, the main structure of the theory, through the major No-Go theorems and beyond, survives intact under the replacement of probability distributions by mere relations
Keywords Quantum mechanics  Non-locality  Hidden variables  Possibilistic models  Probabilistic models
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DOI 10.1007/s11225-013-9477-4
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The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
Quantum Nonlocality as an Axiom.Sandu Popescu & Daniel Rohrlich - 1994 - Foundations of Physics 24 (3):379-385.

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