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In a old paper by G. Lochak, it is claimed that the Bell definition of ahidden variable is in conflict with the formalism of quantum mechanics. Thisresult implies that it is not necessary to invoke non locality to explain theviolation of the Bell inequality. A careful analysis of the concept ofprobability for hidden variables, as defined differently by Bell and Lochak,show that the reasoning and main conclusions of are not correct.

Concerning an old (but still quite alive) rebuttal of the theorem of John Bell