  Since the experimental observation of the violation of the Bell-CHSH
inequalities, much has been said about the non-local and contextual character
of the underlying system. But the hypothesis from which Bell's inequalities are
derived differ according to the probability space used to write them. The
violation of Bell's inequalities can, alternatively, be explained assuming that
the hidden variables do not exist at all, or that they exist but their values
cannot be simultaneously assigned, or that the values can be assigned but joint
probabilities cannot be properly defined, or that averages taken in different
contexts cannot be combined. All of the above are valid options, selected by
different communities to provide support to their particular research program.
