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  1. On Noncontextual, Non-Kolmogorovian Hidden Variable Theories.Benjamin H. Feintzeig & Samuel C. Fletcher - 2017 - Foundations of Physics 47 (2):294-315.
    One implication of Bell’s theorem is that there cannot in general be hidden variable models for quantum mechanics that both are noncontextual and retain the structure of a classical probability space. Thus, some hidden variable programs aim to retain noncontextuality at the cost of using a generalization of the Kolmogorov probability axioms. We generalize a theorem of Feintzeig to show that such programs are committed to the existence of a finite null cover for some quantum mechanical experiments, i.e., a finite (...)
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  • Indistinguishability and the origins of contextuality in physics.José Acacio De Barros, Federico Holik & Décio Krause - 2019 - Philosophical Transactions of the Royal Society A 377 (2157): 20190150.
    In this work, we discuss a formal way of dealing with the properties of contextual systems. Our approach is to assume that properties describing the same physical quantity, but belonging to different measurement contexts, are indistinguishable in a strong sense. To construct the formal theoretical structure, we develop a description using quasi-set theory, which is a set-theoretical framework built to describe collections of elements that violate Leibnitz's principle of identity of indiscernibles. This framework allows us to consider a new ontology (...)
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