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  1. A Note on Bell’s Theorem Logical Consistency.Justo Pastor Lambare & Rodney Franco - 2021 - Foundations of Physics 51 (4):1-17.
    Counterfactual definiteness is supposed to underlie the Bell theorem. An old controversy exists among those who reject the theorem implications by rejecting counterfactual definiteness and those who claim that, since it is a direct consequence of locality, it cannot be independently rejected. We propose a different approach for solving this contentious issue by realizing that counterfactual definiteness is an unnecessary and inconsistent assumption. Counterfactual definiteness is not equivalent to realism or determinism neither it follows from locality. It merely reduces to (...)
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  • Oversights in the Respective Theorems of von Neumann and Bell are Homologous.Joy Christian - manuscript
    We show that the respective oversights in the von Neumann's general theorem against all hidden variable theories and Bell's theorem against their local-realistic counterparts are homologous. When latter oversight is rectified, the bounds on the CHSH correlator work out to be ±2√2 instead of ±2.
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  • Bell's Theorem Begs the Question.Joy Christian - manuscript
    I demonstrate that Bell's theorem is based on circular reasoning and thus a fundamentally flawed argument. It unjustifiably assumes the additivity of expectation values for dispersion-free states of contextual hidden variable theories for non-commuting observables involved in Bell-test experiments, which is tautologous to assuming the bounds of ±2 on the Bell-CHSH sum of expectation values. Its premises thus assume in a different guise the bounds of ±2 it sets out to prove. Once this oversight is ameliorated from Bell's argument by (...)
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  • Hilbert-style axiomatic completion: On von Neumann and hidden variables in quantum mechanics.Chris Mitsch - 2022 - Studies in History and Philosophy of Science Part A 95 (C):84-95.
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  • von Neumann’s Theorem Revisited.Pablo Acuña - 2021 - Foundations of Physics 51 (3):1-29.
    According to a popular narrative, in 1932 von Neumann introduced a theorem that intended to be a proof of the impossibility of hidden variables in quantum mechanics. However, the narrative goes, Bell later spotted a flaw that allegedly shows its irrelevance. Bell’s widely accepted criticism has been challenged by Bub and Dieks: they claim that the proof shows that viable hidden variables theories cannot be theories in Hilbert space. Bub’s and Dieks’ reassessment has been in turn challenged by Mermin and (...)
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  • Must hidden variables theories be contextual? Kochen & Specker meet von Neumann and Gleason.Pablo Acuña - 2021 - European Journal for Philosophy of Science 11 (2):1-30.
    It is a widespread belief that the Kochen-Specker theorem imposes a contextuality constraint on the ontology of beables in quantum hidden variables theories. On the other hand, after Bell’s influential critique, the importance of von Neumann’s wrongly called ‘impossibility proof’ has been severely questioned. However, Max Jammer, Jeffrey Bub and Dennis Dieks have proposed insightful reassessments of von Neumann’s theorem: what it really shows is that hidden variables theories cannot represent their beables by means of Hermitian operators in Hilbert space. (...)
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