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Homer Nodded: Von Neumann’s Surprising Oversight
Foundations of Physics 48 (9):1007-1020 (2018)
Abstract
We review the famous no-hidden-variables theorem in von Neumann’s 1932 book on the mathematical foundations of quantum mechanics. We describe the notorious gap in von Neumann’s argument, pointed out by Hermann and, more famously, by Bell. We disagree with recent papers claiming that Hermann and Bell failed to understand what von Neumann was actually doing.Author's Profile
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Citations of this work
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.
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.
A Note on Bell’s Theorem Logical Consistency.Justo Pastor Lambare & Rodney Franco - 2021 - Foundations of Physics 51 (4):1-17.
References found in this work
On the Einstein Podolsky Rosen paradox.J. S. Bell - 2004 [1964] - In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press. pp. 14--21.
On the Problem of Hidden Variables in Quantum Mechanics.J. S. Bell - 2004 - In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press. pp. 1--13.
Hidden Variables and the Two Theorems of John Bell.N. David Mermin - 1993 - Reviews of Modern Physics 65:803--815.
Von Neumann’s impossibility proof: Mathematics in the service of rhetorics.Dennis Dieks - 2017 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 60:136-148.
Die naturphilosophischen Grundlagen der Quantenmechanik.Grete Hermann - 1940 - Journal of Unified Science (Erkenntnis) 8 (5):379-383.
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