Homer Nodded: Von Neumann’s Surprising Oversight

@article{Mermin2018HomerNV,
  title={Homer Nodded: Von Neumann’s Surprising Oversight},
  author={N. D. Mermin and Rudiger Schack},
  journal={Foundations of Physics},
  year={2018},
  volume={48},
  pages={1007-1020}
}
  • N. D. Mermin, Rudiger Schack
  • Published 2018
  • Philosophy, Physics, Mathematics
  • Foundations of Physics
  • We review the famous no-hidden-variables theorem in von Neumann’s 1932 book on the mathematical foundations of quantum mechanics (Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932). We describe the notorious gap in von Neumann’s argument, pointed out by Hermann (Abhandlungen der Fries’schen Schule 6:75–152, 1935) and, more famously, by Bell (Rev Modern Phys 38:447–452, 1966). We disagree with recent papers claiming that Hermann and Bell failed to understand what von Neumann… CONTINUE READING
    8 Citations
    Von Neumann's No Hidden Variable Theorem
    The GHSZ Argument: A Gedankenexperiment Requiring More Denken
    • F. Lad
    • Computer Science
    • Entropy
    • 2020
    Ideas Abandoned en Route to QBism
    • 3
    • PDF
    From Gender to Gleason : The Case of Adam Becker ’ s What Is Real ?
    • 2
    • PDF
    Understanding quantum mechanics: a review and synthesis in precise language
    Is the SIC Outcome There When Nobody Looks
    • 7
    • PDF
    Misreading EPR: Variations on an Incorrect Theme
    • 6
    • PDF
    Oversights in the Respective Theorems of von Neumann and Bell are Homologous
    • 1
    • PDF

    References

    SHOWING 1-10 OF 11 REFERENCES
    Deep Beauty: Is Von Neumann's “No Hidden Variables” Proof Silly?
    • 6
    On the Einstein-Podolsky-Rosen paradox
    • 5,432
    On the Problem of Hidden Variables in Quantum Mechanics
    • 2,360
    • Highly Influential
    • PDF
    Simultaneous measurability in quantum theory
    • 98
    Hidden variables and the two theorems of John Bell
    • 730
    • PDF
    Die naturphilosophischen Grundlagen der Quantenmechanik
    • 65
    Mathematische grundlagen der Quantenmechanik
    • 2,303