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  1. On the Stone: von Neumann Uniqueness Theorem and Its Ramifications.Stephen Summers - 2001 - Vienna Circle Institute Yearbook 8:135-152.
    In the mid to late 1920s, the emerging theory of quantum mechanics had two main competing formalisms — the wave mechanics of E. Schrödinger [61] and the matrix mechanics of W. Heisenberg, M. Born and P. Jordan [27][2][3].1 Though a connection between the two was quickly pointed out by Schrödinger himself — see paper III in [61] — among others, the folk-theoretic “equivalence” between wave and matrix mechanics continued to generate more detailed study, even into our times.
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  • Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory.Rob Clifton & Hans Halvorson - 2001 - British Journal for the Philosophy of Science 52 (3):417-470.
    Philosophical reflection on quantum field theory has tended to focus on how it revises our conception of what a particle is. However, there has been relatively little discussion of the threat to the "reality" of particles posed by the possibility of inequivalent quantizations of a classical field theory, i.e., inequivalent representations of the algebra of observables of the field in terms of operators on a Hilbert space. The threat is that each representation embodies its own distinctive conception of what a (...)
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  • 'Unsolved Problems of Mathematics' J von Neumann's address to the International Congress of Mathematicians, Amsterdam, September 2-9, 1954.Miklos Redei - 1999 - The Mathematical Intelligencer 21:7-12.
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  • Why John von Neumann did not Like the Hilbert Space formalism of quantum mechanics (and what he liked instead).Miklos Rédei - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (4):493-510.
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