John von Neumann's 'Impossibility Proof' in a Historical Perspective

Physis 32:109-124 (1995)
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Abstract

John von Neumann's proof that quantum mechanics is logically incompatible with hidden varibales has been the object of extensive study both by physicists and by historians. The latter have concentrated mainly on the way the proof was interpreted, accepted and rejected between 1932, when it was published, and 1966, when J.S. Bell published the first explicit identification of the mistake it involved. What is proposed in this paper is an investigation into the origins of the proof rather than the aftermath. In the first section, a brief overview of the his personal life and his proof is given to set the scene. There follows a discussion on the merits of using here the historical method employed elsewhere by Andrew Warwick. It will be argued that a study of the origins of von Neumann's proof shows how there is an interaction between the following factors: the broad issues within a specific culture, the learning process of the theoretical physicist concerned, and the conceptual techniques available. In our case, the ‘conceptual technology’ employed by von Neumann is identified as the method of axiomatisation.

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Louis Caruana
Pontificia Universita Gregoriana

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Wittgenstein: a social theory of knowledge.David Bloor - 1983 - New York: Columbia University Press.
David Hilbert and his Mathematical Work.Hermann Weyl - 1944 - Bulletin of the American Mathematical Society 50 (9):612--654.

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