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Von Neumann's concept of quantum logic and quantum probability

Rédei, Miklós (2001) Von Neumann's concept of quantum logic and quantum probability. In: Rédei, Miklós and Stöltzner, Michael, (eds.) John Von Neumann and the Foundations of Quantum Physics. Vienna Circle Institute yearbook (8). Springer, pp. 153-172. ISBN 9780792368120

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Identification Number: 10.1007/978-94-017-2012-0_10

Abstract

The idea of quantum logic first appears explicitly in the short Section 5 of Chapter III. in von Neumann’s 1932 book on the mathematical foundations of quantum mechanics [31]; however, the real birthplace of quantum logic is commonly identified with the 1936 seminal paper co-authored by G. Birkhoff and J. von Neumann [5]. The aim of this review is to recall the main idea of the Birkhoff-von Neumann concept1 of quantum logic as this was put forward in the 1936 paper. The review is motivated partly by two facts related to quantum logic: one, peculiar, is that the 1936 von Neumann concept is an almost totally neglected2 topic in the enormous quantum logic literature [17]; the other, not very well-known, is that von Neumann was never completely satisfied with how he had worked out quantum logic.

Item Type: Book Section
Official URL: http://www.springer.com/
Additional Information: © 2001 Springer Science+Business Media Dordrecht
Divisions: Philosophy, Logic and Scientific Method
Subjects: Q Science > QC Physics
Sets: Departments > Philosophy, Logic and Scientific Method
Date Deposited: 19 Apr 2013 10:25
Last Modified: 30 Dec 2019 00:41
URI: http://eprints.lse.ac.uk/id/eprint/49756

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