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

## 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 |
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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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