David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 33 (1/2):14-21 (1966)
The aim of this paper is to state the single most powerful argument for use of a non-classical logic in quantum mechanics. In outline the argument is the following. The working logic of a science is the logic of the events and propositions to which probabilities are assigned. A probability should be assigned to every element of the algebra of events. In the case of quantum mechanics probabilities may be assigned to events but not, without restriction, to the conjunction of two events. The conclusion is that the working logic of quantum mechanics is not classical. The nature of the logic that is appropriate for quantum mechanics is examined
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Mioara Mugur-Schächter (1991). Spacetime Quantum Probabilities, Relativized Descriptions, and Popperian Propensities. Part I: Spacetime Quantum Probabilities. [REVIEW] Foundations of Physics 21 (12):1387-1449.
Terrence L. Fine (1974). Towards a Revised Probabilistic Basis for Quantum Mechanics. Synthese 29 (1-4):187 - 201.
J. M. Jauch (1974). The Quantum Probability Calculus. Synthese 29 (1-4):131 - 154.
Donald Richard Nilson (1977). Hans Reichenbach on the Logic of Quantum Mechanics. Synthese 34 (3):313 - 360.
M. L. Dalla Chiara & R. Giuntini (1994). Partial and Unsharp Quantum Logics. Foundations of Physics 24 (8):1161-1177.
Similar books and articles
David Wallace, Implications of Quantum Theory in the Foundations of Statistical Mechanics [2001 Online-Only].
John T. Bruer (1982). The Classical Limit of Quantum Theory. Synthese 50 (2):167 - 212.
James H. McGrath (1978). Only If Quanta Had Logic. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1978:268 - 275.
Michael Dickson (1996). Logical Foundations for Modal Interpretations of Quantum Mechanics. Philosophy of Science 63 (3):329.
John F. Halpin (1991). What is the Logical Form of Probability Assignment in Quantum Mechanics? Philosophy of Science 58 (1):36-60.
Meir Hemmo (2007). Quantum Probability and Many Worlds. Studies in History and Philosophy of Science Part B 38 (2):333-350.
Allen Stairs (1983). Quantum Logic, Realism, and Value Definiteness. Philosophy of Science 50 (4):578-602.
Michele Caponigro, Stefano Mancini & Vladimir I. Man'ko, A Probabilistic Approach to Quantum Mechanics Based on Tomograms.
Peter Gibbins (1987). Particles and Paradoxes: The Limits of Quantum Logic. Cambridge University Press.
Added to index2009-01-28
Total downloads16 ( #107,068 of 1,099,918 )
Recent downloads (6 months)8 ( #33,415 of 1,099,918 )
How can I increase my downloads?