David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 35 (2):101-111 (1968)
The aim of this paper is to present and discuss a probabilistic framework that is adequate for the formulation of quantum theory and faithful to its applications. Contrary to claims, which are examined and rebutted, that quantum theory employs a nonclassical probability theory based on a nonclassical "logic," the probabilistic framework set out here is entirely classical and the "logic" used is Boolean. The framework consists of a set of states and a set of quantities that are interrelated in a specified manner. Each state induces a classical probability space on the values of each quantity. The quantities, so considered, become statistical variables (not random variables). Such variables need not have a "joint distribution." For the quantum theoretic application, there is a uniform procedure that defines and determines the existence of such "joint distributions" for statistical variables. A general rule is provided and it is shown to lead to the usual compatibility-commutivity requirements of quantum theory. The paper concludes with a brief discussion of interference and the misunderstandings that are involved in the false move from interference to nonclassical probability
|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
Soazig Le Bihan (2009). Fine's Ways to Fail to Secure Local Realism. Studies in the History and Philosophy of Modern Physics 40 (2):142-150.
Arthur Fine (1974). On the Completeness of Quantum Theory. Synthese 29 (1-4):257 - 289.
Similar books and articles
Patrick Suppes & Stephan Hartmann (2010). Entanglement, Upper Probabilities and Decoherence in Quantum Mechanics. In M. Suaráz et al (ed.), EPSA Philosophical Issues in the Sciences: Launch of the European Philosophy of Science Association. Springer. 93--103.
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.
L. Hardy (2003). Probability Theories in General and Quantum Theory in Particular. Studies in History and Philosophy of Science Part B 34 (3):381-393.
Peter Milne (1993). The Foundations of Probability and Quantum Mechanics. Journal of Philosophical Logic 22 (2):129 - 168.
John C. Bigelow (1979). Quantum Probability in Logical Space. Philosophy of Science 46 (2):223-243.
Leon Cohen (1966). Can Quantum Mechanics Be Formulated as a Classical Probability Theory? Philosophy of Science 33 (4):317-322.
Florentin Smarandache, An Introduction to the Neutrosophic Probability Applied to Quantum Physics: Revisited.
E. G. Beltrametti & S. Bugajski (2002). Quantum Mechanics and Operational Probability Theory. Foundations of Science 7 (1-2):197-212.
Added to index2009-01-28
Total downloads47 ( #49,200 of 1,696,233 )
Recent downloads (6 months)19 ( #24,947 of 1,696,233 )
How can I increase my downloads?