David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studies in History and Philosophy of Science Part B 34 (3):395-414 (2003)
We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance, the agent is betting in advance on the outcomes of several (finitely many) incompatible measurements. One of the measurements is subsequently chosen and performed and the money placed on the other measurements is returned to the agent. We show how the rules of rational betting imply all the interesting features of quantum probability, even in such finite gambles. These include the uncertainty principle and the violation of Bell's inequality among others. Quantum gambles are closely related to quantum logic and provide a new semantics for it. We conclude with a philosophical discussion on the interpretation of quantum mechanics.
|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
F. P. Ramsey (2010). Truth and Probability. In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. Routledge 52-94.
J. S. Bell (2004 ). On the Einstein-Podolsky-Rosen Paradox. In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press 14--21.
Simon Kochen & E. P. Specker (1967). The Problem of Hidden Variables in Quantum Mechanics. Journal of Mathematics and Mechanics 17:59--87.
Albert Einstein, Boris Podolsky & Nathan Rosen (1935). Can Quantum-Mechanical Description of Physical Reality Be Considered Complete? Physical Review (47):777-780.
Garrett Birkhoff & John von Neumann (1937). The Logic of Quantum Mechanics. Journal of Symbolic Logic 2 (1):44-45.
Citations of this work BETA
Meir Hemmo (2007). Quantum Probability and Many Worlds. Studies in History and Philosophy of Science Part B 38 (2):333-350.
Carlton M. Caves, Christopher A. Fuchs & Rüdiger Schack (2007). Subjective Probability and Quantum Certainty. Studies in History and Philosophy of Science Part B 38 (2):255-274.
Simon Friederich (2011). How to Spell Out the Epistemic Conception of Quantum States. Studies in History and Philosophy of Science Part B 42 (3):149-157.
Jeffrey Bub (2007). Quantum Probabilities as Degrees of Belief. Studies in History and Philosophy of Science Part B 38 (2):232-254.
Simon Friederich (2013). In Defence of Non-Ontic Accounts of Quantum States. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (2):77-92.
Similar books and articles
Darrell P. Rowbottom (2007). The Insufficiency of the Dutch Book Argument. Studia Logica 87 (1):65 - 71.
Henry P. Stapp (1999). Comment on “Nonlocality, Counterfactuals, and Quantum Mechanics'. Physical Review A 60:2595--2598.
Mauricio Suárez (2004). Quantum Selections, Propensities and the Problem of Measurement. British Journal for the Philosophy of Science 55 (2):219 - 255.
Guillaume Adenier (ed.) (2007). Quantum Theory, Reconsideration of Foundations 4: Växjö (Sweden), 11-16 June, 2007. American Institute of Physics.
Pieter E. Vermaas (1999). A Philosopher's Understanding of Quantum Mechanics: Possibilities and Impossibilities of a Modal Interpretation. Cambridge University Press.
Alisa Bokulich (2003). Quantum Measurements and Supertasks. International Studies in the Philosophy of Science 17 (2):127 – 136.
Peter J. Lewis (2010). Probability in Everettian Quantum Mechanics. Manuscrito 33 (1):285--306.
Added to index2009-01-28
Total downloads60 ( #56,899 of 1,726,211 )
Recent downloads (6 months)18 ( #43,617 of 1,726,211 )
How can I increase my downloads?