What is the logical form of probability assignment in quantum mechanics?
Philosophy of Science 58 (1):36-60 (1991)
| Abstract | The nature of quantum mechanical probability has often seemed mysterious. To shed some light on this topic, the present paper analyzes the logical form of probability assignment in quantum mechanics. To begin the paper, I set out and criticize several attempts to analyze the form. I go on to propose a new form which utilizes a novel, probabilistic conditional and argue that this proposal is, overall, the best rendering of the quantum mechanical probability assignments. Finally, quantum mechanics aside, the discussion here has consequences for counterfactual logic, conditional probability, and epistemic probability | |||||||||
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Leon Cohen (1966). Can Quantum Mechanics Be Formulated as a Classical Probability Theory? Philosophy of Science 33 (4):317-322.
Peter Milne (1993). The Foundations of Probability and Quantum Mechanics. Journal of Philosophical Logic 22 (2):129 - 168.
Meir Hemmo & Itamar Pitowsky (2003). Probability and Nonlocality in Many Minds Interpretations of Quantum Mechanics. British Journal for the Philosophy of Science 54 (2):225-243.
Itamar Pitowsky (2003). Probability and Nonlocality in Many Minds Interpretations of Quantum Mechanics. British Journal for the Philosophy of Science 54 (2):225 - 243.
Peter J. Lewis (2010). Probability in Everettian Quantum Mechanics. Manuscrito 33:285--306.
Guillaume Adenier (ed.) (2007). Quantum Theory, Reconsideration of Foundations 4: Växjö (Sweden), 11-16 June, 2007. American Institute of Physics.
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Meir Hemmo (2007). Quantum Probability and Many Worlds. Studies in History and Philosophy of Science Part B 38 (2):333-350.
M. Strauss (1939). Formal Problems of Probability Theory in the Light of Quantum Mechanics III. Synthese 4 (12):65 - 72.
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