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I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics.
The foundations of statistics
Savage, L. J. (1972) · 1972
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Radical interpretation
Davidson, D. (1973) · 1973
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The many-worlds interpretation of quantum mechanics
DeWitt, B. and N. Graham (Eds.) (1973) · 1973
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Radical interpretation
Lewis, D. (1974) · 1983
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Elbow Room: the Varieties of Free Will Worth Wanting
Dennett, D. C. (1984) · 1984
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A subjectivist’s guide to objective chance
Lewis, D. (1980) · 1986
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The intentional stance
Dennett, D. C. (1987) · 1987
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Decoherence, chaos and the second law
Zurek, W. H. and J. P. Paz (1994) · 1994
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Time, Quantum Mechanics, and Probability
Saunders, S. (1998) · 1998
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Quantum theory of probability and decisions
Deutsch, D. (1999) · 1999
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Quantum Probability from Decision Theory?
Barnum, H., C. M. Caves, J. Finkelstein, C. A. Fuchs, and R. Schack (2000) · 2000
Cited alongside, same era.
Implications of Quantum Theory in the Foundations of Statistical Mechanics
Wallace, D. (2001) · 2001
Cited alongside, same era.
Everettian rationality: defending Deutsch’s approach to probability in the Everett interpretation
Wallace, D. (2003) · 2003
Cited alongside, same era.
Gleason-type derivations of the quantum probability rule for generalized measurements
Caves, C. M., C. A. Fuchs, K. Manne, and J. M. Renes (2004) · 2004
Cited alongside, same era.
Probability in Everettian quantum mechanics
Lewis, P. J. (2005) · 2005
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Language use in a branching universe
Wallace, D. (2005) · 2005
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Epistemology quantized: circumstances in which we should come to believe in the Everett interpretation
Wallace, D. (2006) · 2006
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Quantum probability and many worlds
Hemmo, M. and I. Pitowsky (2007) · 2007
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Quantum probability from subjective likelihood: Improving on Deutsch’s proof of the probability rule
Wallace, D. (2007) · 2007
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Branching and uncertainty
Saunders, S. and D. Wallace (2008) · 2008
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Paradoxes of irrationality
Davidson, D. (2004) · 2004
Cited alongside, same era.
The Everett Interpretation
Wallace, D. (2010) · 2010
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