
Simon Saunders (ed.)
et al.
Published online:
01 September 2010
Published in print:
24 June 2010
Online ISBN:
9780191721380
Print ISBN:
9780199560561
Contents
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1 INTRODUCTION 1 INTRODUCTION
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2 PREAMBLE: THE DECISION‐THEORETIC APPROACH 2 PREAMBLE: THE DECISION‐THEORETIC APPROACH
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3 EVERETTIAN RATIONALITY 3 EVERETTIAN RATIONALITY
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4 THE QUANTUM DECISION PROBLEM 4 THE QUANTUM DECISION PROBLEM
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5 THE DICTATES OF RATIONALITY 5 THE DICTATES OF RATIONALITY
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6 A QUANTUM REPRESENTATION THEOREM 6 A QUANTUM REPRESENTATION THEOREM
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7 FORMAL STATEMENT OF THE AXIOMS 7 FORMAL STATEMENT OF THE AXIOMS
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8 FORMAL STATEMENT AND PROOF OF THE REPRESENTATION THEOREM 8 FORMAL STATEMENT AND PROOF OF THE REPRESENTATION THEOREM
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9 OTHER PROPOSED STRATEGIES FOR ACTION 9 OTHER PROPOSED STRATEGIES FOR ACTION
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Branch Counting Branch Counting
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The Fatness Rule The Fatness Rule
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The Fake‐State Rule The Fake‐State Rule
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The Distributive‐Justice Rule The Distributive‐Justice Rule
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The Variety Rule The Variety Rule
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The Anything‐goes Rule The Anything‐goes Rule
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The Curl‐up‐and‐die Rule The Curl‐up‐and‐die Rule
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Contextual Rules Contextual Rules
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10 CONCLUSION 10 CONCLUSION
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Acknowledgements Acknowledgements
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References References
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Cite
Wallace, David, 'How to Prove the Born Rule', in Simon Saunders, and others (eds), Many Worlds? Everett, Quantum Theory, and Reality (Oxford , 2010; online edn, Oxford Academic, 1 Sept. 2010), https://doi.org/10.1093/acprof:oso/9780199560561.003.0010, accessed 3 May 2025.
Abstract
This chapter develops 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. It sketches the argument informally, then proves it formally, and lastly considers a number of proposed ‘counter-examples’ to show exactly which premises of the argument they violate.
Keywords:
probability, Born rule, decision theory, contexuality, diachronic consistency, branch counting, fatness rule
Collection:
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