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The Emergent MultiverseQuantum Theory according to the Everett Interpretation$
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David Wallace

Print publication date: 2012

Print ISBN-13: 9780199546961

Published to Oxford Scholarship Online: September 2012

DOI: 10.1093/acprof:oso/9780199546961.001.0001

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The Probability Puzzle

The Probability Puzzle

Chapter:
(p.112) (p.113) 4 The Probability Puzzle
Source:
The Emergent Multiverse
Author(s):

David Wallace

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199546961.003.0006

This chapter begins my discussion of probability — generally held to be the most severe difficulty for the Everett interpretation. The chapter argues that since mathematically speaking probability has a natural place in the Everett interpretation, any ‘probability problem’ is philosophical in nature. Accordingly, the chapter's strategy is to review various different approaches to understanding probability — in particular, those based on long-run frequencies, on betting preferences, and on symmetries — and to argue that there are no problems with any of these approaches that are specific to Everettian quantum theory. The chapter concludes by arguing that, if probability is to be understood in terms of symmetry, it actually makes more sense in quantum than in classical physics. The chapter concludes with a sketch proof of the quantum probability rule on the basis of symmetry.

Keywords:   Everett interpretation, many worlds, probability in quantum theory

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