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One World Is (Probably) Just as Good as Many

Steeger, Jeremy (2021) One World Is (Probably) Just as Good as Many. [Preprint]

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Abstract

One of our most sophisticated accounts of objective chance in quantum mechanics involves the Deutsch-Wallace theorem, which uses state-space symmetries to justify agents’ use of the Born rule when the quantum state is known. But Wallace (2003, 2012) argues that this theorem requires an Everettian approach to measurement. I find that this argument is unsound, and I demonstrate a counter-example by applying the Deutsch-Wallace theorem to a Bohm-style pilot-wave theory.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Steeger, Jeremyjsteeger@uw.edu0000-0003-2771-4145
Additional Information: Final version submitted to Synthese.
Keywords: quantum probability, principal principle, Deutsch-Wallace theorem, Bohmian mechanics, Everettian quantum mechanics, decoherence
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Jeremy Steeger
Date Deposited: 25 May 2021 01:36
Last Modified: 25 May 2021 01:36
Item ID: 19098
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 24 May 2021
URI: http://philsci-archive.pitt.edu/id/eprint/19098

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