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 the de Broglie-Bohm pilot-wave theory.

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Item Type:	Preprint
Creators:	Creators Email ORCID Steeger, Jeremy jsteeger@uw.edu 0000-0003-2771-4145
Additional Information:	Final version sent 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:	Jer Steeger
Date Deposited:	10 Nov 2021 05:03
Last Modified:	10 Nov 2021 05:03
Item ID:	19829
Subjects:	Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics
Date:	24 May 2021
URI:	https://philsci-archive.pitt.edu/id/eprint/19829

Available Versions of this Item

• One World Is (Probably) Just as Good as Many. (deposited 25 May 2021 01:36)
  • One world is (probably) just as good as many. (deposited 03 Oct 2021 03:34)
    • One world is (probably) just as good as many. (deposited 10 Nov 2021 05:03) [Currently Displayed]
      • One world is (probably) just as good as many. (deposited 01 Apr 2022 04:15)

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