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The Relation between Credence and Chance: Lewis' "Principal Principle" Is a Theorem of Quantum Probability Theory

Earman, John (2018) The Relation between Credence and Chance: Lewis' "Principal Principle" Is a Theorem of Quantum Probability Theory. [Preprint]

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Abstract

David Lewis' "Principal Principle" is a purported principle of rationality connecting credence and objective chance. Almost all of the discussion of the Principal Principle in the philosophical literature assumes classical probability theory, which is unfortunate since the theory of modern physics that, arguably, speaks most clearly of objective chance is the quantum theory, and quantum probabilities are not classical probabilities. Given the generally accepted updating rule for quantum probabilities, there is a straight forward sense in which the Principal Principle is a theorem of quantum probability theory for any credence function satisfying a suitable additivity requirement. No additional principle of rationality is needed to bring credence into line with objective chance.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Earman, John
Keywords: Credence and chance; quantum probability; Lewis' Principal Principle
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: John Earman
Date Deposited: 27 Jun 2018 21:19
Last Modified: 27 Jun 2018 21:19
Item ID: 14822
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 26 June 2018
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/14822

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