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Probabilism for Stochastic Theories

Steeger, Jeremy (2018) Probabilism for Stochastic Theories. [Preprint]

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Abstract

I defend an analog of probabilism that characterizes rationally coherent estimates for chances. Specifically, I demonstrate the following accuracy-dominance result for stochastic theories in the C*-algebraic framework: supposing an assignment of chance values is possible if and only if it is given by a pure state on a given algebra, your estimates for chances avoid accuracy-dominance if and only if they are given by a state on that algebra. When your estimates avoid accuracy-dominance (roughly: when you cannot guarantee that other estimates would be more accurate), I say that they are sufficiently coherent. In formal epistemology and quantum foundations, the notion of rational coherence that gets more attention requires that you never allow for a sure loss (or 'Dutch book') in a given sort of betting game; I call this notion full coherence. I characterize when these two notions of rational coherence align, and I show that there is a quantum state giving estimates that are sufficiently coherent, but not fully coherent.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Steeger, Jeremyjsteeger@nd.edu0000-0003-2771-4145
Keywords: rational coherence; accuracy-dominance; Dutch books; quantum probability; C*-algebras; pure states
Subjects: Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Jeremy Steeger
Date Deposited: 10 Sep 2018 03:42
Last Modified: 10 Sep 2018 03:42
Item ID: 15014
Subjects: Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 8 September 2018
URI: http://philsci-archive.pitt.edu/id/eprint/15014

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