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 accuracydominance 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 accuracydominance if and only if they are given by a state on that algebra. When your estimates avoid accuracydominance (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  

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Keywords:  rational coherence; accuracydominance; 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://philsciarchive.pitt.edu/id/eprint/15014 
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