期刊
STUDIES IN HISTORY AND PHILOSOPHY OF MODERN PHYSICS
卷 66, 期 -, 页码 34-44出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.shpsb.2018.10.004
关键词
Rational coherence; Accuracy-dominance; Dutch books; Quantum probability; C*-algebras; Pure states
资金
- National Science Foundation [1734155]
- Divn Of Social and Economic Sciences
- Direct For Social, Behav & Economic Scie [1734155] Funding Source: National Science Foundation
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. (C) 2018 Published by Elsevier Ltd.
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