Steeger, Jer and Teh, Nicholas (2018) Two Forms of Inconsistency in Quantum Foundations. [Preprint]
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Abstract
Recently, there has been some discussion of how Dutch Book arguments might be used to demonstrate the rational incoherence of certain hidden variable models of quantum theory (Feintzeig and Fletcher 2017). In this paper, we argue that the 'form of inconsistency' underlying this alleged irrationality is deeply and comprehensively related to the more familiar 'inconsistency' phenomenon of contextuality. Our main result is that the hierarchy of contextuality due to Abramsky and Brandenburger (2011) corresponds to a hierarchy of additivity/convexity-violations which yields formal Dutch Books of different strengths. We then use this result to provide a partial assessment of whether these formal Dutch Books can be interpreted normatively.
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| Item Type: | Preprint | |||||||||
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| Additional Information: | Forthcoming in BJPS. | |||||||||
| Keywords: | quantum contextuality, no-go arguments against hidden variable theories, Dutch Book arguments, Kochen-Specker, rational coherence, weak probability spaces | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics |
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| Depositing User: | Jer Steeger | |||||||||
| Date Deposited: | 13 Sep 2018 17:55 | |||||||||
| Last Modified: | 17 Sep 2022 00:56 | |||||||||
| Item ID: | 15018 | |||||||||
| Subjects: | Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics |
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| Date: | 10 September 2018 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/15018 |
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Two Forms of Inconsistency in Quantum Foundations. (deposited 05 Dec 2017 18:21)
- Two Forms of Inconsistency in Quantum Foundations. (deposited 13 Sep 2018 17:55) [Currently Displayed]
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