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Two Forms of Inconsistency in Quantum Foundations

Steeger, Jeremy and Teh, Nicholas (2017) 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
Creators:
CreatorsEmailORCID
Steeger, Jeremyjsteeger@nd.edu0000-0003-2771-4145
Teh, Nicholasnteh@nd.edu
Keywords: contextuality, Dutch Books, quantum probability, hidden variable models
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Jeremy Steeger
Date Deposited: 05 Dec 2017 18:21
Last Modified: 05 Dec 2017 18:21
Item ID: 14176
Subjects: Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 5 December 2017
URI: http://philsci-archive.pitt.edu/id/eprint/14176

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