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Dutch book and accuracy theorems

Mahtani, Anna (2020) Dutch book and accuracy theorems. Proceedings of the Aristotelian Society. ISSN 0066-7374 (In Press)

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Abstract

Dutch book and accuracy arguments are used to justify certain rationality constraints on credence functions. Underlying these dutch book and accuracy arguments are associated theorems, and I show that the interpretation of these theorems can vary along a range of dimensions. Given that the theorems can be interpreted in a variety of different ways, what is the status of the associated arguments? I consider three possibilities: we could aggregate the results of the differently interpreted theorems in some way and motivate rationality constraints based on this aggregation; we could be permissive and accept the conclusions of the dutch book and accuracy arguments under all interpretations of the associated theorems; or we could select one uniquely correct interpretation of the dutch book/accuracy theorem and use that to justify certain rationality constraints. I show that each possibility faces problems, and conclude that dutch book and accuracy theorems cannot be used to justify any principle of rationality.

Item Type: Article
Official URL: https://academic.oup.com/aristotelian
Additional Information: © 2020 The Aristotelian Society
Divisions: Philosophy, Logic and Scientific Method
Subjects: B Philosophy. Psychology. Religion > B Philosophy (General)
Date Deposited: 16 Jun 2020 14:18
Last Modified: 17 Sep 2020 18:06
URI: http://eprints.lse.ac.uk/id/eprint/105094

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