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XIII - dutch book and accuracy theorems

Mahtani, Anna ORCID: 0000-0003-1581-4325 (2020) XIII - dutch book and accuracy theorems. Proceedings of the Aristotelian Society. ISSN 0066-7374

[img] Text (Dutch book and accuracy theorems) - Accepted Version
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Identification Number: 10.1093/arisoc/aoaa012


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 or 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
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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: 20 Jun 2024 22:57

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