Nonrational Belief Paradoxes as Byzantine Failures

Logos and Episteme 13 (4):343-358 (2022)
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Abstract

David Christensen and others argue that Dutch Strategies are more like peer disagreements than Dutch Books, and should not count against agents‘ conformity to ideal rationality. I review these arguments, then show that Dutch Books, Dutch Strategies, and peer disagreements are only possible in the case of what computer scientists call Byzantine Failures—uncorrected Byzantine Faults which update arbitrary values. Yet such Byzantine Failures make agents equally vulnerable to all three kinds of epistemic inconsistencies, so there is no principled basis for claiming that only avoidance of true Dutch Books characterizes ideally rational agents. Agents without Byzantine Failures can be ideally rational in a very strong sense, but are not normative for humans.

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Ryan Miller
Université de Genève

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References found in this work

Epistemology of disagreement: The good news.David Christensen - 2007 - Philosophical Review 116 (2):187-217.
Truth and probability.Frank Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.
Accuracy, Risk, and the Principle of Indifference.Richard Pettigrew - 2016 - Philosophy and Phenomenological Research 92 (1):35-59.
Belief and the Will.Bas C. van Fraassen - 1984 - Journal of Philosophy 81 (5):235-256.

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