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Bertrand's paradox and the maximum entropy principle

Shackel, Nicholas and Rowbottom, Darrell P. 2020. Bertrand's paradox and the maximum entropy principle. Philosophy and Phenomenological Research 101 (3) , pp. 505-523. 10.1111/phpr.12596
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An important suggestion of objective Bayesians is that the maximum entropy principle can replace a principle which is known to get into paradoxical difficulties: the principle of indifference. No one has previously determined whether the maximum entropy principle is better able to solve Bertrand's chord paradox than the principle of indifference. In this paper I show that it is not. Additionally, the course of the analysis brings to light a new paradox, a revenge paradox of the chords, that is unique to the maximum entropy principle.

Item Type: Article
Date Type: Publication
Status: Published
Schools: English, Communication and Philosophy
Publisher: Wiley
ISSN: 0031-8205
Date of First Compliant Deposit: 1 April 2019
Date of Acceptance: 29 March 2019
Last Modified: 15 Feb 2021 18:29

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