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Bertrand's paradox and the maximum entropy principle

Shackel, Nicholas and Rowbottom, Darrell 2019. Bertrand's paradox and the maximum entropy principle. Philosophy and Phenomenological Research 10.1111/phpr.12596
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Abstract

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: In Press
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: 18 Oct 2019 05:27
URI: http://orca.cf.ac.uk/id/eprint/121298

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