Bertrand's paradox and the maximum entropy principle

Shackel, Nicholas ORCID: https://orcid.org/0000-0002-1751-1400 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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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:	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:	19 Apr 2024 18:39
URI:	https://orca.cardiff.ac.uk/id/eprint/121298

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