Bertrand's Paradox and the Maximum Entropy Principle

Nicholas SHACKEL, Darrell Patrick ROWBOTTOM

Research output: Journal PublicationsJournal Article (refereed)peer-review

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.
Original languageEnglish
Pages (from-to)505-523
Number of pages19
JournalPhilosophy and Phenomenological Research
Volume101
Issue number3
Early online date18 May 2019
DOIs
Publication statusPublished - Nov 2020

Bibliographical note

Author’s contributions: Shackel 90%, Rowbottom 10%. In memoriam Michael Clark 1940–2019, whoshared our delight in the philosophical problems posed by paradoxes.

Fingerprint Dive into the research topics of 'Bertrand's Paradox and the Maximum Entropy Principle'. Together they form a unique fingerprint.

Cite this