Bertrand's Paradox and the Maximum Entropy Principle

Nicholas SHACKEL, Darrell Patrick ROWBOTTOM

Research output: Journal PublicationsJournal Article (refereed)

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
JournalPhilosophy and Phenomenological Research
Early online date18 May 2019
DOIs
Publication statusE-pub ahead of print - 18 May 2019

Fingerprint

Maximum Entropy
Paradox
Chord
Indifference
Revenge

Cite this

@article{3957d797e81941d68ad402232da3d730,
title = "Bertrand's Paradox and the Maximum Entropy Principle",
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.",
author = "Nicholas SHACKEL and ROWBOTTOM, {Darrell Patrick}",
year = "2019",
month = "5",
day = "18",
doi = "10.1111/phpr.12596",
language = "English",
journal = "Philosophy and Phenomenological Research",
issn = "0031-8205",
publisher = "Wiley-Blackwell",

}

Bertrand's Paradox and the Maximum Entropy Principle. / SHACKEL, Nicholas; ROWBOTTOM, Darrell Patrick.

In: Philosophy and Phenomenological Research, 18.05.2019.

Research output: Journal PublicationsJournal Article (refereed)

TY - JOUR

T1 - Bertrand's Paradox and the Maximum Entropy Principle

AU - SHACKEL, Nicholas

AU - ROWBOTTOM, Darrell Patrick

PY - 2019/5/18

Y1 - 2019/5/18

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85066038510&partnerID=8YFLogxK

U2 - 10.1111/phpr.12596

DO - 10.1111/phpr.12596

M3 - Journal Article (refereed)

JO - Philosophy and Phenomenological Research

JF - Philosophy and Phenomenological Research

SN - 0031-8205

ER -