Bertrand's Paradox and the Maximum Entropy Principle

Bibliographic Data

ID10345286
AuthorsNicholas Shackel (0000-0002-1751-1400, Cardiff University), Darrell P Rowbottom (0000-0001-8226-9828, Lingnan University)
Year2019
Volume101
Issue3
Pages505-523
Publication date2019-05-18
Open AccessYes
TypeARTICLE
VenuePhilosophy and Phenomenological Research (JOURNAL)
Journal identifiersISSN: 0031-8205 • E-ISSN: 1933-1592
PublisherWiley (PUBLISHER • GB)
DOI10.1111/phpr.12596
OpenAlexW2944924184
LanguageEN
Citations received2
References cited24

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

Entropy (arrow of time · Joint quantum entropy · Mathematical economics · Maximum entropy thermodynamics · Physics · Principle of maximum entropy · Quantum mechanics · Statistics · Mathematics · Philosophy and History of Science · Probability and Statistical Research · Statistical Mechanics and Entropy

Tools

Open DOISci-Hub