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

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  • Research Output

    • 2 Journal Article (refereed)
    • 1 Textbook (Author)

    Probability

    ROWBOTTOM, D. P., Nov 2015, United Kingdom: Polity Press. 180 p. (Key Concepts in Philosophy)

    Research output: Scholarly Books | Reports | Literary WorksTextbook (Author)

  • Bertrand's paradox revisited : why Bertrand's 'solutions' are all inapplicable

    ROWBOTTOM, D. P., 1 Feb 2013, In : Philosophia Mathematica. 21, 1, p. 110-114 5 p.

    Research output: Journal PublicationsJournal Article (refereed)

  • 10 Citations (Scopus)

    Bangu’s random thoughts on Bertrand’s paradox

    ROWBOTTOM, D. P. & SHACKEL, N., 1 Oct 2010, In : Analysis. 70, 4, p. 689-692 4 p.

    Research output: Journal PublicationsJournal Article (refereed)

    5 Citations (Scopus)

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