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

Research output: Journal PublicationsJournal Article (refereed)

10 Citations (Scopus)

Abstract

This paper shows that Bertrand's proposed ‘solutions’ to his own question, which generates his chord paradox, are inapplicable. It uses a simple analogy with cake cutting. The problem is that none of Bertrand's solutions considers all possible cuts. This is no solace for the defenders of the principle of indifference, however, because it emerges that the paradox is harder to solve than previously anticipated.
Original languageEnglish
Pages (from-to)110-114
Number of pages5
JournalPhilosophia Mathematica
Volume21
Issue number1
Early online date12 Dec 2012
DOIs
Publication statusPublished - 1 Feb 2013

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