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Article
Bertrand's paradox revisited : why Bertrand's 'solutions' are all inapplicable
Philosophia Mathematica
  • Darrell Patrick ROWBOTTOM, Lingnan University, Hong Kong
Document Type
Journal article
Publication Date
2-1-2013
Disciplines
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.
DOI
10.1093/philmat/nks028
E-ISSN
17446406
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Copyright © 2013 Oxford University Press

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Citation Information
Rowbottom, D. P. (2013). Bertrand's paradox revisited: Why Bertrand's 'solutions' are all inapplicable. Philosophia Mathematica, 21(1), 110-114. doi: 10.1093/philmat/nks028