Document Type
Journal article
Source Publication
Philosophia Mathematica
Publication Date
2-1-2013
Volume
21
Issue
1
First Page
110
Last Page
114
Publisher
Oxford University Press
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
Print ISSN
00318019
E-ISSN
17446406
Publisher Statement
Copyright © 2013 Oxford University Press
Access to external full text or publisher's version may require subscription.
Full-text Version
Pre-print
Language
English
Recommended Citation
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