Shackel, Nicholas ORCID: https://orcid.org/0000-0002-1751-1400 and Rowbottom, Darrell P.
2020.
Bertrand's paradox and the maximum entropy principle.
Philosophy and Phenomenological Research
101
(3)
, pp. 505-523.
10.1111/phpr.12596
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Official URL: http://dx.doi.org/10.1111/phpr.12596
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.
| Item Type: | Article |
|---|---|
| Date Type: | Publication |
| Status: | Published |
| Schools: | Schools > English, Communication and Philosophy |
| Publisher: | Wiley |
| ISSN: | 0031-8205 |
| Date of First Compliant Deposit: | 1 April 2019 |
| Date of Acceptance: | 29 March 2019 |
| Last Modified: | 08 Aug 2025 21:30 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/121298 |
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