Bertrand's Paradox and the Maximum Entropy Principle.
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 c...
| Published in: | Philosophy & Phenomenological Research Vol. 101; no. 3; pp. 505 - 524 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Published: |
Wiley-Blackwell
Nov2020
|
| Subjects: | |
| Online Access: | View this record in EBSCOhost |
| Summary: | 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. |
|---|