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...

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Detalles Bibliográficos
Publicado en:Philosophy & Phenomenological Research Vol. 101; no. 3; pp. 505 - 524
Autores principales: Shackel, Nicholas, Rowbottom, Darrell P.
Formato: Artículo
Publicado: Wiley-Blackwell Nov2020
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario: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.