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Peijnenburg, Jeanne and Atkinson, David (2011) AN ENDLESS HIERARCHY OF PROBABILITIES. [Preprint]


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According to radical probabilism, all factual claims are merely probabilistic in character. Throughout the centuries this view has been criticized on the grounds that it triggers an infinite regress: if every claim is probabilistic, then the proposition that something is probable is itself only probable, and so on. An endless hierarchy of probabilities seems to emerge and, as a result, the probability of the original proposition can never be determined. This criticism goes back as far as David Hume, and in the twentieth century it was raised also by statisticians such as Leonard J. Savage. Recently Nicholas Rescher ventured a similar critique of radical probabilism. In this paper it is argued that the criticism does not hold water, for an endless hierarchy of probability statements is no obstacle to attaching a definite probability value to the original proposition. Moreover, it is claimed that radical probabilism can reinforce some of Rescher's own main claims.

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Item Type: Preprint
Peijnenburg, Jeanne
Atkinson, David
Keywords: Higher order probability, infinite regress, Nicholas Rescher.
Subjects: General Issues > Confirmation/Induction
Depositing User: David Atkinson
Date Deposited: 15 Dec 2011 15:19
Last Modified: 15 Dec 2011 15:19
Item ID: 8951
Subjects: General Issues > Confirmation/Induction
Date: 2011

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