On the Proximity of the Logical and ‘Objective Bayesian’ Interpretations of Probability

Erkenntnis 69 (3):335-349 (2008)
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Abstract

In his Bayesian Nets and Causality, Jon Williamson presents an ‘Objective Bayesian’ interpretation of probability, which he endeavours to distance from the logical interpretation yet associate with the subjective interpretation. In doing so, he suggests that the logical interpretation suffers from severe epistemological problems that do not affect his alternative. In this paper, I present a challenge to his analysis. First, I closely examine the relationship between the logical and ‘Objective Bayesian’ views, and show how, and why, they are highly similar. Second, I argue that the logical interpretation is not manifestly inferior, at least for the reasons that Williamson offers. I suggest that the key difference between the logical and ‘Objective Bayesian’ views is in the domain of the philosophy of logic; and that the genuine disagreement appears to be over Platonism versus nominalism

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Darrell P. Rowbottom
Lingnan University

Citations of this work

What is (Dis)Agreement?Darrell Patrick Rowbottom - 2018 - Philosophy and Phenomenological Research 97 (1):223-236.
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References found in this work

Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
The problems of philosophy.Bertrand Russell - 1912 - New York: Barnes & Noble.
A treatise on probability.John Maynard Keynes - 1921 - Mineola, N.Y.: Dover Publications.
Truth and probability.Frank Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.
Probability Theory. The Logic of Science.Edwin T. Jaynes - 2002 - Cambridge University Press: Cambridge. Edited by G. Larry Bretthorst.

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