Authors
Jon Williamson
University of Kent
Abstract
While there are several arguments on either side, it is far from clear as to whether or not countable additivity is an acceptable axiom of subjective probability. I focus here on de Finetti's central argument against countable additivity and provide a new Dutch book proof of the principle, To argue that if we accept the Dutch book foundations of subjective probability, countable additivity is an unavoidable constraint.
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DOI 10.1093/bjps/50.3.401
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References found in this work BETA

The Scientific Image.William Demopoulos & Bas C. van Fraassen - 1982 - Philosophical Review 91 (4):603.
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Truth and Probability.Frank Ramsey - 1926 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. Routledge. pp. 52-94.
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Citations of this work BETA

Regularity and Hyperreal Credences.Kenny Easwaran - 2014 - Philosophical Review 123 (1):1-41.
Interpretations of Probability.Alan Hájek - 2007 - Stanford Encyclopedia of Philosophy.
Arguments For—Or Against—Probabilism?Alan Hájek - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), British Journal for the Philosophy of Science. Springer. pp. 229--251.
Bayesian Epistemology.William Talbott - 2006 - Stanford Encyclopedia of Philosophy.

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