Journal Article

Countable additivity and subjective probability

J Williamson

in The British Journal for the Philosophy of Science

Published on behalf of British Society for the Philosophy of Science

Volume 50, issue 3, pages 401-416
Published in print September 1999 | ISSN: 0007-0882
Published online September 1999 | e-ISSN: 1464-3537 | DOI: http://dx.doi.org/10.1093/bjps/50.3.401
Countable additivity and subjective probability

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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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Subjects: Philosophy of Science ; Science and Mathematics

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