Chapter

Bayesian Projectibility

Brian Skyrms

in From Zeno to Arbitrage

Published in print November 2012 | ISBN: 9780199652808
Published online January 2013 | e-ISBN: 9780191745829 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199652808.003.0016
Bayesian Projectibility

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Generalizations of de Finetti’s theorem are the key to a proper view of inductive logic. They go far beyond the original scope of coin flipping. Abstract ergodic theory provides a very general extension to degrees of belief exhibiting some symmetry. Symmetries provide an implicit definition of the repetition of an experiment with the same chance structure, a tie to relative frequency, and an account of induction. Inductive skepticism is seen in a new light.

Keywords: de Finetti; partial exchangeability; ergodic; inductive skepticism

Chapter.  9346 words.  Illustrated.

Subjects: Philosophy of Science

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