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International Journal of Theoretical Physics

, Volume 45, Issue 7, pp 1247–1257 | Cite as

Bayesian Probabilities and the Histories Algebra

  • Thomas Marlow
Article

Abstract

We attempt a justification of a generalisation of the consistent histories programme using a notion of probability that is valid for all complete sets of history propositions. This consists of introducing Cox's axioms of probability theory and showing that our candidate notion of probability obeys them. We also give a generalisation of Bayes' theorem and comment upon how Bayesianism should be useful for the quantum gravity/cosmology programmes.

Keywords

Bayesian probability consistent histories linear positivity. 

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Copyright information

© Springer Science + Business Media, Inc. 2006

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity of NottinghamNottinghamUK

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