Bayesian Probabilities and the Histories Algebra
Abstract
Description
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.
10 pages, accepted by Int. J. Theo. Phys. Feb 2006
10 pages, accepted by Int. J. Theo. Phys. Feb 2006