id author title date pages extension mime words sentences flesch summary cache txt work_sh66uopa7zcz7ett6aakomuzpy Simon M. Huttegger Bayesian Convergence to the Truth and the Metaphysics of Possible Worlds 2015 13 .pdf application/pdf 7120 447 61 convergence-to-the-truth results in probability theory, Belot draws a bleak conclusion: Sections 4 and 5 I consider two: the notion of open-minded priors and the relationship between topology and probability theory. 3The latter fact depends on A being a measurable subset of Cantor space and conditional probabilities Pn being taken relative to the first n digits of the sequence. every open set of Cantor space has positive probability while the prior is closedminded with respect to the possibility of observing infinitely many ones. A prior is open-minded with respect to R if for all data sets (finite One important aspect of Belot's argument is the assumption of having an openminded prior with respect to a measurable set R. agent is closed-minded with respect to the failure set (it has probability zero), but to every open set and (ii) zero probability to each particular infinite sequence. ./cache/work_sh66uopa7zcz7ett6aakomuzpy.pdf ./txt/work_sh66uopa7zcz7ett6aakomuzpy.txt