Concerning the weakest coherent formalization of methodological skepticism as a Bayesian updater

The paper is about formalizing methodological skepticism as a Bayesian updater, it is shown that the weakest coherent formal system, by ordinal analysis, is equivalent in strength to the formal system containing intuitionistic logic and finitist set theory, as the formal system containing them is able to construct a linear bounded automaton that can compute discrete Bayesian inference.