Zalan Gyenis is a Postdoctoral Fellow in Logic at the Algebra Department of Technical University of Budapest. In 2013 he received his Ph.D. in Mathematics at the Central European University, he then held a Postdoctoral Fellowship at the Renyi Institute of the Hungarian Academy of Sciences in 2013-2015. His research focuses on Logic (algebraic logic, model theory) and topics related to interpretational problems of probability, and Bayesianism.
Dates of Visit: 4 - 31 July, 2016
Project Title: Investigating properties of general Bayesian learning
Project Description: My planned project aims at analyzing two problems in philosophy of science using formal methods. The problems mainly are concerned with interpretational problems of probability including non-classical probability. Interpretational problems of probability is a central topic in philosophy of science; Bayesianism and its features, in particular, have been analyzed extensively in connection with both classical and quantum probability theory. In a manuscript joint with Prof. Redei (General properties of general Bayesian learning, Submitted, 2016) we started to investigate the general properties of general Bayesian learning, where "general Bayesian learning" means inferring a state from another that is regarded as evidence, and where the inference is conditionalizing the evidence using the conditional expectation determined by a reference probability measure representing the background subjective degrees of belief of a Bayesian Agent performing the inference. The investigation is motivated by the observation that the properties of Bayesian learning we wish to determine do not seem to have been analyzed in the literature on Bayesianism on the level of generality we aim at there. During my visit we plan to work out the remaining details of this project in depth.