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It is known that nontrivial ultraproducts of complete partially ordered sets (posets) are almost never complete. We show that complete additivity of functions is preserved in ultraproducts of posets.… (More)

- Zalán Gyenis, Miklós Rédei
- 2015

The classical interpretation of probability together with the Principle of Indifference are formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A… (More)

- Gábor Sági, Zalán Gyenis
- Math. Log. Q.
- 2013

By a celebrated theorem of Morley, a theory T is א1-categorical if and only if it is κ-categorical for all uncountable κ. In this paper we are taking the first steps towards extending Morley's… (More)

- Zalán Gyenis, Miklós Rédei
- 2016

The Bayes Blind Spot of a Bayesian Agent is the set of probability measures on a Boolean algebra that are absolutely continuous with respect to the background probability measure (prior) of a… (More)

In Bayesian belief revision a Bayesian agent revises his prior belief by conditionalizing the prior on some evidence using Bayes’ rule. We define a hierarchy of modal logics that capture the logical… (More)

- Zalán Gyenis, Miklós Rédei
- Rev. Symb. Log.
- 2017

We 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… (More)

- Zalán Gyenis, Gábor Hofer-Szabó, Miklós Rédei
- Synthese
- 2016

The Borel–Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well… (More)

- Zalán Gyenis
- 2019

In the paper [http://philsci-archive.pitt.edu/14136] a hierarchy of modal logics have been defined to capture the logical features of Bayesian belief revision. Elements in that hierarchy were… (More)

- Zalán Gyenis
- Logic Journal of the IGPL
- 2011

In this paper we show that the one-generated free three dimensional polyadic and substitutional algebras Fr1PA3 and Fr1SCA3 are not atomic. What is more, their corresponding logics have the Godel’s… (More)

- Zalán Gyenis, Miklós Rédei
- 2014

The role of measure theoretic atomicity in common cause closedness of general probability theories with non-distributive event structures is raised and investigated. It is shown that if a general… (More)