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- 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 Gödel’s incompleteness property. This provides a partial solution to a longstanding open problem of Németi and Maddux going back to Alfred Tarski via the book… (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 categoricity theorem “to the finite”. In more detail, we are presenting conditions, implying that certain finite subsets of certain א1-categorical T have at most one… (More)

- Zalán Gyenis
- 2012

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 notion called Labeling Invariance is defined in the category of Haar probability spaces, it is shown that Labeling Invariance is violated and Bertrand’s Paradox… (More)

- Zalán Gyenis
- 2013

The paper takes the Abstract Principal Principle to be a norm demanding that subjective degrees of belief of a Bayesian agent be equal to the objective probabilities once the agent has conditionalized his subjective degrees of beliefs on the values of the objective probabilities, where the objective probabilities can be not only chances but any other… (More)

- Zalán Gyenis, Gábor Hofer-Szabó, Miklós Rédei
- Synthese
- 2017

- Zalán Gyenis, Gábor Sági
- 2008

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 notion called Labeling Irrelevance is defined in the category of Haar probability spaces, it is shown that Labeling Irrelevance is violated and Bertrand’s… (More)

- Zalán Gyenis, Miklós Rédei
- 2010

A classical probability measure space was defined in earlier papers [14], [9] to be common cause closed if it contains a Reichenbachian common cause of every correlation in it, and common cause incomplete otherwise. It is shown that a classical probability measure space is common cause incomplete if and only if it contains more than one atom. Furthermore,… (More)

- Zalán Gyenis, Miklós Rédei
- 2015

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 conditionalizing the evidence using the conditional expectation determined by a reference probability measure representing the background subjective degrees of… (More)

- Zalán Gyenis
- Logic Journal of the IGPL
- 2014

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