The AGM theory is the dominating paradigm in the field of belief change but makes some non-elementary assumptions which disallow its application to certain logics. In this paper, we recast the theory by dropping most such assumptions; we determine necessary and sufficient conditions for a logic to support operators which are compatible with our generalized version of the theory and show that ou...

In this paper, we present a scheme of postulates for revising epistemic states by condit ional beliefs. These postulates are supported mainly by fol lowing the specific, non-classical nature of conditionals, and the aim of preserving condi t ional beliefs is achieved by studying specific interactions between conditionals, represented properly by two relations. Because one of the postulates clai...

The general principles and logical structure of a thermodynamic formalism that incorporates strongly self-gravitating systems are presented. This framework generalizes and simplifies the formulation of thermodynamics developed by Callen. The definition of extensive variables, the homogeneity properties of intensive parameters, and the fundamental problem of gravitational thermodynamics are disc...

The aim of belief merging is to merge conflicting information while preserving as much of it as possible. Most proposals in the literature work with knowledge bases expressed in propositional logic. We propose a new framework for merging knowledge bases expressed in (subsets of) first-order logic. Dilation operators (a concept originally introduced by Bloch and Lang) are employed and developed,...

This paper deals with a foundational aspect of Integrated Information Theory (IIT) consciousness: the nature relation between axioms phenomenology and postulates cause-effect power. There has been lack clarity in literature regarding this crucial issue, for which IIT received much criticism its axiomatic method basic tenets. The present contribution elucidates problem by means categorial analys...