Groups, information theory, and Einstein's likelihood principle

We propose a unifying picture where the notion of generalized entropy is related to information theory by means of a group-theoretical approach. The group structure comes from the requirement that an entropy be well defined with respect to the composition of independent systems, in the context of a recently proposed generalization of the Shannon-Khinchin axioms. We associate to each member of a large class of entropies a generalized information measure, satisfying the additivity property on a set of independent systems as a consequence of the underlying group law. At the same time, we also show that Einstein's likelihood function naturally emerges as a byproduct of our informational interpretation of (generally nonadditive) entropies. These results confirm the adequacy of composable entropies both in physical and social science contexts.

Ideología y narrativa: la función significativa, el pensamiento estetizante y las relaciones humanas

This research deals with the study of ideology in the novel. Our motivation has philosophical implications and refers to fundamental and foundational issues of literary theory and aesthetics in general. Thus, the definition of the object of study for a correct formulation of these questions, as appropriate, represents the first difficulty of this research. The concept of ideology is of a problematic nature due to the polysemy of the term and the Marxist pejorative use associated to it. In our work, however, we understand ideology in a general and literal way: study and system of ideas. This research seeks to justify the study of ideology and its relevance in the investigation of narrative text as a system of ideas for understanding the world that determines the individual's relationship with it within the novel. The epistemological approach of our research relates the concept of ideology in terms of literary hermeneutics, critical theory, and dialogic criticism, linked trough the critical inquiry and the signifying function of ideology. Furthermore, the ideological representation of the signifying function in literary texts responds to aesthetic criteria, and therefore aesthetics constitutes the specificity of the methodological approach of this study. Bakhtińs essential text on literary theory, "The Problem of Content, Material and Form in Verbal Arts", allows us to develop an understanding of the literary phenomena based on the concept of aestheticided thought. The main references to establish the foundational criteria of our investigation based on the hermeneutic-aesthetic relationship are P. Ricoeur, M. Bakhtin, and J. Habermas...