Foundations of Non-Kolmogorovian Probability Theory

FEDERICO HOLIK

Sao Paulo

Conferencia; 2019 Colloquium on Probability Theory: Philosophy, Physics and Mathematics at Crossroads; 2019

Insitute of Advanced Studies of the University of Sao Paulo

We discuss generalized pobabilistic models for which states do not necessarily obey Kolmogorov?s axioms. After showing different examples, we argue for considering non-Kolmogorovian probabilities as the natural probabilistic assignments for rational agents dealing with contextual models. In this setting, we explore the possibility of defining information measures and discuss the status of information theory and information-based principles.