Belief Structures within Fractional Semantics : an overview

How can we reason effectively in social contexts marked by uncertainty, disagreement, and incomplete information? This volume explores foundational questions at the intersection of mathematical logic and social epistemology. It brings together contributions from philosophy, logic, computer science, and psychology, examining how individuals and groups revise beliefs, resolve conflicts, and make collective decisions. Most chapters stem from the 2023 workshop Reasoning with Imperfect Information in Social Settings, held at the Scuola Normale Superiore in Pisa. The volume shows how logical methods offer powerful, unifying tools for analyzing the dynamics of information exchange and public deliberation. In doing so, it makes a case for a rigorously formal and interdisciplinary approach to reasoning in complex social environments.