Umberto Rivieccio: The unordinary logic of ordinary discourse

Tuesday March 5 2024 @12:00 (CEST)
Sala B, Edificio de Humanidades, UNED & online

Abstract
Most non-classical logics are subclassical, meaning that every inference or theorem valid in a given non-classical logic is also valid classically. There are, however, a few systems that challenge classical logic not only by rejecting some of its theses, but also by accepting principles that are not valid in classical logic. An example of such a principle is so-called Aristotle’s thesis, stating that no proposition can imply its own negation.  A little-known paper from the 1960s proposes and motivates one such logic as a more adequate candidate for formalizing ordinary discourse, that is, everyday reasoning. From a formal point of view, this logic is somewhat unordinary, and therefore interesting for the mathematical logician. In my talk I will discuss the propositional logic of ordinary discourse as well as my recent findings on this system.

Bio
Umberto Rivieccio obtained his PhD jointly from the University of Genoa and the University of Barcelona. Throughout the last decade, he has been a wandering scholar, living and holding research positions at a number of universities in Europe, Asia and the Americas. He is now an assistant professor at the Department of Logic, History, and Philosophy of Science of UNED. His main research is in the areas of algebraic logic, duality theory and non-classical logics, with a particular focus on paraconsistent logics.