Walter Carnielli on Reasoning, Paraconsistency, and Probability

This book is a collection of essays and research articles honoring Walter Carnielli and his work. It brings together contributions from renowned scholars from all over the world whose work draws on or is somehow related to the several important researches Carnielli has conducted throughout his career. It includes advanced work in paraconsistent and non-classical logics, computability, probability theory, philosophy of logic, and philosophy of science.

Carnielli’s contributions to logic are widely acknowledged by the scientific community, and encompass very diverse areas – ranging from critical thinking to probability theory. During his career he has published several important research papers, as well as widely adopted text-books on logic and related topics. This book reflects this aspect of Carnielli’s work and is thus of interest to logicians, philosophers of science and mathematics, mathematicians, and computer scientists.

Chapter “Beyond Paraconsistency: A Plea for a Radical Breach with the Aristotelean Orthodoxy in Logic” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Henrique Antunes received his Ph.D. degree in Philosophy at the University of Campinas in 2019 under the supervision of Professor Walter Carnielli. Currently, he is a postdoctoral researcher at the Federal University of Minas Gerais and a full member of the Advanced Reasoning Forum. His main research areas are mathematical logic, non-classical logics, philosophy of logic, and philosophy of mathematics.

Alfredo Roque Freire received his doctorate in philosophy under the supervision of Walter Carnielli and Rodrigo Freire at the State University of Campinas (2019). As visiting scholar (2018) at the Graduate Center (CUNY), he collaborated with Joel Hamkins in foundations of set theory. He also held a temporary position as professor of logic at the University of Brasília and was a postdoc in applied logic at the Modal Institute. He is currently a postdoctoral fellow in mathematical logic at the University of São Paulo. His research interest is centered on fundamental issues in logic and set theory.

Abílio Rodrigues received his Ph.D. degree in 2007 from the Pontifical Catholic University of Rio de Janeiro (PUC-Rio), where he studied logic and philosophy of language. Since 2009 he is an associate professor of Philosophy at the Federal University of Minas Gerais. His main areas of interest are philosophy of logic and non-classical logics, particularly intuitionistic and paraconsistent logics.