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.
Carniellis 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 Carniellis 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.
1 A Fascination for Reasoning.- 2 Introduction.- 3 On the Philosophy and
Mathematics of Hybrid Partial Type Theory.- 4 Possible-translation semantics
from a categorical point of view.- 5 Self-extensionality in Four-Valued
Paradefinite Logics.- 6 Logical desiderata on statistical inference.- 7
Paraconsistent and Paracomplete Popperian Probabilities.- 8 Dynamic Epistemic
Logic with ASP Updates: Application to Conditional Planning.- 9 Restricted
swap structures for 𝑪-systems: an algebraic and categorical
approach.- 10 Nicholas of Autrecourt and Paraconsistency.- 11 A Logic Not
Exactly Adopted.- 12 An approach to inconsistency-tolerant reasoning about
probability based on ukasiewicz logic.- 13 Recapturing Structural Properties
with a Consistency Operator.- 14 On 0-Categorical Biregular Rings.- 15 The
(In)Consistency of Consistency.- 16 Modality and Dyadic Contingency.- 17
Decidability of Consequence in Logics via Reduction.- 18 An informational
approach to logic: towards more realistic models of logical agents.- 19 The
e-value and the Full Bayesian Significance Test: Logical Properties and
Philosophical Consequences.- 20 Beyond Paraconsistency: A plea for a radical
breach with the Aristotelean orthodoxy in logic.- 21 My views on my friends
and their contributions.- 22 Bibliography of Walter Carnielli.
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.
