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Full Description
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.
Contents
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 푪-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 Łukasiewicz logic.- 13 Recapturing Structural Properties with a Consistency Operator.- 14 On ℵ0-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.
