The present book discusses all aspects of paraconsistent logic, including the latest findings, and its various systems. It includes papers by leading international researchers, which address the subject in many different ways: development of abstract paraconsistent systems and new theorems about them; studies of the connections between these systems and other non-classical logics, such as non-monotonic, many-valued, relevant, paracomplete and fuzzy logics; philosophical interpretations of these constructions; and applications to other sciences, in particular quantum physics and mathematics. Reasoning with contradictions is the challenge of paraconsistent logic. The book will be of interest to graduate students and researchers working in mathematical logic, computer science, philosophical logic, linguistics and physics.
JEAN-YVES BEZIAU, former PhD student of Newton da Costa, is professor atthe University of Brazil, Rio de Janeiro, and editor-in-chief of LogicaUniversalis (Springer’s journal). He has done research around the world—France,Brazil, Poland, Switzerland and California—and has launched two series ofinternational events: UNILOG, World Congress and School on Universal Logic;SQUARE, World Congress on the Square of Opposition. He is the logic parteditor of the Internet Encyclopedia of Philosophy, joint project with Enyclopyediaof Logic that he is editing.
MIHIR KUMAR CHAKRABORTY, PhD, a formerly professorof pure mathematics and logic at the University of Calcutta, is visitingprofessor at the School of Cognitive Sciences, Jadavpur University, anddirector of Sivatosh Mookerjee Centre of Sciences, Kolkata. He also hadresearch assignments in Poland, France, Canada, Australia, Italy, Germany andChina. Professor Chakraborty had been visiting professor at the Centre for SoftComputing Research, Indian Statistical Institute, Kolkata; Institute for LogicLanguage and Cognition, Sun Yat-Sen University, Guangzhou, China; Institut deRecherche en Informatique de Toulouse, University Paul Sabataire, Toulouse,France; University of Paris VIII, France; University of Wollongong, Australia;University of Regina, Canada; National Institute of Advanced Studies,Bangalore, India; and Visva-Bharati, Santiniketan, India. A recipient of theDeutscher Akademischer Austuasch Dienst fellowship, IISc fellowship, andfellowship of West Bengal Academy of Sciences, Professor Chakraborty is memberof the Council and Research Project Committee of Indian Council forPhilosophical Research, and guest professor at the South West University of Chongqing,China. He has about 150 research papers to his credit in several internationaljournals and edited volumes, co-authored one book A Geometry of Approximation (Springer),authored three books in vernacular Bengali on philosophy of mathematics, andco-edited several scientific publications. A member of the editorial board ofseveral international journals and a book series Logic in Asia: Studia Logic Library (Springer), ProfessorChakraborty’s areas of research are non-standard logics, rough set theory, fuzzyset theory, reasoning in uncertainty and vagueness, logic of diagrams,topology/functional analysis, and philosophy of mathematics. He also supervised16 PhD students. Professor Chakraborty is founder of Calcutta Logic Circle,Association for Logic in India, Indian Society for Fuzzy Mathematics andInformation Processing and member of the advisory board of International RoughSet Society and Indian Rough Set Society.
SOMA DUTTA did her master and doctoral research atthe Department of Pure Mathematics, University of Calcutta, India. Her doctoralresearch is about a theory of graded consequence, a field of study closelyrelated to fuzzy logic, initiated by her PhD supervisor Mihir KumarChakraborty. Her research interests also include paraconsistent logics andgeneralized quantifiers. She has been associated with The Institute ofMathematical Sciences, Chennai, India, as a postdoctoral fellow. Presently, shehas a fellowship of European Research Consortium for Informatics andMathematics (ERCIM) to pursue postdoctoral research at the Faculty ofMathematics, Informatics and Mechanics, University of Warsaw, Poland.
