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Springer Proceedings in Mathematics & Statistics

New Directions in Paraconsistent Logic

5th WCP, Kolkata, India, February 2014

Editors: Beziau, Jean-Yves, Chakraborty, Mihir, Dutta, Soma (Eds.)

  • Presents the latest findings by experts in the field of paraconsistent logic
  • Examines all aspects of paraconsistent logic
  • Describes various paraconsistent logic systems
  • Emphasizes interdisciplinary aspects of mathematics, philosophy, computer science, artificial intelligence and linguistics
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eBook 107,09 €
price for France (gross)
  • ISBN 978-81-322-2719-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 137,14 €
price for France (gross)
  • ISBN 978-81-322-2717-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

JEAN-YVES BEZIAU, former PhD student of Newton da Costa, is professor at the University of Brazil, Rio de Janeiro, and editor-in-chief of Logica Universalis (Springer’s journal). He has done research around the world—France, Brazil, Poland, Switzerland and California—and has launched two series of international events: UNILOG, World Congress and School on Universal Logic; SQUARE, World Congress on the Square of Opposition. He is the logic part editor of the Internet Encyclopedia of Philosophy, joint project with Enyclopyedia of Logic that he is editing.

MIHIR KUMAR CHAKRABORTY, PhD, a formerly professor of pure mathematics and logic at the University of Calcutta, is visiting professor at the School of Cognitive Sciences, Jadavpur University, and director of Sivatosh Mookerjee Centre of Sciences, Kolkata. He also had research assignments in Poland, France, Canada, Australia, Italy, Germany and China. Professor Chakraborty had been visiting professor at the Centre for Soft Computing Research, Indian Statistical Institute, Kolkata; Institute for Logic Language and Cognition, Sun Yat-Sen University, Guangzhou, China; Institut de Recherche 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 the Deutscher Akademischer Austuasch Dienst fellowship, IISc fellowship, and fellowship of West Bengal Academy of Sciences, Professor Chakraborty is member of the Council and Research Project Committee of Indian Council for Philosophical Research, and guest professor at the South West University of Chongqing, China. He has about 150 research papers to his credit in several international journals and edited volumes, co-authored one book A Geometry of Approximation (Springer), authored three books in vernacular Bengali on philosophy of mathematics, and co-edited several scientific publications. A member of the editorial board of several international journals and a book series Logic in Asia: Studia Logic Library (Springer), Professor Chakraborty’s areas of research are non-standard logics, rough set theory, fuzzy set theory, reasoning in uncertainty and vagueness, logic of diagrams, topology/functional analysis, and philosophy of mathematics. He also supervised 16 PhD students. Professor Chakraborty is founder of Calcutta Logic Circle, Association for Logic in India, Indian Society for Fuzzy Mathematics and Information Processing and member of the advisory board of International Rough Set Society and Indian Rough Set Society.

SOMA DUTTA did her master and doctoral research at the Department of Pure Mathematics, University of Calcutta, India. Her doctoral research is about a theory of graded consequence, a field of study closely related to fuzzy logic, initiated by her PhD supervisor Mihir Kumar Chakraborty. Her research interests also include paraconsistent logics and generalized quantifiers. She has been associated with The Institute of Mathematical Sciences, Chennai, India, as a postdoctoral fellow. Presently, she has a fellowship of  European Research Consortium for Informatics and Mathematics (ERCIM) to pursue postdoctoral research at the Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Poland.

Table of contents (25 chapters)

  • Tutorial on Inconsistency-Adaptive Logics

    Batens, Diderik

    Pages 3-38

    Preview Buy Chapter 29,94 €
  • Round Squares Are No Contradictions (Tutorial on Negation Contradiction and Opposition)

    Beziau, Jean-Yves

    Pages 39-55

    Preview Buy Chapter 29,94 €
  • On the Philosophy and Mathematics of the Logics of Formal Inconsistency

    Carnielli, Walter (et al.)

    Pages 57-88

    Preview Buy Chapter 29,94 €
  • Three-Valued Paraconsistent Propositional Logics

    Arieli, Ofer (et al.)

    Pages 91-129

    Preview Buy Chapter 29,94 €
  • Strong Three-Valued Paraconsistent Logics

    Beziau, Jean-Yves (et al.)

    Pages 131-145

    Preview Buy Chapter 29,94 €

Buy this book

eBook 107,09 €
price for France (gross)
  • ISBN 978-81-322-2719-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 137,14 €
price for France (gross)
  • ISBN 978-81-322-2717-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
New Directions in Paraconsistent Logic
Book Subtitle
5th WCP, Kolkata, India, February 2014
Editors
  • Jean-Yves Beziau
  • Mihir Chakraborty
  • Soma Dutta
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
152
Copyright
2015
Publisher
Springer India
Copyright Holder
Springer India
eBook ISBN
978-81-322-2719-9
DOI
10.1007/978-81-322-2719-9
Hardcover ISBN
978-81-322-2717-5
Series ISSN
2194-1009
Edition Number
1
Number of Pages
XI, 552
Number of Illustrations and Tables
69 b/w illustrations, 23 illustrations in colour
Topics