Overview
- Investigates what is beyond the Principle of Non-Contradiction
- Details groundbreaking ideas on consistency and inconsistency
- Explores the foundations of reasoning, including logical systems and philosophical considerations
Part of the book series: Trends in Logic (TREN, volume 47)
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Table of contents (15 chapters)
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Front Matter
Keywords
About this book
Most of the papers, but not all, are developed around the subtle distinctions between consistency and non-contradiction, as well as among contradiction, inconsistency, and triviality, and concern one of the above mentioned threads of the broadly understood non-contradiction principle and the related principle of explosion. Some others take a perspective that is not too far away from such themes, but with the freedom to tread new paths.
Readers should understand the title of this book in a broad way,because it is not so obvious to deal with notions like contradictions, consistency, inconsistency, and triviality. The papers collected here present groundbreaking ideas related to consistency and inconsistency.
Reviews
Editors and Affiliations
About the editors
Walter Carnielli is professor of logic and philosophy at the Department of Philosophy, and a former Director of the Centre for Logic, Epistemology and the History of Science of the University of Campinas, Brazil. He received a PhD in Mathematics from the University of Campinas and held research positions at the University of São Paulo, University of California Berkeley, University of Münster, University of Bonn, Superior Technical Institute Lisbon, and Université du Luxembourg. He has published several books and more than 100 scientific papers in combinatorics, proof theory, semantics for nonclassical logics, recursion theory and computability, set theory, modal logics, combinations of logics, and foundations of
paraconsistent logics. His concerns involve the expansion of reasoning horizons by non-classical logics, including the connections between logic, probability and game theory, as well as the philosophical
interpretation of non-classical logics. He is executive editor of the IGPL Journal (Oxford Journals), editor of The Non-classical Logics Corner of the Journal of Logic and Computation (together with Heinrich
Wansing) and member of the editorial board of several other journals. Carnielli is a recipient of the Jabuti Prize, Brazil's most prestigious literary prize.
Jacek Malinowski is professor of logic and philosophy at the Instituite of Philosophy and Sociology, Polish Academy of Sciences, Warsaw, Poland. He received a Master degree in Mathamatic from the University of Łódź, Poland, and PhD and habilitation in Philosophy at Institute of Philosophy and Sociology, Polish Academy of Sciences. He held research positions at Free Univeristy of Brussels, Humboltd University in Berlin, University of Leipzig, the Netherland Institute of Advanced Study in Wasenaar. He publish papers in algebraic logics, quantuum logics, logical pragmatics. He is active as editor-in-chief of Studia Logica what he consider his main professional concern.
Bibliographic Information
Book Title: Contradictions, from Consistency to Inconsistency
Editors: Walter Carnielli, Jacek Malinowski
Series Title: Trends in Logic
DOI: https://doi.org/10.1007/978-3-319-98797-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Hardcover ISBN: 978-3-319-98796-5Published: 23 October 2018
Softcover ISBN: 978-3-030-07534-7Published: 19 January 2019
eBook ISBN: 978-3-319-98797-2Published: 13 October 2018
Series ISSN: 1572-6126
Series E-ISSN: 2212-7313
Edition Number: 1
Number of Pages: VI, 322
Number of Illustrations: 22 b/w illustrations, 10 illustrations in colour
Topics: Logic, Ontology, Mathematical Logic and Foundations