Overview
- Demonstrates a comprehensive and exhaustive survey of the formal reconstructions of all Vasiliev’s systems
- Offers a wide range of developments and implementations of Vasiliev’s logical ideas in the modern logic and philosophy
- Presents foundations of logic in the light of Vasiliev’s contradictory ontology
Part of the book series: Synthese Library (SYLI, volume 387)
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Table of contents (15 chapters)
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Front Matter
Keywords
About this book
This volume offers a wide range of both reconstructions of Nikolai Vasiliev’s original logical ideas and their implementations in the modern logic and philosophy. A collection of works put together through the international workshop "Nikolai Vasiliev’s Logical Legacy and the Modern Logic," this book also covers foundations of logic in the light of Vasiliev’s contradictory ontology. Chapters range from a look at the Heuristic and Conceptual Background of Vasiliev's Imaginary Logic to Generalized Vasiliev-style Propositions. It includes works which cover Imaginary and Non-Aristotelian Logics, Inconsistent Set Theory and the Expansion of Mathematical Thinking, Plurivalent Logic, and the Impact of Vasiliev's Imaginary Logic on Epistemic Logic. The Russian logician, Vasiliev, was widely recognized as one of the forerunners of modern non-classical logic. His "imaginary logic" developed in some of his work at the beginning of 20th century is often considered to be one of the first systemsof paraconsistent and multi-valued logic. The novelty of his logical project has opened up prospects for modern logic as well as for non-classical science in general. This volume contains a selection of papers written by modern specialists in the field and deals with various aspects of Vasiliev's logical ideas. The logical legacy of Nikolai Vasiliev can serve as a promising source for developing an impressive range of philosophical interpretations, as it marries promising technical innovations with challenging philosophical insights.
Editors and Affiliations
About the editors
Vladimir I. Markin - Head of the Department of Logic, Lomonosov Moscow State University, Moscow, Doctor of Science, logician, philosopher. His research interests focus on Syllogistics, Modal Logic and Logic of Time. He is the co-author of two logic textbooks and three books on Syllogistic and automated PROOF-Search.
Dmitry V. Zaitsev - Associate professor, Department of Logic, Lomonosov Moscow State University, Moscow, Doctor of Science. Research interests cover the areas of relevant logic, many-valued logic and argumentation theory.
Bibliographic Information
Book Title: The Logical Legacy of Nikolai Vasiliev and Modern Logic
Editors: Vladimir Markin, Dmitry Zaitsev
Series Title: Synthese Library
DOI: https://doi.org/10.1007/978-3-319-66162-9
Publisher: Springer Cham
eBook Packages: Religion and Philosophy, Philosophy and Religion (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-66160-5Published: 29 November 2017
Softcover ISBN: 978-3-319-88189-8Published: 27 May 2018
eBook ISBN: 978-3-319-66162-9Published: 21 November 2017
Series ISSN: 0166-6991
Series E-ISSN: 2542-8292
Edition Number: 1
Number of Pages: VIII, 221
Number of Illustrations: 76 b/w illustrations
Topics: Epistemology, Mathematical Logic and Foundations, History of Science