Synthese Library

The Logical Legacy of Nikolai Vasiliev and Modern Logic

Editors: Markin, Vladimir, Zaitsev, Dmitry (Eds.)

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  • 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
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  • ISBN 978-3-319-66162-9
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Hardcover $119.99
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Softcover $119.99
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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 systems of 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.

About the authors

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.

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Nikolai A. Vasiliev, His Life and Imaginary Logic Legacy

    Pages 1-8

    Bazhanov, Valentin A.

  • N.A. Vasiliev in the Context of Philosophical and Methodological Disputes of the Early Twentieth Century

    Pages 9-17

    Sorina, G. V.

  • Is Modern Logic Non-Aristotelian?

    Pages 19-41

    Beziau, Jean-Yves

  • Vasiliev and the Foundations of Logic

    Pages 43-58

    Bueno, Otávio

  • Vasiliev’s Ideas for Non-Aristotelian Logics: Insight Towards Paraconsistency

    Pages 59-77

    D’Ottaviano, Itala Maria Loffredo (et al.)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-319-66162-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $119.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Logical Legacy of Nikolai Vasiliev and Modern Logic
Editors
  • Vladimir Markin
  • Dmitry Zaitsev
Series Title
Synthese Library
Series Volume
387
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-66162-9
DOI
10.1007/978-3-319-66162-9
Hardcover ISBN
978-3-319-66160-5
Softcover ISBN
978-3-319-88189-8
Series ISSN
0166-6991
Edition Number
1
Number of Pages
VIII, 221
Number of Illustrations
76 b/w illustrations
Topics