The Logical Legacy of Nikolai Vasiliev and Modern Logic

by Vladimir Markin (Editor), Dmitry Zaitsev (Editor)

Overview

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.

Product Details

ISBN-13:	9783319661629
Publisher:	Springer International Publishing
Publication date:	11/21/2017
Series:	Synthese Library , #387
Sold by:	Barnes & Noble
Format:	eBook
Pages:	221
File size:	2 MB

About the Author

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

PrefaceD. Zaitsev, V. Markin
Chapter 1. Nikolai A. Vasiliev, His Life and Imaginary Logic LegacyValentin A. Bazhanov
Chapter 2. N.A. Vasiliev in the context of philosophical and methodological disputes of the early 20th centuryGalina V. Sorina
Chapter 3. Is Modern Logic Non-Aristotelian?Jean-Yves Beziau

Chapter 4. Vasiliev and the Foundations of LogicOtavio Bueno
Chapter 5. Vasiliev's ideas for non-Aristotelian logics: insight towards paraconsistencyItala Maria Loffredo D'Ottaviano, Evandro Luĺs Gomes
Chapter 6. Epicurus, Vasil’ev and Aristotle on the law of the excluded thirdJose Verissimo Teixeira da Mata
Chapter 7. Modern Reconstruction of Vasiliev's Logical SystemsVladimir I. Markin
Chapter 8. Nikolai Vasiliev's Imaginary Logic and Stable MeaningIvan B. Mikirtumov
Chapter 9. Vasiliev and the Foundations of Logical LawsElena D. Smirnova
Chapter 10. The Impact of N.A. Vasiliev's Imaginary Logic on Epistemic and Relevance LogicWerner Stelzner
Chapter 11. Generalized Vasiliev-style PropositionsDmitry V. Zaitsev
Chapter 12. Plurivalent LogicsGraham Priest
Chapter 13. On sublogics in Vasil'ev fragment of the logic definable with A. Arruda's calculus V1Vladimir M. Popov, Vasily O. Shangin
Chapter 14. Vasiliev’s Clue to Mourdoukhay-Boltovskoy’s HypersyllogisticVladimir L. Vasyukov
Chapter 15. Experimenting with consistencyJuliana Bueno-Soler, Walter Carnielli