The Logical Legacy of Nikolai Vasiliev and Modern Logic

ISBN-13: 9783319661605 / Angielski / Twarda / 2017 / 221 str.

Vladimir Markin; Dmitry Zaitsev

Opis

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.

Spis treści

Preface

D. Zaitsev, V. Markin

Chapter 1. Nikolai A. Vasiliev, His Life and Imaginary Logic Legacy

Valentin A. Bazhanov

Chapter 2. N.A. Vasiliev in the context of philosophical and methodological disputes of the early 20th century

Galina V. Sorina

Chapter 3. Is Modern Logic Non-Aristotelian?

Jean-Yves Beziau

Chapter 4. Vasiliev and the Foundations of Logic

Otavio Bueno

Chapter 5. Vasiliev's ideas for non-Aristotelian logics: insight towards paraconsistency

Itala Maria Loffredo D'Ottaviano, Evandro Luĺs Gomes

Chapter 6. Epicurus, Vasil’ev and Aristotle on the law of the excluded third

Jose Verissimo Teixeira da Mata

Chapter 7. Modern Reconstruction of Vasiliev's Logical Systems

Vladimir I. Markin

Chapter

8. Nikolai Vasiliev's Imaginary Logic and Stable Meaning

Ivan B. Mikirtumov

Chapter 9. Vasiliev and the Foundations of Logical Laws

Elena D. Smirnova

Chapter 10. The Impact of N.A. Vasiliev's Imaginary Logic on Epistemic and Relevance Logic

Werner Stelzner

Chapter 11. Generalized Vasiliev-style Propositions

Dmitry V. Zaitsev

Chapter 12. Plurivalent Logics

Graham Priest

Chapter 13. On sublogics in Vasil'ev fragment of the logic definable with A. Arruda's calculus V1

Vladimir M. Popov, Vasily O. Shangin

Chapter 14. Vasiliev’s Clue to Mourdoukhay-Boltovskoy’s Hypersyllogistic

Vladimir L. Vasyukov

Chapter 15. Experimenting with consistency

Juliana Bueno-Soler, Walter Carnielli

O autorze

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.

Blurb

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.