The logical legacy of Nikolai Vasiliev and modern logic


    • Markin, Vladimir
    • Zaitsev, Dmitry


The logical legacy of Nikolai Vasiliev and modern logic

Vladimir Markin, Dmitry Zaitsev, editors

(Synthese library, v. 387)

Springer, c2017

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Includes bibliographical references



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.


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 Luls 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

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  • Synthese library

    D. Reidel , Distributed in the U.S.A. and Canada by Kluwer Boston



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    • 9783319661605
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    viii, 221 p.
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    25 cm
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