Logical Legacy of Nikolai Vasiliev and Modern Logic

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.

• 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.