The Logical Legacy of Nikolai Vasiliev and Modern Logic (eBook)
VIII, 221 Seiten
Springer International Publishing (Verlag)
978-3-319-66162-9 (ISBN)
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.
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.
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.
PrefaceD. Zaitsev, V. MarkinChapter 1. Nikolai A. Vasiliev, His Life and Imaginary Logic LegacyValentin A. BazhanovChapter 2. N.A. Vasiliev in the context of philosophical and methodological disputes of the early 20th centuryGalina V. SorinaChapter 3. Is Modern Logic Non-Aristotelian?Jean-Yves BeziauChapter 4. Vasiliev and the Foundations of LogicOtavio BuenoChapter 5. Vasiliev's ideas for non-Aristotelian logics: insight towards paraconsistencyItala Maria Loffredo D'Ottaviano, Evandro Luĺs GomesChapter 6. Epicurus, Vasil’ev and Aristotle on the law of the excluded thirdJose Verissimo Teixeira da MataChapter 7. Modern Reconstruction of Vasiliev's Logical SystemsVladimir I. MarkinChapter 8. Nikolai Vasiliev's Imaginary Logic and Stable MeaningIvan B. MikirtumovChapter 9. Vasiliev and the Foundations of Logical LawsElena D. SmirnovaChapter 10. The Impact of N.A. Vasiliev's Imaginary Logic on Epistemic and Relevance LogicWerner StelznerChapter 11. Generalized Vasiliev-style PropositionsDmitry V. ZaitsevChapter 12. Plurivalent LogicsGraham PriestChapter 13. On sublogics in Vasil'ev fragment of the logic definable with A. Arruda's calculus V1Vladimir M. Popov, Vasily O. ShanginChapter 14. Vasiliev’s Clue to Mourdoukhay-Boltovskoy’s HypersyllogisticVladimir L. VasyukovChapter 15. Experimenting with consistencyJuliana Bueno-Soler, Walter Carnielli
| Erscheint lt. Verlag | 21.11.2017 |
|---|---|
| Reihe/Serie | Synthese Library | Synthese Library |
| Zusatzinfo | VIII, 221 p. 76 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Themenwelt | Geisteswissenschaften ► Geschichte |
| Geisteswissenschaften ► Philosophie ► Allgemeines / Lexika | |
| Mathematik / Informatik ► Mathematik | |
| Schlagworte | Contradictory Ontology • foundations of logic • History of Logic • Imaginary logic • Logical Laws • Non-Aristotelian Logic • Non-Classical Logic • paraconsistent logic • Vasiliev's Imaginary Logic |
| ISBN-10 | 3-319-66162-0 / 3319661620 |
| ISBN-13 | 978-3-319-66162-9 / 9783319661629 |
| Haben Sie eine Frage zum Produkt? |
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