Thinking About Contradictions: The Imaginary Logic of Nikolai Aleksandrovich Vasil’Ev

Cham, Switzerland: Springer Verlag (2017)
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Abstract

This volume examines the entire logical and philosophical production of Nikolai A. Vasil’ev, studying his life and activities as a historian and man of letters. Readers will gain a comprehensive understanding of this influential Russian logician, philosopher, psychologist, and poet. The author frames Vasil’ev’s work within its historical and cultural context. He takes into consideration both the situation of logic in Russia and the state of logic in Western Europe, from the end of the 19th century to the beginning of the 20th. Following this, the book considers the attempts to develop non-Aristotelian logics or ideas that present affinities with imaginary logic. It then looks at the contribution of traditional logic in elaborating non-classical ideas. This logic allows the author to deal with incomplete objects just as imaginary logic does with contradictory ones. Both logics are objects of interesting analysis by modern researchers.

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Chapters

Imaginary Logic

This chapter discusses in depth Vasil’ev’s imaginary logic. Vasil’ev criticizes the uniqueness of logic and the absoluteness of logical principles, taking into consideration the conceptions of Gerardus Heymans, Carl Göring, Benno Erdmann, Edmund Husserl and John S. Mill. The key point of his critici... see more

An Unquiet Life, a Multi-faceted Output

This chapter offers an outline of Vasil’ev’s life and works, especially of his activities as a historian and man of letters. Vasil’ev grew up in a stimulating, highly cultured family environment. Already as a boy, he showed interest in literature and during his university years, while studying medic... see more

Non-Aristotelian Logic

This chapter deals with attempts, contemporary with Vasil’ev’s own, to develop non-Aristotelian logics that present affinities with imaginary logic. Already in Aristotle’s work there are passages that press in the direction of a non-Aristotelian logic, in so far as they show that the syllogism is in... see more

Interpretations

This chapter offers a review of the interpretations of imaginary logic that have appeared over the last hundred years. The early readers of Vasil’ev’s work can be grouped as displaying one or another of two tendencies, either sharp criticism or notable appreciation . After two decades of silence, Ru... see more

The Historical and Cultural Context

This chapter contextualizes Vasil’ev’s work considering the state of logic in both Russia and Western Europe between the end of the nineteenth and the beginning of the twentieth century, and, above all, the ways in which Vasil’ev absorbed and re-worked input and suggestions flowing from external sou... see more

The Logic of Concepts

This chapter systematically expounds Vasil’ev’s logic of concepts, that is, a logic in which the law of excluded middle does not hold. Sigwart, especially with his concept of the forms of judgment and his critique of particular judgement, exercised a considerable influence on Vasiliev’s development ... see more

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Venanzio Raspa
Università degli Studi di Urbino

References found in this work

Critique of Pure Reason.Immanuel Kant - 1998 - Cambridge: Cambridge University Press. Edited by J. M. D. Meiklejohn. Translated by Paul Guyer & Allen W. Wood.
Logical Investigations.Edmund Husserl - 1970 - London, England: Routledge. Edited by Dermot Moran.
The world as will and representation.Arthur Schopenhauer & E. F. J. Payne - 2010 - New York: Cambridge University Press. Edited by Judith Norman, Alistair Welchman & Christopher Janaway.
The Development of Logic.William Kneale & Martha Kneale - 1962 - Oxford, England: Clarendon Press. Edited by Martha Kneale.

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