The laws of reason and logic in Nikolai Vasiliev’s system

The ideas of Russian logician Nikolai Vasiliev con- cerning the status of the law of contradiction are discussed in this article. The arguments presented in his article ‘Logic and meta-logic’ are deeply explored bringing to light the weakness of his philosophical theory. His ‘imaginary’ logic is a system that describes not the system of the laws of reason, but relations in which objects of some ontology stand to each other. Comparing the fundamental idea of Vasiliev to the classical concepts of reason brings us to a better understanding of the fact that philosophical intention of Vasiliev has been left unfulfilled.

What trends in non-classical logic were anticipated by Nikolai Vasiliev?

In this paper we discuss a question about the trends in non-classical logic that were exactly anticipated by Niko- lai Vasiliev. We show the influence of Vasiliev’s Imaginary logic on paraconsistent logic. Metatheoretical relations between Vasiliev’s logical systems and many-valued predicate logics are established. We also make clear that Vasiliev has developed a sketch of original system of intensional logic and expressed certain ideas of modal and temporal logics.