Possible worlds with impossible objects: the imaginary logic of NA Vasil'év

Logique Et Analyse 40 (159):225-248 (1997)
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Abstract

The paper investigates the system of 'Imaginary Logic' created by the Russian logician N.A. Vasil'ev (1880-1940), considered by some to be a forerunner of paraconsistent or intuitionistic logics. It is shown how he constructs a logic without the law of contradiction redefining the concept of negation. Vasil'ev singles out two levels of logic, an external one which is absolute and one depending on commitments in relation to cognizable objects which is not absolute. His reconstruction of the syllogism shows the viability of his system and indicates how, indeed, he may be called an initiator of nonclassical logics.

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Venanzio Raspa
Università degli Studi di Urbino

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