Abstract
Publisher Summary At present, the logical ideas of N.A. Vasiliev are attracting the attention of many logicians. He is often considered the forerunner of many-valued logics, intuitionistic logic, and para-consistent logic. He was one of the first to proclaim and construct nonclassical, non-Aristotelean logics. The type of nonclassical logics proposed by Vasiliev is original, not coinciding with many-valued, intuitionistic, or para-consistent logics. Vasiliev's basic idea is the distinction between two levels in logic. The first or external level is connected with epistemological commitments. It is the logic of truth and falsity. Vasiliev calls it the metalogic. According to him, metalogic does not vary, it is absolute. The second level in logic depends on ontological (empirical) commitments in relation to cognizable objects. This part of logic can be varied.
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