Логика n измерений Н. А. Васильева. Современная реконструкция

Abstract

The aim of the paper is to provide a formal reconstruction of Nikolai Vasiliev's idea of n-dimensional logic - logic with n quality types of categorical propositions. According to Vasiliev n-dimensional logic is the generalization of Aristotelian syllogistic (2-dimensional logic containing the two quality types of propositions - affirmative and negative) and of the Imaginary logic (2-dimensional logic containing the three quality types of propositions - affirmative, negative and contradictory). Natural semantics of n-dimensional logic and the adequate formal system are formulated.