Vasiliev’s Clue to Mourdoukhay-Boltovskoy’s Hypersyllogistic

Part of the Synthese Library book series (SYLI, volume 387)


In 1926 D.Mourdoukhay-Boltovskoy introduced a hypersillogistic which according to him relates to the traditional syllogistic as a four-dimensional space relates to the three-dimensional space. Unfortunately, his note was too brief to understand the conception introduced. His remark from 1929 in which he refers to N. Vasiliev’s metalogic furnishes the clue to hypersyllogistic. In the paper the semantic of model schemes for hypersillogistic is proposed and some possible translations into traditional syllogistic are discussed.


Vasiliev Hyperclass Boolean Complementation Contradictory Domain Imaginary Logic 
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Authors and Affiliations

  1. 1.Institute of PhilosophyRussian Academy of SciencesMoscowRussia

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