Syntactic Categories and Logical Antynomies

Abstract

During the first semester of the academic year 1930/31 in the John Casimir University in Lvov Kazimierz Ajdukiewicz delivered a series of lectures on logical semantics. In eight of them, now published for the first time, he presents - in the very clear manner - his fractional method of identifying syntactic categories, and he shows how to use this method to eliminate the antynomies of classes, relations and properties. The Ajdukiewiczian method had been appreciated among logicians and it is considered widely one of the starting points of so-called categorial grammars.