Abstract

The considerations carried out in the present work belong to the area of logistic; the sentences on which I based these considerations are generally accepted among researchers working in this field of knowledge. I do not, however, carry out my considerations on the basis of any specific system of logistic; in particular, I do not make my reasonings dependent on the best known theory of logical types by Russell. Although it is not possible, as I see it, to develop a consistent system of logistic without this or that theory of types, among all the theories of types which could be constructed2 there unquestionably exist those according to which my arguments, in their present general form, are faultless. One such theory was developed by S. Leśniewski during his lectures on the foundations of arithmetic at the University of Warsaw (in 1920–1921).3

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