J.M. Bocheński together with J. Salamucha, B. Sobociński, and J.F. Drewnowski formed the so-called Cracow Circle in the 30s of the previous century. Its main aim was to utilize contemporary logic in theology and philosophy of God. The first work in this area was Salamucha’s formal analysis of the prima via, published in 1934. The article was reviewed by Bocheński, who provided a number of remarks concerning Salamucha’s analysis. At that time he did not decide to conduct a holistic research (...) into the prima via. That was done by him only at the end of his life as part of the logical analysis of the quinque viae. This paper aims at presenting Bocheński’s unpublished formal analysis of the prima via from 1953 and proving that it constitutes a valuable completion of his published formal analyses, which come from the 1980s and 1990s. Above all, they provide a more insightful analysis of the notion of movement in the prima via, as well as the form of axiom expressing the lack of regress into infinity. In the formalizations of 1953 there are also interesting analyses concerning the ancestral closure of three-argument relations. (shrink)

The paper is devoted to the presentation and analysis of the philosophical views concerning logic and mathematics of the leading members of Cracow Circle, i.e., of Jan Salamucha, Jan Franciszek Drewnowski and Józef Maria Bocheński. Their views on the problem of possible applicability of logical tools in metaphysical and theological researches is also discussed.

Russell alleged that the version of the cosmological argument he debated with Copleston involved type confusions, but the definitions of plural descriptive functions and the ancestral in Principia Mathematica can be used to reformulate the argument in a type-safe way via a notion of causally self-sufficient classes. Although the argument depends on the assumption that the class of contingent things is not causally self-sufficient, if that assumption is weakened to say only that it may not be so, then a new (...) modalized version emerges which has similarities with recent ontological arguments but weaker and more intuitive assumptions. (Familiarity with Principia notation and conventions is presupposed throughout.). (shrink)