Проективно-модальная онтология и некоторые ее приложения.

Abstract

The paper describes the logical system called Projective Modal Ontology. It unites the formalized language of Stanislas Lesniewski's ontology and the ideas of the All-Unity Russian philosophy. Many philosophical systems have a typical basic semantics: a principle can be restricted by conditions to form aspects of this principle (relation of principle and its aspects is similar to the relation of a three-dimensional object and its two dimensional projections). Projective Modal Ontology presents this semantics in a formalized way. Language, axioms, definitions and theorems of the system are discussed in detail.