O idei bezpunktowych teorii przestrzeni na przykładzie Tarskiego geometrii brył

Abstract

The paper presents the main idea of point-free theories of space based on Tarski's system of point-free geometry. First, the general idea of the so-called point-free ontology was discussed, as well as the epistemological and methodological reasons for its adoption. Next, Whitehead's method of extensive abstraction, which is the methodological basis for the construction of point-free theories of space, is presented, and the fundamental concepts of mereology are discussed. The main part of the paper is a discussion of Tarski’s geometry of solids, its postulates and metatheoretical properties. The paper ends with a short description of the contribution of Polish researchers to the development of research on point-free theories of space.