Omówienie wybranych koncepcji geometrii bezpunktowych
Discussion of selected concepts of pointless geometries

Summary/Abstract: The concept of “point” is the most important concept of geometry. Euclid regarded this concept as the original term by constructing geometry. Currently, geometry is one of the branches of set theory, or the theory that deals with the study of collections ‘in a distributive sense’, and thus abstract sets. In the submitted work, the attention will be focused on the works of: E. Glibowski, J. Słupecki Geometria cubes and R. Sochacki The theory of squares on the basis of Lesniewski mereology. Mereology operates with extended objects in time and space, and therefore objects that are closer to the intuitions associated with the experience of space. In contrast, the abstract concept of a point, as the building block of space, raises some cognitive anxiety – neither using deduction nor using an experiment, one can show their actual existence (unless their existence is axiomatic, but in the surrounding reality such Euclidean objects do not exist).

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