ON THE GEOMETRIC PICTURE OF THE WORLD IN THE LIGHT OF HEIDEGGER’S ONTOLOGY

Until recently, there was one unsolved riddle regarding the logic that Lobachevsky followed when creating his non-Euclidean (hyperbolic) geometry. This article shows that such a logic is implicitly present in him, and it coincides with the logic already formed now, called complementary-dialectical logic. This logic stems from Heidegger’s fundamental ontology. In the field of the geometric discipline of thought, complementary-dialectical logic makes it possible to combine the historical and logical aspects of the genesis of Lobachevsky’s geometry. Allows us to understand how and why imaginary points appear on a hyperbolic line, how they are related to points at infinity, etc. constructing a geometric picture of the world as part of the overall scientific picture.