Applied Physics and Mathematics Annotation << Back EUCLID’S POSTULATES – THE CONDITION OF MODEL EQUILIBRIUM IN NATURE S.N. GUZEVICH Currently, Euclid’s postulates are one of the foundations of the model description of the physical processes of nature occurring in spherical space. However, no description of the physical processes that should be built on equilibrium has been obtained. At the same time, only a part of Euclid’s postulate is currently used. The paper considers the influence of conceptual, terminological and epistemological laws of cognition on the processes of cognition. It is shown that nature is built on the principle of pairing and the use of two laws of epistemology: the unity and struggle of opposites and the unity of part and whole, on which axiomatic conditions of interaction and equilibrium are built. The work touches upon the issue of the main methodological principle of science – its axiomatics and consistency, considering the conditions for the reliability of measurements in spherical space. The axiomatic condition of the interaction of objects in nature is realized by the equilibrium interaction of their fields during the dynamic movement of objects in space. Keywords: pairing, postulates, axioms, point, straight line, vector, plane, image of an object, comparison, reliability, Euclidean axiomatic. DOI: 10.25791/pfim.05.2022.1239 Pp. 03-14.