The author considers the empirical component of physical theories. He studies the origin and development of the theory of physical experiment, the structure and gnoseological hypotheses of the measuring process, as well as the relativity principle concerning the measuring equipment. Examples of modern physical theories are used in order to demonstrate the influence of experimental facts on the formation and development, verification and accepting of these theories in the structure of scientific systems. The role of accidental experimental facts in this (...) process is also the subject. (shrink)

This paper considers the role of mathematics in the process of acquiring new knowledge in physics and astronomy. The defining of the notions of continuum and discreteness in mathematics and the natural sciences is examined. The basic forms of representing the heuristic function of mathematics at theoretical and empirical levels of knowledge are studied: deducing consequences from the axiomatic system of theory, the method of generating mathematical hypotheses, “pure” proofs for the existence of objects and processes, mathematical modelling, the formation (...) of mathematics on the basis of internal mathematical principles and the mathematical theory of experiment. (shrink)