МАТЕМАТИЧЕСКАЯ ГИПОТЕЗА
Mathematical Hypothesis
An essential method of cognition in contemporary physics. The development of those branches of physics which study the microcosm came up against the loss of "rough" sensual visuality by physical objects. In consequence, the chief means of describing the results of experiments in physics and making heuristic, prophetical generalizations became possible above all in mathematical form. Accordingly, Mathematical Hypothesis began to play a leading role in the progress of the physical theory in the shape of extrapolation, generalized mathematical schemes, and juxtaposition of mathematical theories with reality.
New physical objects or their new properties are cognized by Mathematical Hypothesis by comparing the known empirical and certain theoretical data concerning a deeper level of matter with the generalized and supplemented mathematical scheme of the previous level. Mathematical Hypothesis is possible in principle, because the mathematical apparatus of any physical theory is an adequate reflection of the corresponding level of matter and because there is an inner interdependence and unity between the different levels of matter.