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Aristotle was the first philosopher of science. He distinguished between metaphysics, mathematics, natural sciences and theoretical knowledge of man. A scientific explanation of an event or phenomenon is given from four positions (formal, material, driving, target). Mathematics was considered the science of ideal forms, so everything imperfect had to be described by non-mathematical methods.
Galileo's views differed from those of Aristotle. Unlike Aristotle, Galileo was convinced that the real language in which the laws of nature could be expressed was the language of mathematics. To do this, it is necessary to limit the subject of natural science only to the objective qualities of things (the shape of bodies, their size, mass, position in space and characteristics of their movement).