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Abstrakt

In the paper the basic problems of mathematical modelling are analyzed by which the creating of mathematical models of some non-mathematical region or a part of reality is understood. Specific attention is paid to some difficulties of mathematization of scentific cognition. In the paper there are five of them brought: 1. Mathematicians often do not know the region quite well which their theory is going to be applied to and the other way ronud, the specialists in non-mathematical disciplines do not know the latest knowledge in mathematics. 2. Empty mathematization — the transcription of verbal assertions of a substantial theory into a symbolic mathematical theory in order to achieve the semblance of the scientific method. 3. Insufficient elaboration of a substantial theory. 4. Temporary non-existence of mathematical means which would be able to express (model) adequately complex phenomena and processes. 5. Variety of models, appropriate to describe a definite substantial theory.