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EN
The present paper is the summary of a book which is about to be published. In this book, the authors at first introduce a model based on structural mathematics, which is suitable to describe and analyse the basic laws of both the living and non-living nature. They prove that there are irreconcilable limitations to classic mathematical tools suitable for discovering and describing the non-living world, when they are attempting the description of the phenomena of living nature, especially societies. The authors state that the complex, so called multistructural systems (it is equivalent the living systems) cannot be described and understood by quantitative, metric mathematics, only through the new tools offered by structural mathematics. By using their theoretical methods (so called Structure-difference Effect), they arrived to the formulation of the General Structure-conservation Theorem. Based on which they managed to apply the terminology of non-living nature: matter, motion, space, time, equilibrium, etc. to the structure-space related to societies. This opens up opportunities to work out a social theory proven in an exact manner, which will be described in the second part of the volume. However, this will be the topic of an article to be published later.
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