Random dynamics and the research programme of classical mechanics |
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Authors: | Michal Tempczyk |
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Affiliation: | Institute of Philosophy and Sociology , Polish Academy of Sciences , Warszawa, Poland |
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Abstract: | The modern mathematical theory of dynamical systems proposes a new model of mechanical motion. In this model the deterministic unstable systems can behave in a statistical manner. Both kinds of motion are inseparably connected, they depend on the point of view and researcher's approach to the system. This mathematical fact solves in a new way the old problem of statistical laws in the world which is essentially deterministic. The classical opposition: deterministic‐statistical, disappears in random dynamics. The main thesis of the paper is that the new theory of motion is a revolution in the research programme of classical mechanics. It is the revolution brought about by the development of mathematics. |
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