CHAOS AND TRANSFORMATION OF THE CATEGORY OF TIME IN POST-NON-CLASSICAL SCIENCE
Andrey Vitalyevich Kolesnikov1, Svetlana Nikolaevna Sirenko2, Georgiy Gennad’evitch Malinetsky3
1Institute of Philosophy, National Academy of Sciences of Belarus, Minsk, Republic of Belarus
2Belarusian State University, Minsk, Republic of Belarus
3Keldysh Institute of Applied Mathematics RAS, Moscow, Russia
Keywords: время, time, chaos, nonlinearity, foundations of mathematics, number, set theory, cellular automata, computer simulation, хаос, нелинейность, основания математики, число, теория множеств, клеточные автоматы, компьютерное моделирование
Abstract
Concepts of time are significantly different in philosophy and the humanities on the one hand and in mathematics and physical and mathematical sciences on the other hand. Mathematics and physics traditionally focus on reproducible periodic processes paying attention to the prediction of their results. Philosophy and the humanities as a whole consider time mostly as a historical irreproducible stream of unique events which create history and as a unique development scenario. An urgent scientific problem consists in the convergence of both concepts, which is possible on the basis of modern ideas of deterministic chaos. For an adequate description of historical time, it is advisable to use the proposed concepts of “dynamic set” and “true (or temporal) number”. The features of deterministic-chaotic processes with the participation of temporal numbers can be shown by the example of computer models of continual cellular automata, for which the rules of transition between their states include nonlinearity.
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