Random dynamics and the research programme of classical mechanics

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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DOI 10.1080/02698599108573396
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References found in this work BETA
Imre Lakatos (1978). Philosophical Papers. Cambridge University Press.
S. G. Brush (1982). The Kind of Motion We Call Heat. British Journal for the Philosophy of Science 33 (2):165-186.

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