The Construction of Chaos Theory |
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| Authors: | Yvon Gauthier |
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| Institution: | (1) Department of philosophy, University of Montreal, Succ. Centre-Ville, Montreal, QC, Canada, H3C3J7 |
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| Abstract: | This paper aims at a logico-mathematical analysis of the concept of chaos from the point of view of a constructivist philosophy
of physics. The idea of an internal logic of chaos theory is meant as an alternative to a realist conception of chaos. A brief
historical overview of the theory of dynamical systems is provided in order to situate the philosophical problem in the context
of probability theory. A finitary probabilistic account of chaos amounts to the theory of measurement in the line of a quantum-theoretical
foundational perspective and the paper concludes on the non-classical internal logic of chaos theory. Finally, deterministic
chaos points to a philosophy which asserts that chaotic systems are no less measurable than other physical systems where predictable
and non–predictable phenomena intermingle in a constructive theory of measurement.
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| Keywords: | Chaos Dynamical systems Probability theory Constructivist philosophy |
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