The construction of chaos theory

Foundations of Science 14 (3):153-165 (2009)
Authors
Yvon Gauthier
Université de Montréal
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.
Keywords Chaos  Dynamical systems  Probability theory  Constructivist philosophy
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DOI 10.1007/s10699-008-9129-8
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References found in this work BETA

The Ergodic Hierarchy, Randomness and Hamiltonian Chaos.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 37 (4):661-691.
The Ergodic Hierarchy, Randomness and Hamiltonian Chaos.Joseph Berkovitz, Roman Frigg & Fred Kronz - 2006 - Studies in History and Philosophy of Modern Physics 37 (4):661-691.
Physics and Chance.Lawrence Sklar - 1995 - British Journal for the Philosophy of Science 46 (1):145-149.
Chaos Out of Order: Quantum Mechanics, the Correspondence Principle and Chaos.Gordon Belot & John Earman - 1997 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 28 (2):147-182.

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