The construction of chaos theory

Foundations of Science 14 (3):153-165 (2009)
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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    Yvon Gauthier (2005). Hermann Weyl on Minkowskian Space-Time and Riemannian Geometry. International Studies in the Philosophy of Science 19 (3):261 – 269.
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