Philosophy of Science 59 (2):263-275 (1992)
|Abstract||Some irrational numbers are "random" in a sense which implies that no algorithm can compute their decimal expansions to an arbitrarily high degree of accuracy. This feature of (most) irrational numbers has been claimed to be at the heart of the deterministic, but chaotic, behavior exhibited by many nonlinear dynamical systems. In this paper, a number of now classical chaotic systems are shown to remain chaotic when their domains are restricted to the computable real numbers, providing counterexamples to the above claim. More fundamentally, the randomness view of chaos is shown to be based upon a confusion between a chaotic function on a phase space and its numerical representation in Rn|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Charlotte Werndl (2009). What Are the New Implications of Chaos for Unpredictability? British Journal for the Philosophy of Science 60 (1):195-220.
Klaus Jürgen Düsberg (1995). Deterministisches Chaos: Einige Wissenschaftstheoretisch Interessante Aspekte. [REVIEW] Journal for General Philosophy of Science 26 (1):11 - 24.
Frederick M. Kronz (1998). Nonseparability and Quantum Chaos. Philosophy of Science 65 (1):50-75.
Frank Moss, L. A. Lugiato & Wolfgang Schleich (eds.) (1990). Noise and Chaos in Nonlinear Dynamical Systems: Proceedings of the Nato Advanced Research Workshop on Noise and Chaos in Nonlinear Dynamical Systems, Institute for Scientific Interchange, Villa Gualino, Turin, Italy, March 7-11, 1989. [REVIEW] Cambridge University Press.
Yvon Gauthier (2009). The Construction of Chaos Theory. Foundations of Science 14 (3):153-165.
Frederick M. Kronz (2000). Chaos in a Model of an Open Quantum System. Philosophy of Science 67 (3):453.
Added to index2009-01-28
Total downloads15 ( #85,901 of 722,744 )
Recent downloads (6 months)2 ( #36,438 of 722,744 )
How can I increase my downloads?