Determinism in Deterministic Chaos

John Earman's A Primer on Determinism treats the doctrine of Laplacian determinism by a careful look at a considerable variety of physical theories. This paper enriches Earman's discussion of chaos theory by considering in some detail the analysis of dripping faucets due to Robert Shaw. Shaw's analysis exhibits in a nice way some of the techniques used in chaos theory and gives a feel for research in this area. The paper concentrates on the tension between the determinism inherent in any description involving differential equations and the in-practice unpredictability resulting from the extreme sensitivity to initial conditions of the non-linear differential equations characteristic of chaos theory
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