What Are the New Implications of Chaos for Unpredictability?

British Journal for the Philosophy of Science 60 (1):195-220 (2009)
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Abstract

From the beginning of chaos research until today, the unpredictability of chaos has been a central theme. It is widely believed and claimed by philosophers, mathematicians and physicists alike that chaos has a new implication for unpredictability, meaning that chaotic systems are unpredictable in a way that other deterministic systems are not. Hence, one might expect that the question ‘What are the new implications of chaos for unpredictability?’ has already been answered in a satisfactory way. However, this is not the case. I will critically evaluate the existing answers and argue that they do not fit the bill. Then I will approach this question by showing that chaos can be defined via mixing, which has never before been explicitly argued for. Based on this insight, I will propose that the sought-after new implication of chaos for unpredictability is the following: for predicting any event, all sufficiently past events are approximately probabilistically irrelevant.

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Charlotte Sophie Werndl
London School of Economics

Citations of this work

Entropy - A Guide for the Perplexed.Roman Frigg & Charlotte Werndl - 2011 - In Claus Beisbart & Stephan Hartmann, Probabilities in Physics. Oxford, GB: Oxford University Press. pp. 115-142.
Are deterministic descriptions and indeterministic descriptions observationally equivalent?Charlotte Werndl - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (3):232-242.

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References found in this work

Deterministic theories.Richard Montague - 1974 - In Richmond H. Thomason, Formal Philosophy. Yale University Press.
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.
Randomness Is Unpredictability.Antony Eagle - 2005 - British Journal for the Philosophy of Science 56 (4):749-790.
Explaining Chaos.Peter Smith - 2000 - Philosophical Quarterly 50 (198):126-128.

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