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(2013) The nonlinear world, Dordrecht, Springer.
Conceptual analysis is to pursue a mathematical formulation of things that is maximally consistent with our intuition, but it is not an easy task. This chapter utilizes "chaos' to illustrate conceptual analysis. It turns out that this requires conceptual analyses of other fundamental concepts such as "measure,' "probability,' "information,' "computation,' "randomness,' etc. After elementary expositions of these concepts from the conceptual analysis point of view, a close relation between chaos and algorithmic randomness (Brudno's theorem) is explained to exhibit the goodness of our conceptual analytical result for "chaos.'
Publication details
DOI: 10.1007/978-4-431-54029-8_2
Full citation:
Oono, Y. (2013). Conceptual analysis, in The nonlinear world, Dordrecht, Springer, pp. 35-119.
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