Algorithmic randomness in empirical data

According to a traditional view, scientific laws and theories constitute algorithmic compressions of empirical data sets collected from observations and measurements. This article defends the thesis that, to the contrary, empirical data sets are algorithmically incompressible. The reason is that ind...

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Publicado en:Studies in History & Philosophy of Science Part A Vol. 34; no. 3; pp. 633 - 647
Autor principal: McAllister, James W.
Formato: Artículo
Publicado: Elsevier B.V. Sep2003
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.1016/S0039-3681(03)00047-5
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        au: McAllister, James W.
        affil: Faculty of Philosophy, University of Leiden, P.O. Box 9515, 2300 RA, Leiden, Netherlands
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        Algorithms
        Perturbation theory
        Information theory
        Science
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          Algorithms
          Perturbation theory
          Information theory
          Science
      keyword:
        Algorithmic randomness
        Compression
        Empirical data
        Information
        Law
        Pattern
      ab: According to a traditional view, scientific laws and theories constitute algorithmic compressions of empirical data sets collected from observations and measurements. This article defends the thesis that, to the contrary, empirical data sets are algorithmically incompressible. The reason is that individual data points are determined partly by perturbations, or causal factors that cannot be reduced to any pattern. If empirical data sets are incompressible, then they exhibit maximal algorithmic complexity, maximal entropy and zero redundancy. They are therefore maximally efficient carriers of information about the world. Since, on algorithmic information theory, a string is algorithmically random just if it is incompressible, the thesis entails that empirical data sets consist of algorithmically random strings of digits. Rather than constituting compressions of empirical data, scientific laws and theories pick out patterns that data sets exhibit with a certain noise.
      pubtype: Academic Journal
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    language: English
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