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ARTICLE

Are Statistical Laws Genuine Laws ? A Concern of Poincaré and Boltzmann

  • Pages : 215 à 235
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  • Date de création : 04-01-2011
  • Dernière mise à jour : 04-01-2011

Mots-clés :

    Résumé :

    Français

    Usually a law is understood as a rule which governs all the things of a certain area to which the law is applicable. Since statistical laws govern most of the things of such an area but allow exceptions for some of them – even if those exceptions are very improbable – there is the question whether statistical laws are genuine laws at all. This paper deals with four questions : – 1, Can all laws be reduced to dynamical laws ?; – 2, Are all laws (ultimately) statistical laws ?; – 3, The Discovery of Chaotic Motion; – 4, Boltzmann versus Poincaré : is Boltzmann’s statistical mechanics as an explanation for time-irreversible processes incompatible with Poincaré’s recurrence theorem ?

     

    Mots-clés :

      Résumé :

      Français

      Usually a law is understood as a rule which governs all the things of a certain area to which the law is applicable. Since statistical laws govern most of the things of such an area but allow exceptions for some of them – even if those exceptions are very improbable – there is the question whether statistical laws are genuine laws at all. This paper deals with four questions : – 1, Can all laws be reduced to dynamical laws ?; – 2, Are all laws (ultimately) statistical laws ?; – 3, The Discovery of Chaotic Motion; – 4, Boltzmann versus Poincaré : is Boltzmann’s statistical mechanics as an explanation for time-irreversible processes incompatible with Poincaré’s recurrence theorem ?

       
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