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228(1): 現代数学の系譜11 ガロア理論を読む 2017/01/02(月)08:33 ID:MUXssChK(12/59) AAS
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1 Introduction
The starting point of Cedric Villani's work goes back to the introduction of entropy in the nineteenth century
by L. Carnot and R. Clausius. At the time, entropy was a vague concept and its rigorous definition had to
wait until the fundamental work of L. Boltzmann who introduced nonequilibrium statistical physics and the
famous H functional. Boltzmann's work, though a fundamental breakthrough, did not resolve the question
concerning the nature of entropy and time arrow; the debate on this central question continued for a century
until today. J. von Neumann, in recommending C. Shannon to use entropy for his uncertainty function,
quipped that entropy is a good name because ”nobody knows what entropy really is, so in a debate you will
always have the advantage".
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