Foundations of Physics 30 (1):101-120 (2000)

Quasi-set theory provides us a mathematical background for dealing with collections of indistinguishable elementary particles. In this paper, we show how to obtain the usual statistics (Maxwell–Boltzmann, Bose–Einstein, and Fermi–Dirac) into the scope of quasi-set theory. We also show that, in order to derive Maxwell–Boltzmann statistics, it is not necessary to assume that the particles are distinguishable or individuals. In other words, Maxwell–Boltzmann statistics is possible even in an ensamble of indistinguishable particles, at least from the theoretical point of view. The main goal of this paper is to provide the mathematical grounds of a quasi-set theoretical framework for statistical mechanics
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DOI 10.1023/A:1003643109795
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On a Quasi-Set Theory.Décio Krause - 1992 - Notre Dame Journal of Formal Logic 33 (3):402--11.
Axioms for Collections of Indistinguishable Objects.Décio Krause - 1996 - Logique Et Analyse 153 (154):69-93.

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