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A set of «ground hypotheses» for elementary-particle statistics

Система «основных гипотез» для статиетики элементарных частиц

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Il Nuovo Cimento B (1971-1996)

Summary

A «rational reconstruction» of the Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics is proposed, that is a set of conditions (ground hypotheses) implying the probability functions which determine the above statistics. In order to accomplish this purpose, methods, language and results of inductive logic are adopted.

Riassunto

Si propone una «ricostruzione razionale» delle statistiche di Maxwell-Boltzmann, Bose-Einstein e Fermi-Dirac, vale a dire un insieme di condizioni (ipotesi profonde) da cui sono derivabili le funzioni di probabilità che determinano le suddette statistiche. Allo scopo, si è fatto uso dei metodi, linguaggio e risultati della logica induttiva.

Резюме

Предлагается ⩉рациональная реконструкция» статистик Маквелла-Больцмана, Бозе-Эйнштейна и Ферми-Дирака. Предлагается система условий («основные гипотезы»), заключающих в себе функции вероятости, которые определяют вышеуказанные статики. Для достижения этой цели используются методы, язык и результаты индуктивной логики.

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References

  1. See,e.g.,R. Carnap:Philos. Sci.,12, 72 (1945).

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  2. See,e.g.,R. C. Tolman:The Principles of Statistical Mechanics (Oxford, 1938).

  3. SeeR. Carnap:The Basic System of Inductive Logic, Part I, inStudies in Inductive Logic and Probability, edited byR. Carnap andR. C. Jeffrey, Vol. 1 (Los Angeles, Cal., 1971), p. 33.

  4. SeeR. Carnap:The Basic System of Inductive Logic, Part II, inStudies in Inductive Logic and Probability, edited byR. C. Jeffrey, Vol.2 (Los Angeles, Cal., 1980), p. 7.

  5. D. Costantini:Erkenntnis,14, 149 (1979).

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Author information

Authors and Affiliations

  1. Istituto di Statistica dell'Università, Via Belle Arti 41, 40126, Bologna, Italia

    D. Costantini

  2. Istituto di Filosofia dell'Università, Via Zamboni 38, 40126, Bologna, Italia

    M. C. Galavotti

  3. C.N.R., Istituto LAMEL, Via Castagnoli 1, 40126, Bologna, Italia

    R. Rosa

Authors
  1. D. Costantini
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  2. M. C. Galavotti
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  3. R. Rosa
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Additional information

A nontechnical version of the same subject appeared inScientia,117, 137 (1982).

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Costantini, D., Galavotti, M.C. & Rosa, R. A set of «ground hypotheses» for elementary-particle statistics. Nuov Cim B 74, 151–158 (1983). https://doi.org/10.1007/BF02721673

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  • DOI: https://doi.org/10.1007/BF02721673

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