Hugo Dionizy Steinhaus – a Way to Contemporary Probability

Authors

  • Tadeusz Bednarski Institute of Economic Sciences, University of Wroclaw

DOI:

https://doi.org/10.18778/0208-6018.336.04

Keywords:

history of probability, Hugo Steinhaus

Abstract

Hugo Steinhaus (1887–1972) studied mathematics and philosophy at the Jan Kazimierz University in Lwow. Since 1905 he stayed in Göttingen where in 1911 he obtained his PhD under David Hilbert. In 1920 he became professor of the Lwow University. Together with Stefan Banach he established there a strong mathematical center for functional analysis. After the II World War he participated in creation of the mathematics department of the Wroclaw University and he was a founder of Wroclaw school for applied probability. He is the author and coauthor of 250 publications. In 1923 H. Steinhaus published in “Fundamenta Mathematicae” a study of Borel countable probabilities where, among other things, he gave an axiomatic definition of a probability measure on the space of countable zero‑one sequences. The goal of this note is to demonstrate a potentially important role of Steinhaus result in the process leading to final axiomatization of probability theory by Andrei Kolmogorov in 1933.

Downloads

Download data is not yet available.

References

Borel E. (1905), Remarques sur certaines questions de probabilité, „Bulletin de la Société Mathématique de France”, t. 33, s. 123–128.
Google Scholar

Borel E. (1909), Les probabilités dénombrables et leurs applications arithmétiques, „Rend. Circ. Mat. Palermo”, t. 27, s. 247–270.
Google Scholar

Broggi U. (1907), Die Axiome der Wahrscheinlichkeitsrechnung, Ph.D. thesis, Universität Göttingen, Göttingen.
Google Scholar

Fréchet M. (1938), Exposé et discussion de quelques recherches récentes sur les fondements du calcul des probabilités, „Actualités Scientifiques et Industrielles”, t. 735, s. 23–55.
Google Scholar

Hilbert D. (1902), Mathematical problems, „Bull. Amer. Math. Soc.”, t. 8, s. 437–479.
Google Scholar

Khinchin A. Y., Kolmogorov A. N. (1925), Über Konvergenz von Reihen, deren Glieder durch den Zufall bestimmt werden, „Matematiceskij Sbornik (Sbornik: Mathematics)”, t. 32, s. 668–677.
Google Scholar

Kolmogorov A. N. (1933), Grundbegriffe der Wahrscheinlichkeitsrechnung, Springer, Berlin.
Google Scholar

Kolmogorov A. N. (1956), Foundations of the Theory of Probability, Chelsea Publishing Company, New York.
Google Scholar

Laplace P. S. (1902), A Philosophical Essay on Probabilities, Chapman & Hall, London.
Google Scholar

Łomnicki A. (1923), Nuoveaux fondements de la théorie des probabilités (Définition de la probabilité fondée sur la théorie des ensembles), „Fundamenta Math.”, t. 4, s. 34–71.
Google Scholar

Mazurkiewicz S. (1915), La théorie des probabilités, Warszawa.
Google Scholar

Moivre A. de (1718), The Doctrine of Chances, London.
Google Scholar

Plato J. von (1994), Creating Modern Probability. Its Mathematics, Physics and Philosophy in Historical Perspective, Cambridge University Press, Cambridge.
Google Scholar

Shafer G., Vovk V. (2006), The Sources of Kolmogorov’s Grundbegriffe, „Statistical Science”, t. 21, s. 70–98.
Google Scholar

Sierpiński M. (1919), Sur une définition axiomatique des ensembles measurable, „Bull. del’Acad. des Sci. de Cracovie”, s. 173–178.
Google Scholar

Steinhaus H. (1923), Les probabilités dénombrables et leur rapport à la théorie de la mesure, „Fund. Math.”, t. 4, s. 286–310.
Google Scholar

Published

2018-09-04

How to Cite

Bednarski, T. (2018). Hugo Dionizy Steinhaus – a Way to Contemporary Probability. Acta Universitatis Lodziensis. Folia Oeconomica, 4(336), 61–70. https://doi.org/10.18778/0208-6018.336.04

Issue

Section

Articles