Dmitry Mirimanoff
Dmitry Mirimanoff , Russian transcription Dmitri Semjonowitsch Mirimanow, Russian Дми́трий Семёнович Мирима́нов , (born September 13, 1861 in Pereslavl-Zalessky ; † January 5, 1945 in Geneva ) was a Swiss mathematician from Russia.
Mirimanoff had been a member of the Moscow Mathematical Society since 1897 . He married the French Genevieve Adriansen in Geneva in 1897, whom he met in Nice around 1885. He had two sons with her and lived with her first in Moscow, then in Saint Petersburg and from 1900 in Geneva, where he moved for health reasons. He studied in Montpellier and Paris , among others with Henri Poincaré , Jean-Claude Bouquet , Émile Picard , Paul Appell and Charles Hermite . In 1900 he received his doctorate in mathematics in Geneva. From 1901 to 1914 he was a private lecturer at the University of Geneva. In 1920/21 he was Charge de Cours at the University of Friborg , in 1922 Associate Professor of Probability Theory in Geneva, 1922/23 Charge de Cours at the University of Lausanne and in 1931 Full Professor at the University of Geneva. Since his retirement in 1936, he has held an honorary professorship there.
He never returned after the October Revolution in Russia and became a Swiss citizen in 1926.
He is known for contributions to number theory, especially around Fermat's conjecture . Among other things, he expanded a criterion by Arthur Wieferich (see Wieferich prime number ). Mirimanoff is also known for achievements in set theory, although he only published three papers here in 1917 and 1920. In them he proved to be the forerunner of John von Neumann in his concept of the ordinal number (like Ernst Zermelo in 1915 in unpublished works) and used a form of the axiom of foundation to avoid the set-theoretical paradoxes. Other areas of work of Mirimanoff were analysis, elementary geometry and probability theory.
He received honorary doctorates from the University of Lausanne (1937) and the University of Lyon (1941).
literature
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Individual evidence
- ↑ Memoirs of Georges de Rham Quelques souvenirs des années 1925-1950 , Cahiers du séminaire d'histoire des mathématiques, Volume 1, 1980, pp. 32–33
- ↑ Mirimanoff Les antinomies de Russell et de Burali-Forte et leproblemème fundamental de la théorie des ensembles , L'Enseignment Mathematique, Volume 19, 1917, pp. 37-52. He published two more essays on set theory Remarques sur la theorie des ensembles et les antimonies cantoriennes , part 1,2, L´Enseignement Mathematique, Volume 19, 1917, pp. 209-217, Volume 21, 1920, pp. 29-52
- ↑ Ernst Specker La réponse de Dmitry Mirimanoff , in Gasser, Volken (editor) Logic and Set Theory in 20th Century Switzerland , Bern 2001, pdf ( Memento of the original from November 30, 2015 in the Internet Archive ) Info: The archive link was automatically inserted and not yet checked. Please check the original and archive link according to the instructions and then remove this notice.
- ↑ Kanamori The mathematical development of set theory from Cantor to Cohen , Bull. Symbolic Logic, Volume 2, No. 1, 1996, Chapters 3.1, 3.2
| personal data | |
|---|---|
| SURNAME | Mirimanoff, Dmitry |
| BRIEF DESCRIPTION | Swiss mathematician |
| DATE OF BIRTH | September 13, 1861 |
| PLACE OF BIRTH | Pereslavl-Zalessky |
| DATE OF DEATH | January 5, 1945 |
| Place of death | Geneva |