Biography:Paul Finsler
Paul Finsler | |
|---|---|
| File:FinslerPaul Zurich1932.tif Prof. Finsler at the International Mathematical Congress, Zürich 1932. | |
| Born | 11 April 1894 Heilbronn, Germany |
| Died | 29 April 1970 (aged 76) Zurich, Switzerland |
| Alma mater | University of Göttingen |
| Known for | Finsler manifold Finsler's lemma Finsler–Hadwiger theorem Hadwiger–Finsler inequality Non-well-founded set theory |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Zurich |
| Academic advisors | Constantin Carathéodory |
Paul Finsler (born 11 April 1894, in Heilbronn, Germany, died 29 April 1970 in Zurich, Switzerland ) was a German and Swiss mathematician.[1]
Finsler did his undergraduate studies at the Technische Hochschule Stuttgart,[1] and his graduate studies at the University of Göttingen, where he received his Ph.D. in 1919 under the supervision of Constantin Carathéodory.[2] He studied for his habilitation at the University of Cologne, receiving it in 1922.[1] He joined the faculty of the University of Zurich in 1927, and was promoted to ordinary professor there in 1944.[1]
Finsler's thesis work concerned differential geometry, and Finsler spaces were named after him by Élie Cartan in 1934.[1] The Hadwiger–Finsler inequality, a relation between the side lengths and area of a triangle in the Euclidean plane, is named after Finsler and his co-author Hugo Hadwiger, as is the Finsler–Hadwiger theorem on a square derived from two other squares that share a vertex.[3] Finsler is also known for his work on the foundations of mathematics, developing a non-well-founded set theory with which he hoped to resolve the contradictions implied by Russell's paradox.[1][4]
Publications
- Finsler, Paul (1918), Über Kurven und Flächen in allgemeinen Räumen, Dissertation, Göttingen, https://catalog.hathitrust.org/Record/007896148 (Reprinted by Birkhäuser (1951))[5]
- Finsler, Paul (1926). "Gibt es Widersprüche in der Mathematik?". Jahresbericht der Deutschen Mathematiker-Vereinigung 34: 143–154. https://eudml.org/doc/145712.
- Finsler, Paul (1926). "Formale Beweise und die Entscheidbarkeit". Mathematische Zeitschrift 25: 676–682. doi:10.1007/bf01283861. http://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002369001.
- Finsler, Paul (1926). "Über die Grundlegung der Mengenlehre. Erster Teil.". Mathematische Zeitschrift 25: 683–713. doi:10.1007/bf01283862. http://eudml.org/doc/167904. Finsler, Paul (1963). "Über die Grundlegung der Mengenlehre. Zweiter Teil.". Commentarii Mathematici Helvetici 38 (1): 172–218. doi:10.1007/bf02566915.
- Finsler, P. (1933). "Die Existenz der Zahlenreihe und des Kontinuums". Commentarii Mathematici Helvetici 5: 88–94. doi:10.1007/BF01297507.
- Finsler: Aufsätze zur Mengenlehre. (ed. G. Unger) 1975.
- Finsler Set Theory: Platonism and Circularity. "Translation of Paul Finsler's papers on set theory with introductory comments". Birkhäuser Basel. 1996. doi:10.1007/978-3-0348-9031-1. ISBN 978-3-0348-9876-8.
References
- ↑ 1.0 1.1 1.2 1.3 1.4 1.5 O'Connor, John J.; Robertson, Edmund F., "Paul Finsler", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Finsler.html.
- ↑ Paul Finsler at the Mathematics Genealogy Project.
- ↑ Finsler, Paul (1937), "Einige Relationen im Dreieck", Commentarii Mathematici Helvetici 10 (1): 316–326, doi:10.1007/BF01214300.
- ↑ Breger, Herbert (1992), "A restoration that failed: Paul Finsler's theory of sets", in Gillies, Donald, Revolutions in Mathematics, Oxford University Press, pp. 249–264.
- ↑ Busemann, H. (1952). "Review: Über Kurven und Flächen in allgemeinen Räumen, by P. Finsler". Bull. Amer. Math. Soc. 58 (1): 102. doi:10.1090/s0002-9904-1952-09572-0. https://www.ams.org/journals/bull/1952-58-01/S0002-9904-1952-09572-0/.
Further reading
- Burckhardt, J. J. (1980), Die Mathematik an der Universität Zurich 1916-1950 unter den Professoren R. Fueter, A. Speiser und P. Finsler, Basel.
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