Georg Bohlmann

Georg Bohlmann (23 April 1869 – 25 April 1928) was a German mathematician who specialized in probability theory and actuarial mathematics.

Life and career

Georg Bohlmann went to school in Berlin and Leipzig and took his ''Abitur'' at the ''Wilhelms-Gymnasium'' in Berlin in 1888. After that, he began studying mathematics at the University of Berlin under Leopold Kronecker, Lazarus Fuchs, and Wilhelm Dilthey. As he advanced in his studies, Lie groups became the focus of his interest. Since this area was poorly represented at Berlin, he moved to the University of Halle, where he obtained his doctorate in 1892 under Albert Wangerin with a dissertation on the topic ''Ueber eine gewisse Klasse continuierlicher Gruppen und ihren Zusammenhang mit den Additionstheoremen'' ("On a certain class of continuous groups and their relation to addition theorems"). After that, he worked at the Meteorological Institute of Berlin, where presumably his interest in applied mathematics developed. At the invitation of Felix Klein, he moved to the University of Göttingen, where he habilitated in 1894. In 1895, he was involved in starting a seminar on actuarial science at Göttingen. However, since he held no permanent position there, he went to Berlin in 1903 to work as the Chief Actuary for the German subsidiary of the New York Mutual Life Insurance Company.

In 1901, he wrote the entry on life insurance mathematics in the '' Enzyklopädie der mathematischen Wissenschaften'' ("Encyclopaedia of Mathematical Sciences") in which he gave axioms for probability theory long before Andrey Kolmogorov did so in 1933. In particular, he was the first to give the modern definition of statistical independence. Compared to the current structure of probability theory, his work only lacked the technical condition of sigma additivity. However, in contrast to Kolmogorov, Bohlmann failed to prove significant theorems within his axiomatic framework. As a result, his fundamental contributions to probability theory gained very little attention. In particular, though Kolmogorov had visited Göttingen several times in the late 1920s, he had no knowledge of Bohlmann's work.

Bohlmann was an invited speaker in the International Congress of Mathematicians in 1908 at Rome.''Über die Grundlagen der Wahrscheinlichkeitsrechnung in ihrer Anwendung auf die Lebensversicherung.''"Mr. Bohlmann forms a system of postulates from which theorems of the calculus of probability can be deduced logically. He examines the criteria of probability concerning the independence of events and demonstrates the sufficiency of the usual criteria. He formulates supplementary postulates necessary to define the survival functions of the mathematics of insurance and gives a relation between the survival functions of groups and those of individuals." p. 28 of:

Publications

*
Lebensversicherungsmathematik
' (Life Insurance Mathematics), Enzyklopädie der Mathematischen Wissenschaften, 1901
*
Continuierliche Gruppen von quadratischen Transformationen der Ebene
' (Continuous groups of quadratic transformations of the plane), Göttinger Nachrichten, 1896, pp. 44–54
*
Ein Ausgleichungsproblem
' (A stabilization problem), Göttinger Nachrichten, 1899, pp. 260–271
* ''Die Grundbegriffe der Wahrscheinlichkeitsrechnung in ihrer Anwendung auf die Lebensversicherung'' (The basic concepts of probability theory and its applications to life insurance), Atti del IV Congresso internazionale dei Matematici III, Rome 1909, pp. 244–278
* ''Anthropometrie und Lebensversicherung'' (Anthropometry and life insurance), Zeitschrift für die gesamte Versicherungs-Wissenschaft 14, 1914, pp. 743–786

References

* Ulrich Krengel, ''100 Jahre Versicherungsmathematik an den Universitäten'' (100 years of actuarial science at universities), Blätter der deutschen Gesellschaft für Versicherungsmathematik 22, 1996, p. 663
* Ulrich Krengel
On the contributions of Bohlmann to probability theory
(PDF: 6.4 MB)
Electronic Journal for History of Probability and Statistics
2011
* Peter Koch, ''Geschichte der Versicherungswissenschaft in Deutschland'' (History of actuarial science in Germany), Verlag Versicherungswirtschaft, Karlsruhe 1998,

External links

*
Geschichte der Stochastik in Göttingen
' (History of Stochastics in Göttingen), Ulrich Krengel and Axel Munk

{{DEFAULTSORT:Bohlmann, Georg
20th-century German mathematicians
19th-century German mathematicians
Probability theorists
1869 births
1928 deaths
Mathematicians from the German Empire