Karl Schröter
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Karl Walter Schröter (7 September 1905 in Biebrich near
Wiesbaden Wiesbaden (; ) is the capital of the German state of Hesse, and the second-largest Hessian city after Frankfurt am Main. With around 283,000 inhabitants, it is List of cities in Germany by population, Germany's 24th-largest city. Wiesbaden form ...
– 22 August 1977 in
Berlin Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population withi ...
) was a German
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...
and
logician Logic is the study of correct reasoning. It includes both formal and informal logic. Formal logic is the study of deductively valid inferences or logical truths. It examines how conclusions follow from premises based on the structure of arg ...
. Later on, after the war, he made important contributions concerning semantic consequences () and
provability logic Provability logic is a modal logic, in which the box (or "necessity") operator is interpreted as 'it is provable that'. The point is to capture the notion of a proof predicate of a reasonably rich formal theory, such as Peano arithmetic. Examples ...
(). He worked as a mathematical theoretician and
cryptanalyst Cryptanalysis (from the Greek ''kryptós'', "hidden", and ''analýein'', "to analyze") refers to the process of analyzing information systems in order to understand hidden aspects of the systems. Cryptanalysis is used to breach cryptographic se ...
for the civilian Pers Z S, the cipher bureau of the Foreign Office (), from the spring of 1941 to the end of
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
.


Education

From 1928 to 1936, Schröter studied
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
,
physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
,
philosophy Philosophy ('love of wisdom' in Ancient Greek) is a systematic study of general and fundamental questions concerning topics like existence, reason, knowledge, Value (ethics and social sciences), value, mind, and language. It is a rational an ...
, and
psychology Psychology is the scientific study of mind and behavior. Its subject matter includes the behavior of humans and nonhumans, both consciousness, conscious and Unconscious mind, unconscious phenomena, and mental processes such as thoughts, feel ...
at the Universities of
Göttingen Göttingen (, ; ; ) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. According to the 2022 German census, t ...
,
Heidelberg Heidelberg (; ; ) is the List of cities in Baden-Württemberg by population, fifth-largest city in the States of Germany, German state of Baden-Württemberg, and with a population of about 163,000, of which roughly a quarter consists of studen ...
and
Frankfurt am Main Frankfurt am Main () is the most populous city in the States of Germany, German state of Hesse. Its 773,068 inhabitants as of 2022 make it the List of cities in Germany by population, fifth-most populous city in Germany. Located in the forela ...
. Due to family reasons he had to interrupt his studies several times. He then worked in the
mathematical logic Mathematical logic is the study of Logic#Formal logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic com ...
group at the
University of Münster The University of Münster (, until 2023 , WWU) is a public research university located in the city of Münster, North Rhine-Westphalia in Germany. With more than 43,000 students and over 120 fields of study in 15 departments, it is Germany's ...
led by
Heinrich Scholz Heinrich Scholz (; 17 December 1884 – 30 December 1956) was a German logician, philosopher, and Protestant theologian. He was a peer of Alan Turing who mentioned Scholz when writing with regard to the reception of "On Computable Numbers, wit ...
. From 1 April 1939 he was a
research assistant A research assistant (RA) is a researcher employed, often on a temporary contract, by a university, research institute, or privately held organization to provide assistance in academic or private research endeavors. Research assistants work under ...
at the Department of Philosophy at the
University of Münster The University of Münster (, until 2023 , WWU) is a public research university located in the city of Münster, North Rhine-Westphalia in Germany. With more than 43,000 students and over 120 fields of study in 15 departments, it is Germany's ...
. On 20 December 1941 he took his examination for promotion of
Dr. phil Phillip Calvin McGraw (born September 1, 1950), also known as Dr. Phil, is an American television personality and author who is best known for hosting the talk show '' Dr. Phil''. He holds a doctorate in clinical psychology, though he ceased ...
under the logician Heinrich Scholz studying mathematics, logic, and
calculus Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the ...
with a thesis titled ''Ein allgemeiner Kalkülbegriff'' (). On 1 April 1941 he took a leave of absence to join Pers Z S, the Foreign Office civilian cipher bureau, working as a mathematician. However, even during this time he continued to work on problems of basic mathematical research.


Career

On 19 March 1943 he presented the application to the Faculty of Philosophy and Natural Sciences, with the publication ''Axiomatisierung der Fregeschen Aussagenkalküle'' (), to be admitted to his Habilitation. On the basis of the positive opinions of
Heinrich Scholz Heinrich Scholz (; 17 December 1884 – 30 December 1956) was a German logician, philosopher, and Protestant theologian. He was a peer of Alan Turing who mentioned Scholz when writing with regard to the reception of "On Computable Numbers, wit ...
and Adolf Kratzer, the degree of Doctor ''rerum naturalium habilitatus'' was awarded to him by certificate of 22 May 1943. On 9 June 1943 the report on the completed Habilitation was given to the Reich Minister. On 1, 2 and 3 July 1943 he held a public trial lecture on the topic ''Der Nutzen der mathematischen Logik für die Mathematik'' () as a prerequisite for a civil service position as a lecturer. On 18 August 1943 he was appointed lecturer with the authorisation to teach "Mathematical Logic and Fundamental Research", all the while still being employed in Berlin as a "scientific assistant worker" at Pers Z S. Karl Schröter remained at the University of Münster from 31 December 1943 until his contract was up on 31 April 1945, when he was taken prisoner by the
Counterintelligence Corps The Counter Intelligence Corps (Army CIC) was a World War II and early Cold War intelligence agency within the United States Army consisting of highly trained special agents. Its role was taken over by the U.S. Army Intelligence Corps in 1961 and ...
(CIC). From early May to 30 September 1945 he appeared before a joint Anglo-American Commission, first in
London London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
, then in
Marburg Marburg (; ) is a college town, university town in the States of Germany, German federal state () of Hesse, capital of the Marburg-Biedenkopf Districts of Germany, district (). The town area spreads along the valley of the river Lahn and has ...
, concerning his work at Pers Z S during the war. After completion, he was dismissed in Marburg after the CIC had determined his political attitude. In the winter semester of 1945/46 he was affiliated as a lecturer in Münster. From May 1946 until his appointment to Berlin, Schröter was working at Münster as a substitute for the Review Committee of the
Denazification Denazification () was an Allied initiative to rid German and Austrian society, culture, press, economy, judiciary, and politics of the Nazi ideology following the Second World War. It was carried out by removing those who had been Nazi Par ...
Main Committee at the Westfälische Landesuniversität. In 1948, Karl Schröter was appointed Professor Extraordinarius for mathematical logic at Humboldt University in Berlin. In 1967, he became director of the Institute for pure mathematics of the
German Academy of Sciences at Berlin The German Academy of Sciences at Berlin, , in 1972 renamed the Academy of Sciences of the GDR (''Akademie der Wissenschaften der DDR (AdW)''), was the most eminent Research institute, research institution of East Germany (German Democratic Repub ...
. He was elected corresponding member in 1962 and two years later ordinary member of the German Academy of Sciences at Berlin. In 1955, Schröter together with
Günter Asser Günter Asser (26 February 1926, Berlin – 23 March 2015) was a professor emeritus of logic and mathematics at the University of Greifswald. He published numerous volumes on philosophers and mathematicians. His own research was in computabili ...
founded the ''Zeitschrift für Mathematische Logik und Grundlagen der Mathematik'' () which since 1991 is known as ''Mathematical Logic Quarterly''.


Publications

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External links


Mathematical Logic Quarterly


References

{{DEFAULTSORT:Schröter, Karl 1905 births 1977 deaths German logicians Mathematical logicians 20th-century German mathematicians German cryptographers Members of the German Academy of Sciences at Berlin