Georg Kreisel
FRS (September 15, 1923 – March 1, 2015) was an
Austrian-born
mathematical logician who studied and worked in the
United Kingdom and
America
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territorie ...
.
Biography
Kreisel was born in
Graz
Graz (; sl, Gradec) is the capital city of the Austrian state of Styria and second-largest city in Austria after Vienna. As of 1 January 2021, it had a population of 331,562 (294,236 of whom had principal-residence status). In 2018, the popul ...
and came from a
Jewish background; his family sent him to the
United Kingdom before the
Anschluss in 1938. He studied mathematics at
Trinity College, Cambridge, and then, during
World War II, worked on
military subjects. Kreisel never took a Ph.D., though much later, in 1962, he was awarded the Cambridge degree of
Sc.D., a `higher doctorate' given on the basis of published research.
He taught at the
University of Reading from 1949 until 1954 and then worked at the
Institute for Advanced Study from 1955 to 1957. He returned to Reading in 1957, but then taught at
Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
from 1958-1959. Then back at Reading for the year 1959-1960, and then the
University of Paris 1960-1962. Kreisel was appointed a professor at
Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
in 1962 and remained on the faculty there until he retired in 1985.
Kreisel worked in various areas of logic, and especially in
proof theory
Proof theory is a major branchAccording to Wang (1981), pp. 3–4, proof theory is one of four domains mathematical logic, together with model theory, axiomatic set theory, and recursion theory. Jon Barwise, Barwise (1978) consists of four correspo ...
, where he is known for his so-called "
unwinding" program, whose aim was to extract
constructive content from superficially non-constructive
proof
Proof most often refers to:
* Proof (truth), argument or sufficient evidence for the truth of a proposition
* Alcohol proof, a measure of an alcoholic drink's strength
Proof may also refer to:
Mathematics and formal logic
* Formal proof, a con ...
s.
Kreisel was elected to the
Royal Society in 1966;
Kreisel remained a close friend of
Francis Crick
Francis Harry Compton Crick (8 June 1916 – 28 July 2004) was an English molecular biologist, biophysicist, and neuroscientist. He, James Watson, Rosalind Franklin, and Maurice Wilkins played crucial roles in deciphering the helical struc ...
whom he had met in the Royal Navy during WWII.
While a student at Cambridge, Kreisel was the student most respected by
Ludwig Wittgenstein.
Ray Monk writes, "In 1944--when Kreisel was still only twenty-one--Wittgenstein shocked
Rush Rhees by declaring Kreisel to be the most able philosopher he had ever met who was also a mathematician."
Kreisel was also a close friend of the Anglo-Irish philosopher and novelist
Iris Murdoch. They met at Cambridge in 1947 during Murdoch's year of study there.
Peter Conradi reports that Murdoch transcribed Kreisel's letters into her journals over the next fifty years. According to Conradi, "For half a century she nonetheless records variously Kreisel's brilliance, wit and sheer 'dotty' solipsistic strangeness, his amoralism, cruelty, ambiguous vanity and obscenity." Murdoch dedicated her 1971 novel ''
An Accidental Man'' to Kreisel and he became a (partial) model for several characters in other novels, including Marcus Vallar in ''
The Message to the Planet'' and Guy Openshaw in ''
Nuns and Soldiers
''Nuns and Soldiers'' is a 1980 novel by Iris Murdoch. The setting is England and two of the main characters are Gertrude, a widow, and Anne, an ex-nun.
Plot
Guy Openshaw is 44 years old and on his death bed. Cancer is coming down hard on Gu ...
''.*
After retirement Kreisel lived in
Salzburg, Austria. He wrote several biographies of mathematicians including
Kurt Gödel
Kurt Friedrich Gödel ( , ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel had an imme ...
,
Bertrand Russell and
Luitzen Egbertus Jan Brouwer. He died in Salzburg, aged 91.
Anecdotes
When Kreisel was teaching at
The University of Reading
The University of Reading is a public university in Reading, Berkshire, England. It was founded in 1892 as University College, Reading, a University of Oxford extension college. The institution received the power to grant its own degrees in 192 ...
he would frequently take the train into London. There was a particularly fast train that was timed just right for the shows in London, and he would go to the station at that time. He checked the timetable one day, and that train was canceled. But out of habit one day he showed up at the station at the usual time and the train was there. It seems that it was going from
Bristol to London, stopping at Reading only to get water. He got on the train anyway, and from then on took that train regularly. One day he was accosted by the conductor after he got on. "The train doesn't stop here sir!" "In that case I didn't get on here."
[''Kreiseliana: About and Around Georg Kreisel'', ed. by Piergiorgio Odifreddi, Wellesley, MA, 1996, (Festschrift)]
See also
*
Kreisel–Putnam logic
References
External links
* Piergiorgio Odifreddi (ed.), ''Kreiseliana: About and Around George Kreisel'', Wellesley, Massachusetts: A. K. Peters, 1996. .
*
tp://ftp.cs.ru.nl/pub/CompMath.Found/kr.ps Kreisel, lambda calculus, a windmill and a castleContains personal recollections about Kreisel by his student
Henk Barendregt.
*
{{DEFAULTSORT:Kreisel, Georg
1923 births
Austrian mathematicians
20th-century British mathematicians
21st-century British mathematicians
Cambridge University Moral Sciences Club
Austrian logicians
20th-century American mathematicians
21st-century American mathematicians
Fellows of the Royal Society
2015 deaths
Austrian emigrants to the United Kingdom
British emigrants to the United States