Andrzej Mostowski

Andrzej Mostowski (1 November 1913 – 22 August 1975) was a Polish mathematician. He is perhaps best remembered for the Mostowski collapse lemma.

Andrzej Mostowski
Mostowski in 1973
Born	1 November 1913 Lemberg, Austria-Hungary
Died	22 August 1975 (aged 61) Vancouver, British Columbia, Canada
Nationality	Poland
Alma mater	University of Warsaw
Known for	Arithmetical hierarchy Mostowski collapse lemma
Scientific career
Fields	Mathematics
Institutions	University of Warsaw
Doctoral advisor	Kazimierz Kuratowski Alfred Tarski
Doctoral students	Andrzej Ehrenfeucht Moshé Machover Helena Rasiowa Roman Sikorski

Biography

Born in Lemberg, Austria-Hungary, Mostowski entered University of Warsaw in 1931. He was influenced by Kuratowski, Lindenbaum, and Tarski. His Ph.D. came in 1939, officially directed by Kuratowski but in practice directed by Tarski who was a young lecturer at that time.

He became an accountant after the German invasion of Poland but continued working in the Underground Warsaw University. After the Warsaw uprising of 1944, the Nazis tried to put him in a concentration camp. With the help of some Polish nurses, he escaped to a hospital, choosing to take bread with him rather than his notebook containing his research. Some of this research he reconstructed after the War, however much of it remained lost.

His work was largely on recursion theory and undecidability. From 1946 until his death in Vancouver, British Columbia, Canada, he worked at the University of Warsaw. Much of his work, during that time, was on first order logic and model theory.

His son Tadeusz is also a mathematician working on differential geometry.[1] With Krzysztof Kurdyka and Adam Parusinski, Tadeusz Mostowski solved René Thom's gradient conjecture in 2000.

See also

• List of Polish People
• Mostowski model

References

1. "Archived copy". Archived from the original on 2011-06-13. Retrieved 2010-02-23.CS1 maint: archived copy as title (link)

Bibliography

Books by Mostowski

• Kuratowski, Kazimierz; Mostowski, Andrzej (1976) [1968], Set theory. With an introduction to descriptive set theory, Studies in Logic and the Foundations of Mathematics, 86 (Second ed.), Amsterdam-New York-Oxford: North-Holland Publishing Co., MR 0485384
• Andrzej Mostowski, Sentences Undecidable in Formalized Arithmetic: An Exposition of the Theory of Kurt Godel, North-Holland, Amsterdam, 1952, ISBN 978-0313231513
• Andrezj Mostowski, Constructible Sets with Applications, North-Holland, Amsterdam, 1969.

Papers by Mostowski

• Andrzej Mostowski, "Über die Unabhängigkeit des Wohlordnungssatzes vom Ordnungsprinzip." Fundamenta Mathematicae Vol. 32, No.1, ss. 201-252, (1939).
• Andrzej Mostowski, "On definable sets of positive integers", Fundamenta Mathematicae Vol. 34, No. 1, ss. 81-112, (1947).
• Andrzej Mostowski, "Un théorème sur les nombres cos 2πk/n", Colloquium Mathematicae Vol. 1, No. 3, ss. 195-196, (1948).
• Casimir Kuratowski, Andrzej Mostowski, "Sur un problème de la théorie des groupes et son rapport à la topologie", Colloquium Mathematicae Vol. 2, No. 3-4, ss. 212-215, (1951).
• Andrzej Mostowski, "Groups connected with Boolean algebras. (Partial solution of the problem P92)", Colloquium Mathematicae Vol. 2, No. 3-4, ss. 216-219, (1951).
• Andrzej Mostowski, "On direct products of theories", Journal of Symbolic Logic, Vol. 17, No. 1, ss. 1-31, (1952).
• Andrzej Mostowski, "Models of axiomatic systems", Fundamenta Mathematicae Vol. 39, No. 1, ss. 133-158, (1952).
• Andrzej Mostowski, "On a system of axioms which has no recursively enumerable arithmetic model", Fundamenta Mathematicae Vol. 40, No. 1, ss. 56-61, (1953).
• Andrzej Mostowski, "A formula with no recursively enumerable model", Fundamenta Mathematicae Vol. 42, No. 1, ss. 125-140, (1955).
• Andrzej Mostowski, "Examples of sets definable by means of two and three quantifiers", Fundamenta Mathematicae Vol. 42, No. 2, ss. 259-270, (1955).
• Andrzej Mostowski, "Contributions to the theory of definable sets and functions", Fundamenta Mathematicae Vol. 42, No. 2, ss. 271-275, (1955).
• Andrzej Ehrenfeucht, Andrzej Mostowski, "Models of Axiomatic Theories Admitting Automorphisms", Fundamenta Mathematicae, Vol. 43, No. 1, ss. 50-68 (1956).
• Andrzej Mostowski, "L'oeuvre scientifique de Jan Łukasiewicz dans le domaine de la logique mathématique", Fundamenta Mathematicae Vol. 44, No. 1, ss. 1-11, (1957).
• Andrzej Mostowski, "On a generalization of quantifiers", Fundamenta Mathematicae Vol. 44, No. 1, ss. 12-36, (1957).
• Andrzej Mostowski, "On computable sequences", Fundamenta Mathematicae Vol. 44, No. 1, ss. 37-51, (1957).
• Andrzej Grzegorczyk, Andrzej Mostowski and Czesław Ryll-Nardzewski, "The classical and ω-complete arithmetic", Journal of Symbolic Logic Vol. 23, No. 2, ss. 188-206, (1958).
• Andrzej Mostowski, "On a problem of W. Kinna and K. Wagner", Colloquium Mathematicae Vol. 6, No. 1, ss. 207-208, (1958).
• Andrzej Mostowski, "A generalization of the incompleteness theorem", Fundamenta Mathematicae Vol. 49, No. 2, ss. 205-232, (1961).
• Andrzej Mostowski, "Axiomatizability of some many valued predicate calculi", Fundamenta Mathematicae Vol. 50, No. 2, ss. 165-190, (1961).
• Yoshindo Suzuki, Andrzej Mostowski, "On ω-models which are not β-models", Fundamenta Mathematicae Vol. 65, No. 1, ss. 83-93, (1969).

External links

• O'Connor, John J.; Robertson, Edmund F., "Andrzej Mostowski", MacTutor History of Mathematics archive, University of St Andrews.