The Philosopher
Andrzej Mostowski
The face
The background
- Nationality:
- Polish
- Schools:
- Warsaw school of mathematics
- Branchs:
- Logic, Foundations of mathematics, Recursion theory, Model theory, Set theory, Descriptive set theory
- Period:
- 20th century
The synopsis
Andrzej Mostowski (1 November 1913 – 22 August 1975) was a Polish mathematician who made significant contributions to logic and the foundations of mathematics. Born in Lemberg, Austria-Hungary, he studied at the University of Warsaw, where he was influenced by Kazimierz Kuratowski, Adolf Lindenbaum, and Alfred Tarski. He earned his Ph.D. in 1939 under the supervision of Kuratowski and Tarski. During World War II, he worked in the Underground Warsaw University and narrowly escaped a Nazi concentration camp. After the war, he returned to the University of Warsaw, where he remained until his death. Mostowski was a member of the Polish Academy of Sciences and a prominent figure in the Warsaw School of Mathematics. His research primarily focused on recursion theory, undecidability, first-order logic, and model theory. He is perhaps best remembered for the Mostowski collapse lemma. He was awarded the Knight's Cross of the Order of Polonia Restituta in 1954 and was elected a real member of the Polish Academy of Sciences in 1963. His son, Tadeusz Mostowski, also became a mathematician.
The works
Set Theory. With an Introduction to Descriptive Set Theory
Sentences Undecidable in Formalized Arithmetic: An Exposition of the Theory of Kurt Godel
Constructible Sets with Applications
Über die Unabhängigkeit des Wohlordnungssatzes vom Ordnungsprinzip.
On definable sets of positive integers
Un théorème sur les nombres cos 2πk/n
Sur un problème de la théorie des groupes et son rapport à la topologie
Groups connected with Boolean algebras. (Partial solution of the problem P92)
On direct products of theories
Models of axiomatic systems
On a system of axioms which has no recursively enumerable arithmetic model
A formula with no recursively enumerable model
Examples of sets definable by means of two and three quantifiers
Contributions to the theory of definable sets and functions
Models of Axiomatic Theories Admitting Automorphisms
L'oeuvre scientifique de Jan Łukasiewicz dans le domaine de la logique mathématique
On a generalization of quantifiers
On computable sequences
The classical and ω-complete arithmetic
On a problem of W. Kinna and K. Wagner
A generalization of the incompleteness theorem
Axiomatizability of some many valued predicate calculi
On ω-models which are not β-models