Warsaw School (mathematics)

Last updated

Warsaw School of Mathematics is the name given to a group of mathematicians who worked at Warsaw, Poland, in the two decades between the World Wars, especially in the fields of logic, set theory, point-set topology and real analysis. They published in the journal [[Fundamenta Mathematicae [1] ]], founded in 1920—one of the world's first specialist pure-mathematics journals. It was in this journal, in 1933, that Alfred Tarski—whose illustrious career would a few years later take him to the University of California, Berkeley—published his celebrated theorem on the undefinability of the notion of truth.

Notable members of the Warsaw School of Mathematics have included:

Additionally, notable logicians of the Lwów–Warsaw School of Logic, working at Warsaw, have included:

Fourier analysis has been advanced at Warsaw by:

See also

Related Research Articles

<span class="mw-page-title-main">Stefan Banach</span> Polish mathematician (1892–1945)

Stefan Banach was a Polish mathematician who is generally considered one of the 20th century's most important and influential mathematicians. He was the founder of modern functional analysis, and an original member of the Lwów School of Mathematics. His major work was the 1932 book, Théorie des opérations linéaires, the first monograph on the general theory of functional analysis.

<span class="mw-page-title-main">Kazimierz Kuratowski</span> Polish mathematician and logician

Kazimierz Kuratowski was a Polish mathematician and logician. He was one of the leading representatives of the Warsaw School of Mathematics. He worked as a professor at the University of Warsaw and at the Mathematical Institute of the Polish Academy of Sciences. Between 1946 and 1953, he served as President of the Polish Mathematical Society.

<span class="mw-page-title-main">Alfred Tarski</span> Polish–American mathematician (1901–1983)

Alfred Tarski was a Polish-American logician and mathematician. A prolific author best known for his work on model theory, metamathematics, and algebraic logic, he also contributed to abstract algebra, topology, geometry, measure theory, mathematical logic, set theory, and analytic philosophy.

<span class="mw-page-title-main">Hugo Steinhaus</span> Polish mathematician (1887–1972)

Hugo Dyonizy Steinhaus was a Polish mathematician and educator. Steinhaus obtained his PhD under David Hilbert at Göttingen University in 1911 and later became a professor at the Jan Kazimierz University in Lwów, where he helped establish what later became known as the Lwów School of Mathematics. He is credited with "discovering" mathematician Stefan Banach, with whom he gave a notable contribution to functional analysis through the Banach–Steinhaus theorem. After World War II Steinhaus played an important part in the establishment of the mathematics department at Wrocław University and in the revival of Polish mathematics from the destruction of the war.

<span class="mw-page-title-main">Jan Łukasiewicz</span> Polish logician and philosopher (1878–1956)

Jan Łukasiewicz was a Polish logician and philosopher who is best known for Polish notation and Łukasiewicz logic. His work centred on philosophical logic, mathematical logic and history of logic. He thought innovatively about traditional propositional logic, the principle of non-contradiction and the law of excluded middle, offering one of the earliest systems of many-valued logic. Contemporary research on Aristotelian logic also builds on innovative works by Łukasiewicz, which applied methods from modern logic to the formalization of Aristotle's syllogistic.

<span class="mw-page-title-main">Solomon Feferman</span> American philosopher and mathematician

Solomon Feferman was an American philosopher and mathematician who worked in mathematical logic. In addition to his prolific technical work in proof theory, computability theory, and set theory, he was known for his contributions to the history of logic and as a vocal proponent of the philosophy of mathematics known as predicativism, notably from an anti-platonist stance.

<span class="mw-page-title-main">Stanisław Saks</span> Polish mathematician (1897–1942)

Stanisław Saks was a Polish mathematician and university tutor, a member of the Lwów School of Mathematics, known primarily for his membership in the Scottish Café circle, an extensive monograph on the theory of integrals, his works on measure theory and the Vitali–Hahn–Saks theorem.

<span class="mw-page-title-main">Stanisław Leśniewski</span> Polish mathematician and philosopher

Stanisław Leśniewski was a Polish mathematician, philosopher and logician.

<span class="mw-page-title-main">Lwów School of Mathematics</span> Research collective

The Lwów school of mathematics was a group of Polish mathematicians who worked in the interwar period in Lwów, Poland. The mathematicians often met at the famous Scottish Café to discuss mathematical problems, and published in the journal Studia Mathematica, founded in 1929. The school was renowned for its productivity and its extensive contributions to subjects such as point-set topology, set theory and functional analysis. The biographies and contributions of these mathematicians were documented in 1980 by their contemporary, Kazimierz Kuratowski in his book A Half Century of Polish Mathematics: Remembrances and Reflections.

The Kraków School of Mathematics was a subgroup of the Polish School of Mathematics represented by mathematicians from the Kraków universities—Jagiellonian University, and the AGH University of Science and Technology–active during the interwar period (1918–1939). Their areas of study were primarily classical analysis, differential equations, and analytic functions.

<span class="mw-page-title-main">Adolf Lindenbaum</span> Polish-Jewish mathematician and logician

Adolf Lindenbaum was a Polish-Jewish logician and mathematician best known for Lindenbaum's lemma and Lindenbaum–Tarski algebras.

<span class="mw-page-title-main">Leon Chwistek</span> Polish philosopher and mathematician

Leon Chwistek was a Polish avant-garde painter, theoretician of modern art, literary critic, logician, philosopher and mathematician.

The Lwów–Warsaw School was an interdisciplinary school founded by Kazimierz Twardowski in 1895 in Lemberg, Austro-Hungary.

The Polish School of Mathematics was the mathematics community that flourished in Poland in the 20th century, particularly during the Interbellum between World Wars I and II.

<span class="mw-page-title-main">Mojżesz Presburger</span>

Mojżesz Presburger, or Prezburger, was a Polish Jewish mathematician, logician, and philosopher. He was a student of Alfred Tarski, Jan Łukasiewicz, Kazimierz Ajdukiewicz, and Kazimierz Kuratowski. He is known for, among other things, having invented Presburger arithmetic as a student in 1929 – a form of arithmetic in which one allows induction but removes multiplication, to obtain a decidable theory.

The history of philosophy in Poland parallels the evolution of philosophy in Europe in general.

<span class="mw-page-title-main">Jan Woleński</span> Polish philosopher

Jan Hertrich-Woleński is a Polish philosopher specializing in the history of the Lwów–Warsaw school of logic and in analytic philosophy.

Polish Logic is an anthology of papers by several authors—Kazimierz Ajdukiewicz, Leon Chwistek, Stanislaw Jaskowski, Zbigniew Jordan, Tadeusz Kotarbinski, Stanisław Leśniewski, Jan Łukasiewicz, Jerzy Słupecki, and Mordchaj Wajsberg—published in 1967 and covering the period 1920–1939. The work focuses on the contributions of Polish logicians, more particularly, mathematical logicians, to modern logic.

Wanda Szmielew née Montlak was a Polish mathematical logician who first proved the decidability of the first-order theory of abelian groups.

Henryk Hiż was a Polish analytical philosopher specializing in linguistics, philosophy of language, logic, mathematics and ethics, active for most of his life in the United States, one of the youngest representatives of the Lwów–Warsaw school.

References