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Alfred Tarski

Index Alfred Tarski

Alfred Tarski (January 14, 1901 – October 26, 1983), born Alfred Teitelbaum,School of Mathematics and Statistics, University of St Andrews,, School of Mathematics and Statistics, University of St Andrews. [1]

176 relations: Abelian group, Abstract algebra, Adam Mickiewicz University in Poznań, Affine geometry, Alfred North Whitehead, Algebra Universalis, Algebraic logic, Alonzo Church, American Mathematical Monthly, American National Biography, Analytic philosophy, Andrzej Ehrenfeucht, Andrzej Mostowski, Annulus (mathematics), Ashkenazi Jews, Association for Symbolic Logic, Atheism, Automorphism, Axiom of choice, Axiomatic system, Ball (mathematics), Banach–Tarski paradox, Berkeley, California, Bertrand Russell, Binary relation, Biology, Bjarni Jónsson, British Academy, Buffalo, New York, Cambridge University Press, Cardinal number, Catholic Church, Charles Sanders Peirce, Chen Chung Chang, City College of New York, Congress Poland, Correspondence theory of truth, Cylindric algebra, Dana Scott, Decidability (logic), Deflationary theory of truth, Dictionary of Scientific Biography, Domain of discourse, Donald Davidson (philosopher), Erich Leo Lehmann, Erlangen program, Euclidean geometry, Evert Willem Beth, Felix Klein, Finitary relation, ..., First-order logic, Formal language, Formal system, Gödel's incompleteness theorems, Geometry, Gottlob Frege, Guggenheim Fellowship, Haim Gaifman, Harvard University, Hilbert's axioms, History of the Jews in Poland, Homomorphism, Honorary degree, Howard Jerome Keisler, If and only if, Institut Henri Poincaré, Institute for Advanced Study, Interior algebra, Intersection (set theory), Invasion of Poland, Ivor Grattan-Guinness, Jan Łukasiewicz, Jan Woleński, John Corcoran (logician), John Etchemendy, José Miguel Sagüillo, Journal of Symbolic Logic, Julia Robinson, Karl Menger, Karl Popper, Kenneth Arrow, Kurt Gödel, Lattice (order), Leśniewski, Leon Chwistek, Leon Henkin, List of things named after Alfred Tarski, Logic, Logical conjunction, Logical consequence, Logical disjunction, Lwów–Warsaw school, Mario Pieri, Marseille, Mathematical logic, Mathematician, Mathematics, Measure (mathematics), Mereology, Metamathematics, Miller Institute, Model theory, National Academy of Sciences, Natural number, Nazism, Negation, Order type, Oxford University Press, Partially ordered set, Patrick Suppes, Paul Cézanne University, Peano axioms, Philosophy, Philosophy of language, Point (geometry), Polish language, Polish–Soviet War, Polygon, Pontifical Catholic University of Chile, Primitive notion, Princeton, New Jersey, Principia Mathematica, Projective geometry, Propositional calculus, Quantifier (logic), Quantifier elimination, Real closed field, Real number, Relation algebra, Richard Montague, Robert Lawson Vaught, Roger Lyndon, Roger Maddux, Royal Netherlands Academy of Arts and Sciences, Rudolf Carnap, Semantic theory of truth, Semantics, Set theory, Solid geometry, Solomon Feferman, Stanford Encyclopedia of Philosophy, Stanisław Leśniewski, Stefan Banach, Stefan Mazurkiewicz, Subset, T-schema, Tadeusz Kotarbiński, Tarski monster group, Tarski's axioms, Tarski's undefinability theorem, Topology, Truth, Truth function, Truth value, Two-element Boolean algebra, Type theory, Union (set theory), United States, Unity of science, Universe (mathematics), University College London, University of Calgary, University of California, Berkeley, University of California, Los Angeles, University of Lviv, University of Vienna, University of Warsaw, Vienna Circle, Wacław Sierpiński, Wanda Szmielew, Warsaw, Warsaw School (mathematics), Wilfrid Hodges, Willard Van Orman Quine, World War II, Zermelo–Fraenkel set theory. Expand index (126 more) »

Abelian group

In abstract algebra, an abelian group, also called a commutative group, is a group in which the result of applying the group operation to two group elements does not depend on the order in which they are written.

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Abstract algebra

In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.

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Adam Mickiewicz University in Poznań

Adam Mickiewicz University in Poznań (Uniwersytet im., Polish abbreviation UAM) is one of the major Polish universities, located in the city of Poznań, Greater Poland, in the west of the country.

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Affine geometry

In mathematics, affine geometry is what remains of Euclidean geometry when not using (mathematicians often say "when forgetting") the metric notions of distance and angle.

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Alfred North Whitehead

Alfred North Whitehead (15 February 1861 – 30 December 1947) was an English mathematician and philosopher.

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Algebra Universalis

Algebra Universalis is an international scientific journal focused on universal algebra and lattice theory.

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Algebraic logic

In mathematical logic, algebraic logic is the reasoning obtained by manipulating equations with free variables.

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Alonzo Church

Alonzo Church (June 14, 1903 – August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science.

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American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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American National Biography

The American National Biography (ANB) is a 24-volume biographical encyclopedia set that contains about 17,400 entries and 20 million words, first published in 1999 by Oxford University Press under the auspices of the American Council of Learned Societies.

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Analytic philosophy

Analytic philosophy (sometimes analytical philosophy) is a style of philosophy that became dominant in the Western world at the beginning of the 20th century.

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Andrzej Ehrenfeucht

Andrzej Ehrenfeucht (born August 8, 1932) is a Polish American mathematician and computer scientist.

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Andrzej Mostowski

Andrzej Mostowski (1 November 1913 – 22 August 1975) was a Polish mathematician.

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Annulus (mathematics)

In mathematics, an annulus (the Latin word for "little ring" is anulus/annulus, with plural anuli/annuli) is a ring-shaped object, a region bounded by two concentric circles.

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Ashkenazi Jews

Ashkenazi Jews, also known as Ashkenazic Jews or simply Ashkenazim (אַשְׁכְּנַזִּים, Ashkenazi Hebrew pronunciation:, singular:, Modern Hebrew:; also), are a Jewish diaspora population who coalesced in the Holy Roman Empire around the end of the first millennium.

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Association for Symbolic Logic

The Association for Symbolic Logic (ASL) is an international organization of specialists in mathematical logic and philosophical logic.

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Atheism

Atheism is, in the broadest sense, the absence of belief in the existence of deities.

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Automorphism

In mathematics, an automorphism is an isomorphism from a mathematical object to itself.

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Axiom of choice

In mathematics, the axiom of choice, or AC, is an axiom of set theory equivalent to the statement that the Cartesian product of a collection of non-empty sets is non-empty.

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Axiomatic system

In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems.

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Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

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Banach–Tarski paradox

The Banach–Tarski paradox is a theorem in set-theoretic geometry, which states the following: Given a solid ball in 3‑dimensional space, there exists a decomposition of the ball into a finite number of disjoint subsets, which can then be put back together in a different way to yield two identical copies of the original ball.

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Berkeley, California

Berkeley is a city on the east shore of San Francisco Bay in northern Alameda County, California.

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Bertrand Russell

Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic, political activist, and Nobel laureate.

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Binary relation

In mathematics, a binary relation on a set A is a set of ordered pairs of elements of A. In other words, it is a subset of the Cartesian product A2.

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Biology

Biology is the natural science that studies life and living organisms, including their physical structure, chemical composition, function, development and evolution.

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Bjarni Jónsson

Bjarni Jónsson (February 15, 1920 – September 30, 2016) was an Icelandic mathematician and logician working in universal algebra, lattice theory, model theory and set theory.

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British Academy

The British Academy is the United Kingdom's national academy for the humanities and the social sciences.

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Buffalo, New York

Buffalo is the second largest city in the state of New York and the 81st most populous city in the United States.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Cardinal number

In mathematics, cardinal numbers, or cardinals for short, are a generalization of the natural numbers used to measure the cardinality (size) of sets.

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Catholic Church

The Catholic Church, also known as the Roman Catholic Church, is the largest Christian church, with more than 1.299 billion members worldwide.

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Charles Sanders Peirce

Charles Sanders Peirce ("purse"; 10 September 1839 – 19 April 1914) was an American philosopher, logician, mathematician, and scientist who is sometimes known as "the father of pragmatism".

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Chen Chung Chang

Chen Chung Chang is a mathematician who works in model theory.

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City College of New York

The City College of the City University of New York (more commonly referred to as the City College of New York, or simply City College, CCNY, or City) is a public senior college of the City University of New York (CUNY) in New York City.

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Congress Poland

The Kingdom of Poland, informally known as Congress Poland or Russian Poland, was created in 1815 by the Congress of Vienna as a sovereign state of the Russian part of Poland connected by personal union with the Russian Empire under the Constitution of the Kingdom of Poland until 1832.

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Correspondence theory of truth

The correspondence theory of truth states that the truth or falsity of a statement is determined only by how it relates to the world and whether it accurately describes (i.e., corresponds with) that world.

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Cylindric algebra

The notion of cylindric algebra, invented by Alfred Tarski, arises naturally in the algebraization of equational first-order logic.

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Dana Scott

Dana Stewart Scott (born October 11, 1932) is the emeritus Hillman University Professor of Computer Science, Philosophy, and Mathematical Logic at Carnegie Mellon University; he is now retired and lives in Berkeley, California.

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Decidability (logic)

In logic, the term decidable refers to the decision problem, the question of the existence of an effective method for determining membership in a set of formulas, or, more precisely, an algorithm that can and will return a boolean true or false value that is correct (instead of looping indefinitely, crashing, returning "don't know" or returning a wrong answer).

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Deflationary theory of truth

In philosophy and logic, a deflationary theory of truth is one of a family of theories that all have in common the claim that assertions of predicate truth of a statement do not attribute a property called "truth" to such a statement.

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Dictionary of Scientific Biography

The Dictionary of Scientific Biography is a scholarly reference work that was published from 1970 through 1980.

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Domain of discourse

In the formal sciences, the domain of discourse, also called the universe of discourse, universal set, or simply universe, is the set of entities over which certain variables of interest in some formal treatment may range.

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Donald Davidson (philosopher)

Donald Herbert Davidson (March 6, 1917 – August 30, 2003) was an American philosopher.

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Erich Leo Lehmann

Erich Leo Lehmann (20 November 1917 – 12 September 2009) was an American statistician, who made a major contribution to nonparametric hypothesis testing.

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Erlangen program

The Erlangen program is a method of characterizing geometries based on group theory and projective geometry.

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Euclidean geometry

Euclidean geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements.

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Evert Willem Beth

Evert Willem Beth (7 July 1908 – 12 April 1964) was a Dutch philosopher and logician, whose work principally concerned the foundations of mathematics.

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Felix Klein

Christian Felix Klein (25 April 1849 – 22 June 1925) was a German mathematician and mathematics educator, known for his work with group theory, complex analysis, non-Euclidean geometry, and on the associations between geometry and group theory.

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Finitary relation

In mathematics, a finitary relation has a finite number of "places".

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First-order logic

First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.

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Formal language

In mathematics, computer science, and linguistics, a formal language is a set of strings of symbols together with a set of rules that are specific to it.

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Formal system

A formal system is the name of a logic system usually defined in the mathematical way.

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Gödel's incompleteness theorems

Gödel's incompleteness theorems are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system containing basic arithmetic.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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Gottlob Frege

Friedrich Ludwig Gottlob Frege (8 November 1848 – 26 July 1925) was a German philosopher, logician, and mathematician.

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Guggenheim Fellowship

Guggenheim Fellowships are grants that have been awarded annually since 1925 by the John Simon Guggenheim Memorial Foundation to those "who have demonstrated exceptional capacity for productive scholarship or exceptional creative ability in the arts".

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Haim Gaifman

Haim Gaifman is a logician, probability theorist, and philosopher of language.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Hilbert's axioms

Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry.

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History of the Jews in Poland

The history of the Jews in Poland dates back over 1,000 years.

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Homomorphism

In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type (such as two groups, two rings, or two vector spaces).

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Honorary degree

An honorary degree, in Latin a degree honoris causa ("for the sake of the honor") or ad honorem ("to the honor"), is an academic degree for which a university (or other degree-awarding institution) has waived the usual requirements, such as matriculation, residence, a dissertation and the passing of comprehensive examinations.

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Howard Jerome Keisler

Howard Jerome Keisler (born 3 December 1936) is an American mathematician, currently professor emeritus at University of Wisconsin–Madison.

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If and only if

In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.

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Institut Henri Poincaré

The Henri Poincaré Institute (or IHP for Institut Henri Poincaré) is a mathematics research institute part of Sorbonne University, in association with the Centre national de la recherche scientifique (CNRS).

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Institute for Advanced Study

The Institute for Advanced Study (IAS) in Princeton, New Jersey, in the United States, is an independent, postdoctoral research center for theoretical research and intellectual inquiry founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld.

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Interior algebra

In abstract algebra, an interior algebra is a certain type of algebraic structure that encodes the idea of the topological interior of a set.

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Intersection (set theory)

In mathematics, the intersection A ∩ B of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements.

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Invasion of Poland

The Invasion of Poland, known in Poland as the September Campaign (Kampania wrześniowa) or the 1939 Defensive War (Wojna obronna 1939 roku), and in Germany as the Poland Campaign (Polenfeldzug) or Fall Weiss ("Case White"), was a joint invasion of Poland by Germany, the Soviet Union, the Free City of Danzig, and a small Slovak contingent that marked the beginning of World War II.

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Ivor Grattan-Guinness

Ivor Owen Grattan-Guinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.

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Jan Łukasiewicz

Jan Łukasiewicz (21 December 1878 – 13 February 1956) was a Polish logician and philosopher born in Lwów, a city in the Galician kingdom of Austria-Hungary.

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Jan Woleński

Jan Hertrich-Woleński (also known as Jan Woleński; born 21 September 1940) is a Polish philosopher specializing in the history of the Lwów–Warsaw school of logic and in analytic philosophy.

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John Corcoran (logician)

John Corcoran (born 1937) is an American logician, philosopher, mathematician, and historian of logic.

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John Etchemendy

John W. Etchemendy (born 1952 in Reno, Nevada) was Stanford University's twelfth Provost.

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José Miguel Sagüillo

José Miguel Sagüillo is Catedrático and Professor of Logic at the University of Santiago de Compostela.

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Journal of Symbolic Logic

The Journal of Symbolic Logic is a peer-reviewed mathematics journal published quarterly by Association for Symbolic Logic.

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Julia Robinson

Julia Hall Bowman Robinson (December 8, 1919 – July 30, 1985) was an American mathematician renowned for her contributions to the fields of computability theory and computational complexity theory–most notably in decision problems.

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Karl Menger

Karl Menger (January 13, 1902 – October 5, 1985) was an Austrian-American mathematician.

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Karl Popper

Sir Karl Raimund Popper (28 July 1902 – 17 September 1994) was an Austrian-British philosopher and professor.

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Kenneth Arrow

Kenneth Joseph "Ken" Arrow (23 August 1921 – 21 February 2017) was an American economist, mathematician, writer, and political theorist.

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Kurt Gödel

Kurt Friedrich Gödel (April 28, 1906 – January 14, 1978) was an Austrian, and later American, logician, mathematician, and philosopher.

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Lattice (order)

A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.

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Leśniewski

Leśniewski (feminine Leśniewska) is a Polish surname.

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Leon Chwistek

Leon Chwistek (Kraków, Austria-Hungary, 13 June 1884 – 20 August 1944, Barvikha near Moscow, Russia) was a Polish avant-garde painter, theoretician of modern art, literary critic, logician, philosopher and mathematician.

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Leon Henkin

Leon Albert Henkin (April 19, 1921, Brooklyn, New York – November 1, 2006, Oakland, California), Oroville Mercury-Register, November 24, 2006.

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List of things named after Alfred Tarski

In the history of mathematics, Alfred Tarski (1901–1983) is one of the most important logicians.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Logical conjunction

In logic, mathematics and linguistics, And (∧) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true.

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Logical consequence

Logical consequence (also entailment) is a fundamental concept in logic, which describes the relationship between statements that hold true when one statement logically follows from one or more statements.

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Logical disjunction

In logic and mathematics, or is the truth-functional operator of (inclusive) disjunction, also known as alternation; the or of a set of operands is true if and only if one or more of its operands is true.

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Lwów–Warsaw school

The Lwów–Warsaw school (Szkoła lwowsko-warszawska) was a Polish school of thought founded by Kazimierz Twardowski in 1895 in Lwów.

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Mario Pieri

Mario Pieri (22 June 1860 – 1 March 1913) was an Italian mathematician who is known for his work on foundations of geometry.

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Marseille

Marseille (Provençal: Marselha), is the second-largest city of France and the largest city of the Provence historical region.

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Mathematical logic

Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Measure (mathematics)

In mathematical analysis, a measure on a set is a systematic way to assign a number to each suitable subset of that set, intuitively interpreted as its size.

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Mereology

In philosophy and mathematical logic, mereology (from the Greek μέρος meros (root: μερε- mere-, "part") and the suffix -logy "study, discussion, science") is the study of parts and the wholes they form.

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Metamathematics

Metamathematics is the study of mathematics itself using mathematical methods.

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Miller Institute

The Miller Institute for Basic Research in Science was established on the University of California, Berkeley campus in 1955 after Adolph C. Miller and his wife, Mary Sprague Miller, made a donation to the University.

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Model theory

In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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Nazism

National Socialism (Nationalsozialismus), more commonly known as Nazism, is the ideology and practices associated with the Nazi Party – officially the National Socialist German Workers' Party (Nationalsozialistische Deutsche Arbeiterpartei or NSDAP) – in Nazi Germany, and of other far-right groups with similar aims.

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Negation

In logic, negation, also called the logical complement, is an operation that takes a proposition P to another proposition "not P", written \neg P (¬P), which is interpreted intuitively as being true when P is false, and false when P is true.

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Order type

In mathematics, especially in set theory, two ordered sets X,Y are said to have the same order type just when they are order isomorphic, that is, when there exists a bijection (each element matches exactly one in the other set) f: X → Y such that both f and its inverse are strictly increasing (order preserving i.e. the matching elements are also in the correct order).

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Oxford University Press

Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.

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Partially ordered set

In mathematics, especially order theory, a partially ordered set (also poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set.

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Patrick Suppes

Patrick Colonel Suppes (March 17, 1922 – November 17, 2014) was an American philosopher who made significant contributions to philosophy of science, the theory of measurement, the foundations of quantum mechanics, decision theory, psychology and educational technology.

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Paul Cézanne University

Paul Cézanne University (also referred to as Paul Cézanne University Aix-Marseille III) (French: Université Paul Cézanne Aix-Marseille III) was a public research university based in the heart of Provence (South East of France), in both Aix-en-Provence and Marseille.

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Peano axioms

In mathematical logic, the Peano axioms, also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano.

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Philosophy

Philosophy (from Greek φιλοσοφία, philosophia, literally "love of wisdom") is the study of general and fundamental problems concerning matters such as existence, knowledge, values, reason, mind, and language.

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Philosophy of language

Philosophy of language explores the relationship between language and reality.

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Point (geometry)

In modern mathematics, a point refers usually to an element of some set called a space.

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Polish language

Polish (język polski or simply polski) is a West Slavic language spoken primarily in Poland and is the native language of the Poles.

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Polish–Soviet War

The Polish–Soviet War (February 1919 – March 1921) was fought by the Second Polish Republic, Ukrainian People's Republic and the proto-Soviet Union (Soviet Russia and Soviet Ukraine) for control of an area equivalent to today's western Ukraine and parts of modern Belarus.

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Polygon

In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.

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Pontifical Catholic University of Chile

The Pontifical Catholic University of Chile (UC) (Pontificia Universidad Católica de Chile) is one of the six Catholic Universities existing in the Chilean university system and one of the two Pontifical Universities in the country, along with the Pontifical Catholic University of Valparaíso.

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Primitive notion

In mathematics, logic, and formal systems, a primitive notion is an undefined concept.

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Princeton, New Jersey

Princeton is a municipality with a borough form of government in Mercer County, New Jersey, United States, that was established in its current form on January 1, 2013, through the consolidation of the Borough of Princeton and Princeton Township.

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Principia Mathematica

The Principia Mathematica (often abbreviated PM) is a three-volume work on the foundations of mathematics written by Alfred North Whitehead and Bertrand Russell and published in 1910, 1912, and 1913.

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Projective geometry

Projective geometry is a topic in mathematics.

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Propositional calculus

Propositional calculus is a branch of logic.

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Quantifier (logic)

In logic, quantification specifies the quantity of specimens in the domain of discourse that satisfy an open formula.

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Quantifier elimination

Quantifier elimination is a concept of simplification used in mathematical logic, model theory, and theoretical computer science.

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Real closed field

In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Relation algebra

In mathematics and abstract algebra, a relation algebra is a residuated Boolean algebra expanded with an involution called converse, a unary operation.

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Richard Montague

Richard Merritt Montague (September 20, 1930 – March 7, 1971) was an American mathematician and philosopher.

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Robert Lawson Vaught

Robert Lawson Vaught (April 4, 1926 – April 2, 2002) was a mathematical logician, and one of the founders of model theory.

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Roger Lyndon

Roger Conant Lyndon (December 18, 1917 – June 8, 1988) was an American mathematician, for many years a professor at the University of Michigan.

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Roger Maddux

Roger Maddux (born 1948) is an American mathematician specializing in algebraic logic.

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Royal Netherlands Academy of Arts and Sciences

The Royal Netherlands Academy of Arts and Sciences (Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands.

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Rudolf Carnap

Rudolf Carnap (May 18, 1891 – September 14, 1970) was a German-born philosopher who was active in Europe before 1935 and in the United States thereafter.

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Semantic theory of truth

A semantic theory of truth is a theory of truth in the philosophy of language which holds that truth is a property of sentences.

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Semantics

Semantics (from σημαντικός sēmantikós, "significant") is the linguistic and philosophical study of meaning, in language, programming languages, formal logics, and semiotics.

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Set theory

Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.

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Solid geometry

In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.

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Solomon Feferman

Solomon Feferman (December 13, 1928 – July 26, 2016) was an American philosopher and mathematician with works in mathematical logic.

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Stanford Encyclopedia of Philosophy

The Stanford Encyclopedia of Philosophy (SEP) combines an online encyclopedia of philosophy with peer-reviewed publication of original papers in philosophy, freely accessible to Internet users.

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Stanisław Leśniewski

Stanisław Leśniewski (March 30, 1886 – May 13, 1939) was a Polish mathematician, philosopher and logician.

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Stefan Banach

Stefan Banach (30 March 1892 – 31 August 1945) was a Polish mathematician who is generally considered one of the world's most important and influential 20th-century mathematicians.

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Stefan Mazurkiewicz

Stefan Mazurkiewicz (25 September 1888 – 19 June 1945) was a Polish mathematician who worked in mathematical analysis, topology, and probability.

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Subset

In mathematics, a set A is a subset of a set B, or equivalently B is a superset of A, if A is "contained" inside B, that is, all elements of A are also elements of B. A and B may coincide.

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T-schema

The T-schema or truth schema (not to be confused with 'Convention T') is used to give an inductive definition of truth which lies at the heart of any realisation of Alfred Tarski's semantic theory of truth.

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Tadeusz Kotarbiński

Tadeusz Kotarbiński (31 March 1886 – 3 October 1981), was a Polish philosopher, logician and ethicist.

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Tarski monster group

In the area of modern algebra known as group theory, a Tarski monster group, named for Alfred Tarski, is an infinite group G, such that every proper subgroup H of G, other than the identity subgroup, is a cyclic group of order a fixed prime number p. A Tarski monster group is necessarily simple.

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Tarski's axioms

Tarski's axioms, due to Alfred Tarski, are an axiom set for the substantial fragment of Euclidean geometry, called "elementary," that is formulable in first-order logic with identity, and requiring no set theory.

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Tarski's undefinability theorem

Tarski's undefinability theorem, stated and proved by Alfred Tarski in 1936, is an important limitative result in mathematical logic, the foundations of mathematics, and in formal semantics.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Truth

Truth is most often used to mean being in accord with fact or reality, or fidelity to an original or standard.

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Truth function

In logic, a truth function is a function that accepts truth values as input and produces a truth value as output, i.e., the input and output are all truth values.

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Truth value

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth.

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Two-element Boolean algebra

In mathematics and abstract algebra, the two-element Boolean algebra is the Boolean algebra whose underlying set (or universe or carrier) B is the Boolean domain.

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Type theory

In mathematics, logic, and computer science, a type theory is any of a class of formal systems, some of which can serve as alternatives to set theory as a foundation for all mathematics.

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Union (set theory)

In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection.

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United States

The United States of America (USA), commonly known as the United States (U.S.) or America, is a federal republic composed of 50 states, a federal district, five major self-governing territories, and various possessions.

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Unity of science

The unity of science is a thesis in philosophy of science that says that all the sciences form a unified whole.

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Universe (mathematics)

In mathematics, and particularly in set theory, category theory, type theory, and the foundations of mathematics, a universe is a collection that contains all the entities one wishes to consider in a given situation.

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University College London

University College London (UCL) is a public research university in London, England, and a constituent college of the federal University of London.

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University of Calgary

The University of Calgary (U of C or UCalgary) is a public research university located in Calgary, Alberta, Canada.

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University of California, Berkeley

The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California) is a public research university in Berkeley, California.

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University of California, Los Angeles

The University of California, Los Angeles (UCLA) is a public research university in the Westwood district of Los Angeles, United States.

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University of Lviv

The University of Lviv (Львівський університет, Uniwersytet Lwowski, Universität Lemberg, briefly known as the Theresianum in the early 19th-century), presently the Ivan Franko National University of Lviv (Львівський національний університет імені Івана Франка) is the oldest university foundation in Ukraine, dating from 1661 when the Polish King, John II Casimir, granted it its first royal charter.

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University of Vienna

The University of Vienna (Universität Wien) is a public university located in Vienna, Austria.

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University of Warsaw

The University of Warsaw (Uniwersytet Warszawski, Universitas Varsoviensis), established in 1816, is the largest university in Poland.

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Vienna Circle

The Vienna Circle (Wiener Kreis) of Logical Empiricism was a group of philosophers and scientists drawn from the natural and social sciences, logic and mathematics who met regularly from 1924 to 1936 at the University of Vienna, chaired by Moritz Schlick.

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Wacław Sierpiński

Wacław Franciszek Sierpiński (14 March 1882 – 21 October 1969) was a Polish mathematician.

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Wanda Szmielew

Wanda Montlak Szmielew (1918–1976) was a Polish mathematical logician (of Jewish descent) who first proved the decidability of the first-order theory of abelian groups.

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Warsaw

Warsaw (Warszawa; see also other names) is the capital and largest city of Poland.

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Warsaw School (mathematics)

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.

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Wilfrid Hodges

Wilfrid Augustine Hodges, FBA (born 27 May 1941) is a British mathematician, known for his work in model theory.

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Willard Van Orman Quine

Willard Van Orman Quine (known to intimates as "Van"; June 25, 1908 – December 25, 2000) was an American philosopher and logician in the analytic tradition, recognized as "one of the most influential philosophers of the twentieth century." From 1930 until his death 70 years later, Quine was continually affiliated with Harvard University in one way or another, first as a student, then as a professor of philosophy and a teacher of logic and set theory, and finally as a professor emeritus who published or revised several books in retirement.

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World War II

World War II (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although conflicts reflecting the ideological clash between what would become the Allied and Axis blocs began earlier.

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Zermelo–Fraenkel set theory

In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.

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Redirects here:

A. Tarski, Alfred Tajtelbaum, Alfred Teitelbaum.

References

[1] https://en.wikipedia.org/wiki/Alfred_Tarski

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