Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Free
Faster access than browser!
 

L. E. J. Brouwer

+ Save concept

Luitzen Egbertus Jan Brouwer (27 February 1881 – 2 December 1966), usually cited as L. E. J. Brouwer but known to his friends as Bertus, was a Dutch mathematician and philosopher, who worked in topology, set theory, measure theory and complex analysis. [1]

52 relations: Academic journal, Algebraic topology, Andrey Kolmogorov, Arend Heyting, Arthur Schopenhauer, Bar induction, Bartel Leendert van der Waerden, Biographical Memoirs of Fellows of the Royal Society, Blaricum, Brouwer fixed-point theorem, Brouwer–Hilbert controversy, Complex analysis, Constructivism (mathematics), David Hilbert, Diederik Korteweg, Dirk van Dalen, Formalism (philosophy of mathematics), Foundations of mathematics, George F. C. Griss, Gerrit Mannoury, Hairy ball theorem, Hermann Weyl, Immanuel Kant, International Congress of Mathematicians, Intuitionism, Invariance of domain, Jean van Heijenoort, John von Neumann, Law of excluded middle, Ludwig Wittgenstein, Martin Davis, Mathematician, Mathematics, Mathematische Annalen, Measure (mathematics), Michael Dummett, Netherlands, Overschie, Paul Bernays, Philosopher, Phragmen–Brouwer theorem, Royal Netherlands Academy of Arts and Sciences, Royal Society, Semiotics, Set theory, Significs, Simplicial approximation theorem, Simplicial complex, Topology, University of Amsterdam, ..., Victoria, Lady Welby, Wilhelm Ackermann. Expand index (2 more) »

Academic journal

An academic or scholarly journal is a periodical publication in which scholarship relating to a particular academic discipline is published.

New!!: L. E. J. Brouwer and Academic journal · See more »

Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

New!!: L. E. J. Brouwer and Algebraic topology · See more »

Andrey Kolmogorov

Andrey Nikolaevich Kolmogorov (a, 25 April 1903 – 20 October 1987) was a 20th-century Soviet mathematician who made significant contributions to the mathematics of probability theory, topology, intuitionistic logic, turbulence, classical mechanics, algorithmic information theory and computational complexity.

New!!: L. E. J. Brouwer and Andrey Kolmogorov · See more »

Arend Heyting

__notoc__ Arend Heyting (9 May 1898 – 9 July 1980) was a Dutch mathematician and logician.

New!!: L. E. J. Brouwer and Arend Heyting · See more »

Arthur Schopenhauer

Arthur Schopenhauer (22 February 1788 – 21 September 1860) was a German philosopher.

New!!: L. E. J. Brouwer and Arthur Schopenhauer · See more »

Bar induction

Bar induction is a reasoning principle used in intuitionistic mathematics, introduced by L.E.J. Brouwer.

New!!: L. E. J. Brouwer and Bar induction · See more »

Bartel Leendert van der Waerden

Bartel Leendert van der Waerden (February 2, 1903 – January 12, 1996) was a Dutch mathematician and historian of mathematics.

New!!: L. E. J. Brouwer and Bartel Leendert van der Waerden · See more »

Biographical Memoirs of Fellows of the Royal Society

The Biographical Memoirs of Fellows of the Royal Society is an academic journal on the history of science published annually by the Royal Society.

New!!: L. E. J. Brouwer and Biographical Memoirs of Fellows of the Royal Society · See more »

Blaricum

Blaricum is a municipality and village in the province of North Holland, the Netherlands.

New!!: L. E. J. Brouwer and Blaricum · See more »

Brouwer fixed-point theorem

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer.

New!!: L. E. J. Brouwer and Brouwer fixed-point theorem · See more »

Brouwer–Hilbert controversy

In a foundational controversy in twentieth-century mathematics, L. E. J. Brouwer, a supporter of intuitionism, opposed David Hilbert, the founder of formalism.

New!!: L. E. J. Brouwer and Brouwer–Hilbert controversy · See more »

Christmas

Christmas is an annual festival commemorating the birth of Jesus Christ,Martindale, Cyril Charles.

New!!: L. E. J. Brouwer and Christmas · See more »

Christmas and holiday season

The Christmas season, also called the festive season, or the holiday season (mainly in the U.S. and Canada; often simply called the holidays),, is an annually recurring period recognized in many Western and Western-influenced countries that is generally considered to run from late November to early January.

New!!: L. E. J. Brouwer and Christmas and holiday season · See more »

Christmas Eve

Christmas Eve is the evening or entire day before Christmas Day, the festival commemorating the birth of Jesus.

New!!: L. E. J. Brouwer and Christmas Eve · See more »

Christmas traditions

Christmas traditions vary from country to country.

New!!: L. E. J. Brouwer and Christmas traditions · See more »

Complex analysis

Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.

New!!: L. E. J. Brouwer and Complex analysis · See more »

Constructivism (mathematics)

In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists.

New!!: L. E. J. Brouwer and Constructivism (mathematics) · See more »

David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician.

New!!: L. E. J. Brouwer and David Hilbert · See more »

Diederik Korteweg

Diederik Johannes Korteweg (31 March 1848 – 10 May 1941) was a Dutch mathematician.

New!!: L. E. J. Brouwer and Diederik Korteweg · See more »

Dirk van Dalen

Dirk van Dalen (born 20 December 1932, Amsterdam) is a Dutch mathematician and historian of science.

New!!: L. E. J. Brouwer and Dirk van Dalen · See more »

Formalism (philosophy of mathematics)

In foundations of mathematics, philosophy of mathematics, and philosophy of logic, formalism is a theory that holds that statements of mathematics and logic can be considered to be statements about the consequences of certain string manipulation rules.

New!!: L. E. J. Brouwer and Formalism (philosophy of mathematics) · See more »

Foundations of mathematics

Foundations of mathematics is the study of the philosophical and logical and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.

New!!: L. E. J. Brouwer and Foundations of mathematics · See more »

George F. C. Griss

George François Cornelis Griss (30 January 1898, Amsterdam – 2 August 1953, Blaricum), usually cited as G. F. C. Griss, was a Dutch mathematician and philosopher, who was occupied with Hegelian idealism and Brouwers intuitionism and stated a negationless mathematics.

New!!: L. E. J. Brouwer and George F. C. Griss · See more »

Gerrit Mannoury

Gerrit Mannoury (17 May 1867 – 30 January 1956) was a Dutch philosopher and mathematician, professor at the University of Amsterdam and communist, known as the central figure in the signific circle, a Dutch counterpart of the Vienna circle.

New!!: L. E. J. Brouwer and Gerrit Mannoury · See more »

Hairy ball theorem

The hairy ball theorem of algebraic topology (sometimes called the hedgehog theorem in Europe) states that there is no nonvanishing continuous tangent vector field on even-dimensional ''n''-spheres.

New!!: L. E. J. Brouwer and Hairy ball theorem · See more »

Hermann Weyl

Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.

New!!: L. E. J. Brouwer and Hermann Weyl · See more »

Immanuel Kant

Immanuel Kant (22 April 1724 – 12 February 1804) was a German philosopher who is a central figure in modern philosophy.

New!!: L. E. J. Brouwer and Immanuel Kant · See more »

International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

New!!: L. E. J. Brouwer and International Congress of Mathematicians · See more »

Intuitionism

In the philosophy of mathematics, intuitionism, or neointuitionism (opposed to preintuitionism), is an approach where mathematics is considered to be purely the result of the constructive mental activity of humans rather than the discovery of fundamental principles claimed to exist in an objective reality.

New!!: L. E. J. Brouwer and Intuitionism · See more »

Invariance of domain

Invariance of domain is a theorem in topology about homeomorphic subsets of Euclidean space Rn.

New!!: L. E. J. Brouwer and Invariance of domain · See more »

Jean van Heijenoort

Jean Louis Maxime van Heijenoort (July 23, 1912 – March 29, 1986) was a pioneer historian of mathematical logic.

New!!: L. E. J. Brouwer and Jean van Heijenoort · See more »

John von Neumann

John von Neumann (Neumann János Lajos,; December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, and polymath.

New!!: L. E. J. Brouwer and John von Neumann · See more »

Law of excluded middle

In logic, the law of excluded middle (or the principle of excluded middle) states that for any proposition, either that proposition is true or its negation is true.

New!!: L. E. J. Brouwer and Law of excluded middle · See more »

Ludwig Wittgenstein

Ludwig Josef Johann Wittgenstein (26 April 1889 – 29 April 1951) was an Austrian-British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language.

New!!: L. E. J. Brouwer and Ludwig Wittgenstein · See more »

Martin Davis

Martin David Davis (born March 8, 1928) is an American mathematician, known for his work on Hilbert's tenth problem.

New!!: L. E. J. Brouwer and Martin Davis · See more »

Mathematician

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

New!!: L. E. J. Brouwer and Mathematician · See more »

Mathematics

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

New!!: L. E. J. Brouwer and Mathematics · See more »

Mathematische Annalen

Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.

New!!: L. E. J. Brouwer and Mathematische Annalen · See more »

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.

New!!: L. E. J. Brouwer and Measure (mathematics) · See more »

Michael Dummett

Sir Michael Anthony Eardley Dummett, FBA (27 June 192527 December 2011) was an English philosopher, described as "among the most significant British philosophers of the last century and a leading campaigner for racial tolerance and equality." He was, until 1992, Wykeham Professor of Logic at the University of Oxford.

New!!: L. E. J. Brouwer and Michael Dummett · See more »

Netherlands

The Netherlands (Nederland), often referred to as Holland, is a country located mostly in Western Europe with a population of seventeen million.

New!!: L. E. J. Brouwer and Netherlands · See more »

New Year

New Year is the time or day at which a new calendar year begins and the calendar's year count increments by one.

New!!: L. E. J. Brouwer and New Year · See more »

New Year's Day

New Year's Day, also called simply New Year's or New Year, is observed on January 1, the first day of the year on the modern Gregorian calendar as well as the Julian calendar.

New!!: L. E. J. Brouwer and New Year's Day · See more »

New Year's Eve

In the Gregorian calendar, New Year's Eve (also known as Old Year's Day or Saint Sylvester's Day in many countries), the last day of the year, is on 31 December which is the seventh day of Christmastide.

New!!: L. E. J. Brouwer and New Year's Eve · See more »

Overschie

Overschie is a neighborhood of Rotterdam, Netherlands, formerly a separate village with its own municipality.

New!!: L. E. J. Brouwer and Overschie · See more »

Paul Bernays

Paul Isaac Bernays (17 October 1888 – 18 September 1977) was a Swiss mathematician, who made significant contributions to mathematical logic, axiomatic set theory, and the philosophy of mathematics.

New!!: L. E. J. Brouwer and Paul Bernays · See more »

Philosopher

A philosopher is someone who practices philosophy, which involves rational inquiry into areas that are outside either theology or science.

New!!: L. E. J. Brouwer and Philosopher · See more »

Phragmen–Brouwer theorem

In topology, the Phragmén–Brouwer theorem, introduced by Lars Edvard Phragmén and Luitzen Egbertus Jan Brouwer, states that if X is a normal connected locally connected topological space, then the following two properties are equivalent.

New!!: L. E. J. Brouwer and Phragmen–Brouwer theorem · See more »

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.

New!!: L. E. J. Brouwer and Royal Netherlands Academy of Arts and Sciences · See more »

Royal Society

The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.

New!!: L. E. J. Brouwer and Royal Society · See more »

Semiotics

Semiotics (also called semiotic studies) is the study of meaning-making, the study of sign process (semiosis) and meaningful communication.

New!!: L. E. J. Brouwer and Semiotics · See more »

Set theory

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

New!!: L. E. J. Brouwer and Set theory · See more »

Significs

Significs (significa) is a linguistic and philosophical term introduced by Victoria, Lady Welby in the 1890s.

New!!: L. E. J. Brouwer and Significs · See more »

Simplicial approximation theorem

In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by a slight deformation) approximated by ones that are piecewise of the simplest kind.

New!!: L. E. J. Brouwer and Simplicial approximation theorem · See more »

Simplicial complex

In mathematics, a simplicial complex is a set composed of points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).

New!!: L. E. J. Brouwer and Simplicial complex · See more »

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.

New!!: L. E. J. Brouwer and Topology · See more »

University of Amsterdam

The University of Amsterdam (abbreviated as UvA, Universiteit van Amsterdam) is a public university located in Amsterdam, Netherlands.

New!!: L. E. J. Brouwer and University of Amsterdam · See more »

Victoria, Lady Welby

Victoria, Lady Welby (1837–1912), more correctly Lady Welby-Gregory, was a self-educated English philosopher of language, musician and water-colour artist.

New!!: L. E. J. Brouwer and Victoria, Lady Welby · See more »

Wilhelm Ackermann

Wilhelm Friedrich Ackermann (29 March 1896 – 24 December 1962) was a German mathematician best known for the Ackermann function, an important example in the theory of computation.

New!!: L. E. J. Brouwer and Wilhelm Ackermann · See more »

2018

2018 has been designated as the third International Year of the Reef by the International Coral Reef Initiative.

New!!: L. E. J. Brouwer and 2018 · See more »

2019

2019 (MMXIX) will be a common year starting on Tuesday of the Gregorian calendar, the 2019th year of the Common Era (CE) and Anno Domini (AD) designations, the 19th year of the 3rd millennium, the 19th year of the 21st century, and the 10th and last year of the 2010s decade.

New!!: L. E. J. Brouwer and 2019 · See more »

Redirects here:

Bertus Brouwer, Brouwerian, L E J Brouwer, L.E.J. Brouwer, LEJ Brouwer, Luitzen Brouwer, Luitzen E. J. Brouwer, Luitzen Egbertus Jan Brauwer, Luitzen Egbertus Jan Brouwer, Luitzen egbertus jan brouwer, Luitzgen Egbertus Jan Brouwer.

References

[1] https://en.wikipedia.org/wiki/L._E._J._Brouwer

OutgoingIncoming
Hey! We are on Facebook now! »