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L. E. J. Brouwer

Luitzen Egbertus Jan Brouwer ForMemRS (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, a graduate of the University of Amsterdam, who worked in topology, set theory, measure theory and complex analysis. [1]

47 relations: Academic journal, Algebraic topology, Andrey Kolmogorov, Arend Heyting, Arthur Schopenhauer, 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 (mathematics), Foundations of mathematics, George F C Griss, Gerrit Mannoury, Hairy ball theorem, Hermann Weyl, Immanuel Kant, Intuitionism, Invariance of domain, Jean van Heijenoort, John von Neumann, Law of excluded middle, Martin Davis, Mathematician, Mathematics, Mathematische Annalen, Measure (mathematics), 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.

Academic journal

An academic or scholarly journal is a peer-reviewed or refereed periodical in which scholarship relating to a particular academic discipline is published.

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Algebraic topology

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

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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.

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Arend Heyting

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

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Arthur Schopenhauer

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

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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.

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Blaricum

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

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Brouwer fixed-point theorem

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after Luitzen Brouwer.

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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.

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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.

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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.

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David Hilbert

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

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Diederik Korteweg

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

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Dirk van Dalen

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

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Formalism (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.

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Foundations of mathematics

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

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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.

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Gerrit Mannoury

Gerrit Mannoury (1867–1956) 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.

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Hairy ball theorem

The hairy ball theorem of algebraic topology states that there is no nonvanishing continuous tangent vector field on even-dimensional ''n''-spheres.

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Hermann Weyl

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

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Immanuel Kant

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

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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.

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Invariance of domain

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

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Jean van Heijenoort

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

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John von Neumann

John von Neumann (Hungarian: Neumann János,; December 28, 1903 – February 8, 1957) was a Hungarian-American pure and applied mathematician, physicist, inventor, polymath, and polyglot.

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Law of excluded middle

In logic, the law of excluded middle (or the principle of excluded middle) is the third of the three classic laws of thought.

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Martin Davis

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

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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 topics such as quantity (numbers), structure, space, and change.

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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.

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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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Netherlands

The Netherlands (Nederland) is the main "constituent country" (land) of the Kingdom of the Netherlands.

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Overschie

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

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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.

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Philosopher

A philosopher, in a broad sense, is someone who studies philosophy.

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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.

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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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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 for science and is possibly the oldest such society still in existence.

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Semiotics

Semiotics (also called semiotic studies; not to be confused with the Saussurean tradition called semiology which is a part of semiotics) is the study of meaning-making, the study of sign processes and meaningful communication.

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Set theory

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

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Significs

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

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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.

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Simplicial complex

In mathematics, a simplicial complex is a topological space of a certain kind, constructed by "gluing together" points, line segments, triangles, and their ''n''-dimensional counterparts (see illustration).

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study), is the study of topological spaces.

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University of Amsterdam

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

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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.

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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.

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References

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

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