About: Brouwer–Hilbert controversy

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In a controversy over the foundations of mathematics, in twentieth-century mathematics, L. E. J. Brouwer, a proponent of the constructivist school of intuitionism, opposed David Hilbert, a proponent of formalism. The debate concerned fundamental questions about the consistency of axioms and the role of semantics and syntax in mathematics. Much of the controversy took place while both were involved with the prestigious Mathematische Annalen journal, with Hilbert as editor-in-chief and Brouwer as a member of its editorial board. In 1920 Hilbert succeeded in having Brouwer, whom he considered a threat to mathematics, removed from the editorial board of Mathematische Annalen, the leading mathematical journal of the time.

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rdfs:label	Brouwer–Hilbert controversy (en)
rdfs:comment	In a controversy over the foundations of mathematics, in twentieth-century mathematics, L. E. J. Brouwer, a proponent of the constructivist school of intuitionism, opposed David Hilbert, a proponent of formalism. The debate concerned fundamental questions about the consistency of axioms and the role of semantics and syntax in mathematics. Much of the controversy took place while both were involved with the prestigious Mathematische Annalen journal, with Hilbert as editor-in-chief and Brouwer as a member of its editorial board. In 1920 Hilbert succeeded in having Brouwer, whom he considered a threat to mathematics, removed from the editorial board of Mathematische Annalen, the leading mathematical journal of the time. (en)
dcterms:subject	Constructivism (mathematics) Intuitionism Scientific controversies History of mathematics
Wikipage page ID	19245793 (xsd:integer)
Wikipage revision ID	1120089393 (xsd:integer)
Link from a Wikipage to another Wikipage	Primitive recursive function Robin Gandy Bertrand Russell David Hilbert Constructivism (mathematics) Intuitionism John von Neumann Paul Bernays Intuitionism Reductio ad absurdum The Mathematical Intelligencer Constance Reid Scientific controversies Gottlob Frege Batrachomyomachia Leopold Kronecker Stephen Cole Kleene Stephen Hawking Stephen Kleene Mathematische Annalen Tacit assumption Wilhelm Ackermann Jon Barwise Law of excluded middle A priori knowledge Ernest Nagel Editor-in-chief Foundations of mathematics Hilbert's second problem History of mathematics Henri Poincaré Hermann Weyl Hilbert basis theorem Jean van Heijenoort Arend Heyting Aristotle History of mathematics L. E. J. Brouwer Syntax Axiom Martin Davis (mathematician) Constructivism (philosophy of mathematics) H. J. Keisler Kurt Gödel Semantics John W. Dawson, Jr Formalism (mathematics) Intuitionist Paul Finsler Luitzen Egbertus Jan Brouwer L.E.J. Brouwer Brouwer fixed point theorem Emil Post Learned journal Constructive mathematics Completed infinity K. Kunen Springer Science and Business Media dbr:Herbert_Breger dbr:James_Newmann dbr:W.S._Anglin
Link from a Wikipage to an external page	http://www.marxists.org/reference/subject/philosophy/works/ge/hilbert.htm
sameAs	Brouwer–Hilbert controversy Brouwer–Hilbert controversy Brouwer–Hilbert controversy Brouwer–Hilbert controversy
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has abstract	In a controversy over the foundations of mathematics, in twentieth-century mathematics, L. E. J. Brouwer, a proponent of the constructivist school of intuitionism, opposed David Hilbert, a proponent of formalism. The debate concerned fundamental questions about the consistency of axioms and the role of semantics and syntax in mathematics. Much of the controversy took place while both were involved with the prestigious Mathematische Annalen journal, with Hilbert as editor-in-chief and Brouwer as a member of its editorial board. In 1920 Hilbert succeeded in having Brouwer, whom he considered a threat to mathematics, removed from the editorial board of Mathematische Annalen, the leading mathematical journal of the time. (en)
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foaf:isPrimaryTopicOf	wikipedia-en:Brouwer–Hilbert_controversy
is Link from a Wikipage to another Wikipage of	Cantor's paradise David Hilbert Intuitionism Intuitionistic logic

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