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Hilbert arithmetic

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  • Hilbert's program — Hilbert s program, formulated by German mathematician David Hilbert in the 1920s, was to formalize all existing theories to a finite, complete set of axioms, and provide a proof that these axioms were consistent.Hilbert proposed that the… …   Wikipedia

  • Hilbert's tenth problem — is the tenth on the list of Hilbert s problems of 1900. Its statement is as follows:Given a Diophantine equation with any number of unknown quantities and with rational integral numerical coefficients: To devise a process according to which it… …   Wikipedia

  • Hilbert's problems — are a list of twenty three problems in mathematics put forth by German mathematician David Hilbert at the Paris conference of the International Congress of Mathematicians in 1900. The problems were all unsolved at the time, and several of them… …   Wikipedia

  • Hilbert's arithmetic of ends — is an algebraic approach introduced by German mathematician David Hilbert for Poincaré disk model of hyperbolic geometry [Hilbert, A New Development of Bolyai Lobahevskian Geometry as Appendix III in Foundations of Geometry , 1971.] . Hilbert… …   Wikipedia

  • Hilbert's second problem — In mathematics, Hilbert s second problem was posed by David Hilbert in 1900 as one of his 23 problems. It asks for a proof that arithmetic of real numbers is consistent.In the 1930s, Kurt Gödel and Gerhard Gentzen proved results that cast new… …   Wikipedia

  • Hilbert symbol — In mathematics, given a local field K, such as the fields of reals or p adic numbers, whose multiplicative group of non zero elements is K×, the Hilbert symbol is an algebraic construction, extracted from reciprocity laws, and important in the… …   Wikipedia

  • Hilbert's programme — In a famous speech in 1900 the mathematician David Hilbert (1862–1943) identified 23 outstanding problems in mathematics. The first was the continuum hypothesis . The second was the problem of the consistency of mathematics. This evolved into a… …   Philosophy dictionary

  • Hilbert-Symbol — Das Hilbert Symbol (nach David Hilbert) ist eine Kurzschreibweise, die in der algebraischen Zahlentheorie verwendet wird. Für einen lokalen Körper K mit der multiplikativen Gruppe K * ist es wie folgt definiert: Eigenschaften Ist …   Deutsch Wikipedia

  • David Hilbert — Hilbert redirects here. For other uses, see Hilbert (disambiguation). David Hilbert David Hilbert (1912) Born …   Wikipedia

  • Brouwer-Hilbert controversy — A foundational controversy in twentieth century history of mathematics opposed L. E. J. Brouwer, a supporter of intuitionism, and David Hilbert, the founder of formalism.BackgroundThe background for the controversy was set with David Hilbert s… …   Wikipedia

  • David Hilbert — Nacimiento 23 de enero de 1862 Königsberg, Prusia Oriental Fallecimiento 14 de febrero de …   Wikipedia Español

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