Difference between revisions of "David Hilbert"
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(In 1926 Hilbert famously rebuke the haters (infinity-deniers) of Georg Cantor, who persisted after ruining his career and he had passed away: "No one shall expel us from the paradise that Cantor has created" (translated from German).) |
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| − | '''David Hilbert''' (1862-1943) was a German mathematician who attempted to formalize mathematics in a methodical manner. He is | + | '''David Hilbert''' (1862-1943) was a German mathematician who attempted to formalize mathematics in a methodical manner. He is famous for listing the 23 greatest unsolved problems of mathematics in 1900, problems that included the Riemann hypothesis, the continuum hypothesis, Goldbach's conjecture, the well ordering of the reals, the transcendence of powers of algebraic numbers and the extension of Dirichlet's principle, in addition to his analogy for Cantorian infinite sets, known as "Hilbert's Hotel." |
| − | Later, | + | In 1926 Hilbert famously rebuke the haters ([[infinity]]-deniers) of [[Georg Cantor]], who persisted after ruining his career and he had passed away: "No one shall expel us from the paradise that Cantor has created" (translated from [[German]]). |
| − | [[ | + | |
| + | Later, Hilbert did work in algebraic number theory and geometry, and he helped create the general [[theory of relativity]] by first publishing a derivation of the field equations. His work on ''Hilbert spaces'' was also crucial for the development of [[quantum mechanics]]. In 1934 and 1939 he published two works attempting to develop a "proof theory," which is a direct check for the consistency of mathematics. But in 1931 [[Kurt Godel|Kurt Gödel]] had already proved that this goal was impossible. | ||
| + | [[Category:Mathematicians|Hilbert, David]] | ||
Latest revision as of 23:49, April 10, 2025
David Hilbert (1862-1943) was a German mathematician who attempted to formalize mathematics in a methodical manner. He is famous for listing the 23 greatest unsolved problems of mathematics in 1900, problems that included the Riemann hypothesis, the continuum hypothesis, Goldbach's conjecture, the well ordering of the reals, the transcendence of powers of algebraic numbers and the extension of Dirichlet's principle, in addition to his analogy for Cantorian infinite sets, known as "Hilbert's Hotel."
In 1926 Hilbert famously rebuke the haters (infinity-deniers) of Georg Cantor, who persisted after ruining his career and he had passed away: "No one shall expel us from the paradise that Cantor has created" (translated from German).
Later, Hilbert did work in algebraic number theory and geometry, and he helped create the general theory of relativity by first publishing a derivation of the field equations. His work on Hilbert spaces was also crucial for the development of quantum mechanics. In 1934 and 1939 he published two works attempting to develop a "proof theory," which is a direct check for the consistency of mathematics. But in 1931 Kurt Gödel had already proved that this goal was impossible.