David Hilbert’s lecture, “Mathematical Problems,” [Hilbert 1900] delivered in Paris in 1900 at the Second International Congress of Mathematicians, has long been recognized as marking a milestone in the history of mathematics. Certainly for Hilbert himself, this marked the single greatest event and a true turning point in his storied career. When historians and mathematicians have written about the so-called Hilbert problems, they have usually looked forward into the twentieth century, sometimes by viewing their resolution as markers for mathematical progress.
...MoreBook David E. Rowe; Wann-Sheng Horng (2015) A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. Dauben.
Book
Gray, Jeremy J.;
(2000)
The Hilbert challenge
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Article
Karela, Catherine;
(2010)
Hilbert on Different Notions of Completeness: A Conceptual and Historical Analysis
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Article
Li, Di;
(2005)
Transmission of the mathematical theories of German mathematicians in China during the first half of the 20th century
(/isis/citation/CBB000503127/)
Article
McLarty, Colin;
(2011)
Emmy Noether's First Great Mathematics and the Culmination of First-Phase Logicism, Formalism, and Intuitionism
(/isis/citation/CBB001022015/)
Article
Cassou-Noguès, Pierre;
(2006)
Signs, Figures and Time: Cavaillès on “Intuition” in Mathematics
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Article
Rédei, Miklós;
(2014)
Hilbert's 6th Problem and Axiomatic Quantum Field Theory
(/isis/citation/CBB001213911/)
Article
Olga Hoppe-Kondrikova;
Lukas M. Verburgt;
(2016)
On A.ya. Khinchin's Paper ‘ideas of Intuitionism and the Struggle for a Subject Matter in Contemporary Mathematics’ (1926): A Translation with Introduction and Commentary
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Article
Stillwell, John;
(2014)
Ideal Elements in Hilbert's Geometry
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Book
Hilbert, David;
Ewald, William;
Sieg, Wilfried;
Hallett, Michael;
Majer, Ulrich;
Schlimm, Dirk;
(2013)
David Hilbert's Lectures on the Foundations of Arithmetic and Logic, 1917--1933
(/isis/citation/CBB001551530/)
Article
Cerroni, Cinzia;
(2007)
The Contributions of Hilbert and Dehn to Non-Archimedean Geometries and Their Impact on the Italian School
(/isis/citation/CBB000930656/)
Article
Sieg, Wilfried;
(2014)
The Ways of Hilbert's Axiomatics: Structural and Formal
(/isis/citation/CBB001213914/)
Book
Corry, Leo;
(2004)
David Hilbert and the Axiomatization of Physics (1898-1918): From Grundlagen der Geometrie to Grundlagen der Physik
(/isis/citation/CBB000550055/)
Article
Rowe, David E.;
(2004)
Making Mathematics in an Oral Culture: Göttingen in the Era of Klein and Hilbert
(/isis/citation/CBB000500124/)
Article
Abrusci, V. Michele;
(2014)
On Hilbert's Axiomatics of Propositional Logic
(/isis/citation/CBB001213913/)
Article
Schirrmacher, Arne;
(2003)
Planting in his Neighbor's Garden: David Hilbert and Early Göttingen Quantum Physics
(/isis/citation/CBB000641699/)
Chapter
Corry, Leo;
(2006)
Axiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity
(/isis/citation/CBB000800120/)
Book
Gauthier, Yvon;
(2002)
Internal Logic: Foundations of Mathematics from Kronecker to Hilbert
(/isis/citation/CBB000301820/)
Article
Smadja, Ivahn;
(2012)
Local Axioms in Disguise: Hilbert on Minkowski Diagrams
(/isis/citation/CBB001211483/)
Book
John von Neumann;
R. Lupacchini;
G. Gottardi;
(2018)
Metamatematica hilbertiana e fondamenti della meccanica quantistica
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Article
Patton, Lydia;
(2014)
Hilbert's Objectivity
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