In this work, we study the development of non-Desarguian geometry from David Hilbert to Ruth Moufang. We will see that a geometric model became a complicated interrelation between algebra and geometry.
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Debuiche, Valérie;
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Michael Friedman;
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On Mascheroni's La geometria del compasso at the beginning of the 19th century
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Gray, Jeremy;
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The symbolic universe: Geometry and physics, 1890-1930
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Reich, Karin;
(2008)
Der Desarguessche und der Pascalsche Satz: Hessenbergs Beitrag zu Hilberts Grundlagen der Geometrie
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Cerroni, Cinzia;
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The Contributions of Hilbert and Dehn to Non-Archimedean Geometries and Their Impact on the Italian School
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Pejlare, Johanna;
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Torsten Brodén's Work on the Foundations of Euclidean Geometry
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Demopoulos, William;
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Frege, Hilbert, and the conceptual structure of model theory
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Eduardo N. Giovannini;
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David Hilbert and the foundations of the theory of plane area
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Gabriele Lolli;
(2016)
Tavoli, sedie, boccali di birra: David Hilbert e la matematica del Novecento
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Toepell, M.-M.;
(1985)
Zur Schlüsselrolle Friedrich Schurs bei der Entstehung von David Hilberts Grundlagen der Geometrie
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Stillwell, John;
(2014)
Ideal Elements in Hilbert's Geometry
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Sieg, Wilfried;
(2014)
The Ways of Hilbert's Axiomatics: Structural and Formal
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Toepell, Michael;
(1986)
On the origins of David Hilbert's Grundlagen der Geometrie
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Corry, Leo;
(2006)
Axiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity
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Hallett, Michael;
(2010)
Frege and Hilbert
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Hilbert, David;
Hallett, Michael;
Majer, Ulrich;
(2004)
David Hilbert's Lectures on the Foundations of Geometry, 1891-1902
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Christián C. Carman;
(2023)
A Ptolemaic lunar model of the 17th century: François Viète and his first lunar model
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Basak, Subhash C.;
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Philosophy of Mathematical Chemistry: A Personal Perspective
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Shell-Gellasch, Amy;
(2003)
The Olivier String Models at West Point
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Chatt, Saloua;
(2014)
Avicenna on Possibility and Necessity
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