Hermann Weyl was one of the most important figures involved in the early elaboration of the general theory of relativity and its fundamentally geometrical space-time picture of the world. Weyl’s further development of “pure infinitesimal geometry” out of relativity theory was the basis of his remarkable attempt at unifying gravitation and electromagnetism. Many interpreters have focused primarily on Weyl’s philosophical influences, especially the influence of Husserl’s transcendental phenomenology, as the motivation for these efforts. In this article, I argue both that these efforts are most naturally understood as an outgrowth of the distinctive mathematical-physical tradition in Göttingen and that phenomenology has little to no constructive role to play in them.
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Article
Ryckman, Thomas A.;
(2003)
Surplus Structure from the Standpoint of Transcendental Idealism: The “World Geometries” of Weyl and Eddington
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Article
Bracco, Christian;
Provost, Jean-Pierre;
(2013)
Les points de vue de Poincaré sur la “mécanique nouvelle” et leurs rapports à l'enseignement et à sa pratique scientifique
(/isis/citation/CBB001213936/)
Article
Kanovei, Vladimir;
Katz, Mikhail G.;
Mormann, Thomas;
(2013)
Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics
(/isis/citation/CBB001320860/)
Article
Arthur, Richard T. W.;
(2013)
Leibniz's Syncategorematic Infinitesimals
(/isis/citation/CBB001211764/)
Article
König, Heidi;
(2006)
General Relativity in the English-Speaking World: The Contributions of Henry L. Brose
(/isis/citation/CBB001020754/)
Article
Scholz, Erhard;
(2004)
Hermann Weyl's Analysis of the “Problem of Space” and the Origin of Gauge Structures
(/isis/citation/CBB000500374/)
Chapter
Jeremy Gray;
(2015)
Henri Poincaré and Hermann Weyl on the Foundations of Mathematics
(/isis/citation/CBB501271170/)
Chapter
Scholz, Erhard;
(2006)
Practice-Related Symbolic Realism in H. Weyl's Mature View of Mathematical Knowledge
(/isis/citation/CBB000800126/)
Article
Jan Vrhovski;
(2021)
On Infinitesimals and Indefinitely Cut Wooden Sticks: A Chinese Debate on ‘Mathematical Logic’ and Russell’s Introduction to Mathematical Philosophy from 1925
(/isis/citation/CBB635980926/)
Article
Scott Edgar;
(2020)
Hermann Cohen’s Principle of the Infinitesimal Method: A Defense
(/isis/citation/CBB672281990/)
Article
Hao, Liuxiang;
(2003)
Hermann Weyl's Generalization about Riemann Geometry
(/isis/citation/CBB000500506/)
Article
Mormann, Thomas;
Katz, Mikhail;
(2013)
Infinitesimals as an Issue of Neo-Kantian Philosophy of Science
(/isis/citation/CBB001320796/)
Chapter
Corry, Leo;
(2006)
Axiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity
(/isis/citation/CBB000800120/)
Chapter
Hacking, Ian;
(2010)
Husserl on the Origins of Geometry
(/isis/citation/CBB001033970/)
Book
Weyl, Hermann;
(2009)
Philosophy of Mathematics and Natural Science
(/isis/citation/CBB000951954/)
Article
Pesic, Peter;
(2013)
Helmholtz, Riemann, and the Sirens: Sound, Color, and the “Problem of Space”
(/isis/citation/CBB001320409/)
Article
Domski, Mary;
(2013)
Kant and Newton on the a priori Necessity of Geometry
(/isis/citation/CBB001320266/)
Article
Toader, Iulian D.;
(2013)
Concept Formation and Scientific Objectivity: Weyl's Turn against Husserl
(/isis/citation/CBB001320797/)
Article
Kati Kish Bar-On;
(2021)
Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism
(/isis/citation/CBB421296438/)
Article
Scholz, Erhard;
(2005)
Philosophy as a Cultural Resource and Medium of Reflection for Hermann Weyl
(/isis/citation/CBB001252092/)
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