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.
...MoreSimilar Citations
Article
Ryckman, Thomas A.;
(2003)
Surplus Structure from the Standpoint of Transcendental Idealism: The “World Geometries” of Weyl and Eddington
(/isis/citation/CBB000502670/)
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
Arthur, Richard T. W.;
(2013)
Leibniz's Syncategorematic Infinitesimals
(/isis/citation/CBB001211764/)
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
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/)
Article
Scott Edgar;
(2020)
Hermann Cohen’s Principle of the Infinitesimal Method: A Defense
(/isis/citation/CBB672281990/)
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/)
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
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/)
Book
Weyl, Hermann;
(2009)
Philosophy of Mathematics and Natural Science
(/isis/citation/CBB000951954/)
Article
Domski, Mary;
(2013)
Kant and Newton on the a priori Necessity of Geometry
(/isis/citation/CBB001320266/)
Article
William Goodwin;
(2018)
Conflicting Conceptions of Construction in Kant's Philosophy of Geometry
(/isis/citation/CBB010680130/)
Chapter
Gerhard Heinzmann;
(2016)
Kant et l'intuition épistémique
(/isis/citation/CBB981942154/)
Book
Reichenbach, Hans;
Gimbel, Steven;
Walz, Anke;
(2006)
Defending Einstein: Hans Reichenbach's Writings on Space, Time, and Motion
(/isis/citation/CBB000930976/)
Article
Kati Kish Bar-On;
(2021)
Towards a new philosophical perspective on Hermann Weyl’s turn to intuitionism
(/isis/citation/CBB421296438/)
Article
Toader, Iulian D.;
(2013)
Concept Formation and Scientific Objectivity: Weyl's Turn against Husserl
(/isis/citation/CBB001320797/)
Be the first to comment!