Scholz, Erhard (Author)
Hermann Weyl (1885--1955) was one of the early contributors to the mathematics of general relativity. This article argues that in 1929, for the formulation of a general relativistic framework of the Dirac equation, he both abolished and preserved in modified form the conceptual perspective that he had developed earlier in his analysis of the problem of space. The ideas of infinitesimal congruence from the early 1920s were aufgehoben (in all senses of the German word) in the general relativistic framework for the Dirac equation. He preserved the central idea of gauge as a purely infinitesimal aspect of (internal) symmetries in a group extension schema. With respect to methodology, however, Weyl gave up his earlier preferences for relatively a-priori arguments and tried to incorporate as much empiricism as he could. This signified a clearly expressed empirical turn for him. Moreover, in this step he emphasized that the mathematical objects used for the representation of matter structures stood at the center of the construction, rather than interaction fields which, in the early 1920s, he had considered as more or less derivable from geometrico-philosophical considerations.
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Book
Scholz, Erhard.;
(2001)
Hermann Weyl's Raum--Zeit--Materie and a General Introduction to his Scientific Work
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Article
C. D. McCoy;
(2022)
The Constitution of Weyl’s Pure Infinitesimal World Geometry
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Article
König, Heidi;
(2006)
General Relativity in the English-Speaking World: The Contributions of Henry L. Brose
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Book
Hawkins, Thomas;
(2000)
Emergence of the theory of Lie groups: An essay in the history of mathematics, 1869-1926
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Chapter
Jeremy Gray;
(2015)
Henri Poincaré and Hermann Weyl on the Foundations of Mathematics
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Article
Bernard, Julien;
(2015)
Textes & Documents: Les Tapuscrits Barcelonais sur le probléme de l'espace de Weyl
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Chapter
Scholz, Erhard;
(2006)
Practice-Related Symbolic Realism in H. Weyl's Mature View of Mathematical Knowledge
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Book
Eckes, Christophe;
(2014)
Les groupes de Lie dans l'oeuvre de Hermann Weyl
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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
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Article
Christophe Eckes;
(2016)
Un premier aperçu de la correspondance Hecke / Weyl (1930-1938)
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Book
Weyl, Hermann;
Pesic, Peter;
(2009)
Mind and Nature: Selected Writings on Philosophy, Mathematics, and Physics
(/isis/citation/CBB000951953/)
Article
Paweł Polak;
(2016)
Philosophy in science – a case of a reception of special and general theory of relativity in Kraków and Lwów before 1925 / Filozofia w nauce – studium przypadku recepcji szczególnej i ogólnej teorii względności w Krakowie oraz we Lwowie przed rokiem 1925
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Book
Judith R. Goodstein;
(2018)
Einstein's Italian Mathematicians: Ricci, Levi-civita, and the Birth of General Relativity
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Article
Pesic, Peter;
(2013)
Helmholtz, Riemann, and the Sirens: Sound, Color, and the “Problem of Space”
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Chapter
Corry, Leo;
(2006)
Axiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity
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Article
Brading, Katherine;
(2002)
Which symmetry? Noether, Weyl, and Conservation of Electric Charge
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Article
Sommer, Klaus P.;
(2005)
In das Deutschland “von Hilbert und Einstein”. Briefe von Einstein, Planck, Nernst, Debye, Born, Sommerfeld, Courant, Ehrenfest, Weyl und Althoff an David Hilbert, gefunden auf einem Göttinger Dachboden
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Article
Hao, Liuxiang;
(2003)
Hermann Weyl's Generalization about Riemann Geometry
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Article
González Rojo, Víctor;
(2019)
"El continuo" 100 años después: un nuevo análisis desde la perspectiva crítica de Hölder
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Article
Rowe, David E.;
(2001)
Einstein Meets Hilbert: At the Crossroads of Physics and Mathematics
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