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Weyl and the Problem of SpaceLe résidu philosophique du problème de l’espace chez Weyl et Husserl

Weyl and the Problem of Space: Le résidu philosophique du problème de l’espace chez Weyl et Husserl [Husserl and Weyl share a common philosophical and mathematical heritage, among other things, Riemannian and Kantian. For both, substantial parts of the problem of space found a solution with the recent development of mathematics and physics. For both, however, a philosophical residuum remains, that of the relation of space (as a form of intuition) to the real world (as it appears and is posited through ordinary experience and intersubjective communication). But, starting from a Kantian conception of space as an a priori subjective form, Weyl repeatedly adapts this idea to the recent development of geometry and physics until he converts it in a form of radicalization of Riemann’s view, i.e. infinitesimal geometry. Conversely the starting point of Husserl’s investigations on space, from 1892 onward, is motivated by Riemann’s break-up with former conceptions (including Gauss’s), a revolution that Husserl will “thematize”, after his phenomenological breakthrough, as an historical example of formalization, unclosing the larger field of formal conceptions of “abstract spaces” as manifolds provided with additional structures (field, group, etc.), while the a priori form of space (and time) appears now as a multilayered and complex formation, clearly noticed and praised by Weyl, as an enrichment of Kant’s transcendental aesthetics.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Weyl and the Problem of SpaceLe résidu philosophique du problème de l’espace chez Weyl et Husserl

Part of the Studies in History and Philosophy of Science Book Series (volume 49)
Editors: Bernard, Julien; Lobo, Carlos
Lobo, Carlos
Weyl and the Problem of Space — Oct 10, 2019
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References (26)

Publisher
Springer International Publishing
Copyright
© Springer Nature Switzerland AG 2019
ISBN
978-3-030-11526-5
Pages
35 –97
DOI
10.1007/978-3-030-11527-2_3
Publisher site
See Chapter on Publisher Site

Abstract

[Husserl and Weyl share a common philosophical and mathematical heritage, among other things, Riemannian and Kantian. For both, substantial parts of the problem of space found a solution with the recent development of mathematics and physics. For both, however, a philosophical residuum remains, that of the relation of space (as a form of intuition) to the real world (as it appears and is posited through ordinary experience and intersubjective communication). But, starting from a Kantian conception of space as an a priori subjective form, Weyl repeatedly adapts this idea to the recent development of geometry and physics until he converts it in a form of radicalization of Riemann’s view, i.e. infinitesimal geometry. Conversely the starting point of Husserl’s investigations on space, from 1892 onward, is motivated by Riemann’s break-up with former conceptions (including Gauss’s), a revolution that Husserl will “thematize”, after his phenomenological breakthrough, as an historical example of formalization, unclosing the larger field of formal conceptions of “abstract spaces” as manifolds provided with additional structures (field, group, etc.), while the a priori form of space (and time) appears now as a multilayered and complex formation, clearly noticed and praised by Weyl, as an enrichment of Kant’s transcendental aesthetics.]

Published: Oct 10, 2019

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