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Titlebook: Weyl and the Problem of Space; From Science to Phil Julien Bernard,Carlos Lobo Book 2019 Springer Nature Switzerland AG 2019 Foundation of

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发表于 2025-3-21 16:19:29 | 显示全部楼层 |阅读模式
书目名称Weyl and the Problem of Space
副标题From Science to Phil
编辑Julien Bernard,Carlos Lobo
视频video
概述Deepens readers’ foundations of geometry, physics and the theory of continuum with an approach which is inextricably philosophical, historical and scientific.Presents the first historical reconstituti
丛书名称Studies in History and Philosophy of Science
图书封面Titlebook: Weyl and the Problem of Space; From Science to Phil Julien Bernard,Carlos Lobo Book 2019 Springer Nature Switzerland AG 2019 Foundation of
描述.This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem..Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathemati
出版日期Book 2019
关键词Foundation of Physics; Group Theory; History of Mathematics and Physics of the 20th; Lie groups; Non-Euc
版次1
doihttps://doi.org/10.1007/978-3-030-11527-2
isbn_ebook978-3-030-11527-2Series ISSN 1871-7381 Series E-ISSN 2215-1958
issn_series 1871-7381
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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发表于 2025-3-22 00:07:53 | 显示全部楼层
Le résidu philosophique du problème de l’espace chez Weyl et Husserle problem of space found a solution with the recent development of mathematics and physics. For both, however, a philosophical . 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 communicati
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发表于 2025-3-22 10:07:35 | 显示全部楼层
Entre phénoménologie et intuitionnisme: la définition du continue ressaisir les traits caractéristiques par lesquels elle se distingue tant d’une épistémologie historique (Brunschvicg, Bachelard, Koyré) qui tente de déchiffrer dans l’histoire les étapes de la construction de la raison mathématique ou les moments de mutation de la rationalité mathématicienne, que
发表于 2025-3-22 16:13:36 | 显示全部楼层
From the Problem of Space to the Epistemology of Science: Hermann Weyl’s Reflection on the Dimensionsed the distinction between the question of the essence of space and the question of its objective representation, a distinction that many philosophers, such as Ernst Cassirer, inherited from Immanuel Kant’s philosophy. However, Weyl aimed to offer a reliable alternative to Kant’s transcendental ide
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H. Weyl’s Deep Insights intotheMathematicalandPhysicalWorlds: His Important Contribution to the Philied theory of the forces of gravity and of electromagnetism. The second, closely related to the previous, was the search for a new geometrical framework appropriate for the elucidation of such a connection. According to Weyl, the first search is essentially dependent on the second, since a new theor
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