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 |  | 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 | doi | https://doi.org/10.1007/978-3-030-11527-2 | isbn_ebook | 978-3-030-11527-2Series ISSN 1871-7381 Series E-ISSN 2215-1958 | issn_series | 1871-7381 | copyright | Springer Nature Switzerland AG 2019 |
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