书目名称 | Space, Number, and Geometry from Helmholtz to Cassirer | 编辑 | Francesca Biagioli | 视频video | http://file.papertrans.cn/874/873194/873194.mp4 | 概述 | Offers a new historical reconstruction of the philosophical debate on non-Euclidean geometry in neo-Kantianism.Brings a new approach to Helmholtz‘s philosophy of mathematics.Relevance for the current | 丛书名称 | Archimedes | 图书封面 |  | 描述 | This book offers a reconstruction of the debate on non-Euclidean geometry in neo-Kantianism between the second half of the nineteenth century and the first decades of the twentieth century. Kant famously characterized space and time as a priori forms of intuitions, which lie at the foundation of mathematical knowledge. The success of his philosophical account of space was due not least to the fact that Euclidean geometry was widely considered to be a model of certainty at his time. However, such later scientific developments as non-Euclidean geometries and Einstein’s general theory of relativity called into question the certainty of Euclidean geometry and posed the problem of reconsidering space as an open question for empirical research. The transformation of the concept of space from a source of knowledge to an object of research can be traced back to a tradition, which includes such mathematicians as Carl Friedrich Gauss, Bernhard Riemann, Richard Dedekind, Felix Klein, and Henri Poincaré, and which finds one of its clearest expressions in Hermann von Helmholtz’s epistemological works. Although Helmholtz formulated compelling objections to Kant, the author reconsiders different | 出版日期 | Book 2016 | 关键词 | Hermann von Helmholtz; Neo-Kantianism; Non-Euclidean Geometry; Physical Geometry; Space and Geometry; Spa | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-31779-3 | isbn_softcover | 978-3-319-81116-1 | isbn_ebook | 978-3-319-31779-3Series ISSN 1385-0180 Series E-ISSN 2215-0064 | issn_series | 1385-0180 | copyright | Springer International Publishing Switzerland 2016 |
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