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31 de jul. de 2023 · This chapter contains a case study of the work and self-understanding of two important mathematicians during the rise of modern mathematics: Felix Hausdorff (1868–1942) and Hermann Weyl (1885–1955).
- Erhard Scholz
- scholz@math.uni-wuppertal.de
9 November 1885. Elmshorn (near Hamburg), Schleswig-Holstein, Germany. Died. 8 December 1955. Zürich, Switzerland. Summary. From 1923-38 Weyl evolved the concept of continuous groups using matrix representations. With his application of group theory to quantum mechanics he set up the modern subject. View nine larger pictures. Biography.
Typically, it is stated that an \(n\)-dimensional, differentiable manifold \(M\) is a Hausdorff, topological space equipped with an atlas, that is, a family \(\{(U_{\alpha},x_{\alpha})\}\) of charts, such that the open neighbourhoods \(U_{\alpha}\) cover \(M\).
2 de sept. de 2022 · It focuses on three central themes that occupied Weyl’s thought: the notion of the continuum, logical existence, and the necessity of intuitionism, constructivism, and formalism to adequately address the foundational crisis of mathematics.
13 de oct. de 2022 · [Submitted on 13 Oct 2022] Mathematical modernity, goal or problem? The opposing views of Felix Hausdorff and Hermann Weyl. Erhard Scholz. This paper contains a case study of the work and self-definition of two important mathematicians during the rise of modern mathematics: Felx Hausdorff (1868--1942) and Hermann Weyl (1885--1955).
13 de oct. de 2022 · This paper contains a case study of the work and self-definition of two important mathematicians during the rise of modern mathematics: Felx Hausdorff (1868--1942) and Hermann Weyl (1885--1955). The two had strongly diverging positions with regard to basic questions of mathematical methodology, which is reflected in the style and ...
2 de sept. de 2009 · Moreover, the ratio of the lengths of two vectors located at different points is not determined even in a path-dependent way. According to Weyl, it is a fundamental principle of infinitesimal geometry that the metric structure on a manifold \(M\) determines a unique affine structure on \(M\).
