爱因斯坦关于射影几何中的对合

IF 0.7 2区哲学 Q2 HISTORY & PHILOSOPHY OF SCIENCE

Archive for History of Exact Sciences Pub Date : 2021-01-08 DOI:10.1007/s00407-020-00270-z

Tilman Sauer, Tobias Schütz

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引用次数: 0

摘要

我们讨论爱因斯坦的投影几何知识。我们发现，爱因斯坦1912年左右的两页带有几何草图的草稿本可以直接与他普林斯顿时代的手稿页中的类似草图联系在一起。通过这种对应关系，我们表明这些草图都与一个共同的主题有关，即在投影几何环境中对合的讨论，特别强调无限点。我们对这些几何考虑的可能目的提出了一个猜想。

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Einstein on involutions in projective geometry

We discuss Einstein’s knowledge of projective geometry. We show that two pages of Einstein’s Scratch Notebook from around 1912 with geometrical sketches can directly be associated with similar sketches in manuscript pages dating from his Princeton years. By this correspondence, we show that the sketches are all related to a common theme, the discussion of involution in a projective geometry setting with particular emphasis on the infinite point. We offer a conjecture as to the probable purpose of these geometric considerations.

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来源期刊

Archive for History of Exact Sciences 管理科学-科学史与科学哲学

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Archive for History of Exact Sciences casts light upon the conceptual groundwork of the sciences by analyzing the historical course of rigorous quantitative thought and the precise theory of nature in the fields of mathematics, physics, technical chemistry, computer science, astronomy, and the biological sciences, embracing as well their connections to experiment. This journal nourishes historical research meeting the standards of the mathematical sciences. Its aim is to give rapid and full publication to writings of exceptional depth, scope, and permanence.