论文标题
数学现代性，目标还是问题？ Felix Hausdorff和Hermann Weyl的相反观点
Mathematical modernity, goal or problem? The opposing views of Felix Hausdorff and Hermann Weyl
论文作者
论文摘要
本文包含一个关于现代数学兴起的两位重要数学家的工作和自定义的案例研究：Felx Hausdorff（1868---1942）和Hermann Weyl（1885---1955）。两者在数学方法论的基本问题上具有很大的分歧，这反映在其数学研究的样式和内容中。赫伯特·梅尔顿（Herbert Mehrtens，1990）将他们描述为他认为是``现代主义者''的两个对立营地（Hilbert，Hausdorff等人）和``相反主义者''（Brouwer，Weyl，Weyl等人）的主角。毫无疑问，Hausdorff可以被描述为数学``现代主义者''，而Weyl作为``反现代''的资格一旦考虑到他的工作，就不在轨道上。
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 content of their mathematical research. Herbert Mehrtens (1990) describes them as protagonists of what he sees as the two opposing camps of ``modernists'' (Hilbert, Hausdorff et al.) and ``countermodernists'' (Brouwer, Weyl et al.). There is no doubt that Hausdorff may be described as a mathematical ``modernist''', while the qualification of Weyl as ``countermodern'' is rather off the track, once his work is taken into account.
