标题： 探索费利克斯·克莱因的争议性现代主义 显示英文标题

标题： Exploring Felix Klein's contested modernism

摘要： 关于大卫·希尔伯特和费利克斯·克莱因之间作为现代与反现代的对立，马克思主义历史学家赫伯特·梅尔滕斯和其他人曾进行过探讨。 如埃普尔、格拉坦-吉尼斯、格雷、奎因、罗韦以及最近的西格蒙德-舒尔茨和马佐蒂等学者，都对梅尔滕斯的辩证方法表达了各种观点。 我们探讨了关于克莱因有争议的现代主义的不同视角，以及希尔伯特和克莱因对直觉、逻辑和物理学的看法。 我们分析了杰里米·格雷对克莱因关于犹太数学家的人类学推测的评论，并发现其不可成立。 我们认为，梅尔滕斯寻找反现代人物的地址是错误的。 显示英文摘要

摘要： An alleged opposition between David Hilbert and Felix Klein as modern vs countermodern has been pursued by marxist historian Herbert Mehrtens and others. Scholars such as Epple, Grattan-Guinness, Gray, Quinn, Rowe, and recently Siegmund-Schultze and Mazzotti have voiced a range of opinions concerning Mehrtens' dialectical methodology. We explore contrasting perspectives on Klein's contested modernism, as well as Hilbert's and Klein's views on intuition, logic, and physics. We analyze Jeremy Gray's comment on Klein's ethnographic speculations concerning Jewish mathematicians and find it to be untenable. We argue that Mehrtens was looking for countermoderns at the wrong address.