亚历山大·格洛腾迪克因揭示看似无关领域之间的联系而备受推崇。然后他就退出了社会。
亚历山大·格洛腾迪克住在法国维希的拘留营期间，接受了另一名囚犯玛丽亚的数学辅导。玛丽亚教十二岁的格洛腾迪克圆的定义：与给定点等距的所有点。多年后他写道，这个定义以其“简单明了”给他留下了深刻的印象。在此之前，完美圆润的特性在他看来是“难以言喻的神秘”。
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格洛腾迪克成为了一位受人尊敬的数学家。他的工作涉及找到正确的有利位置——从那里，问题的解决方案将很容易实现。他改写了定义，甚至是像点这样基本的东西。他的重构揭示了看似无关的数学领域之间的联系。他将他的数学工作描述为建造房屋，并将其与数学家对继承的房屋进行改进或建造一件家具的工作进行对比。凯斯西储的逻辑学家和数学哲学家科林麦克拉蒂告诉我，“今天很多人住在格洛腾迪克的房子里，却不知道这是格洛腾迪克的房子。”麻省理工学院当我问及格洛腾迪克的贡献时，与格洛腾迪克共事的数学家迈克尔·阿廷笑了。 “嗯，球场上的一切都变了，”他说。 “他来了，就像白天和黑夜。这是一场革命。”