Abstract The Italian mathematician Antonio Bordoni is mainly known for his adherence to the Lagrangian approach to the foundations of calculus and for his role in creating an important school of mathematics. In this paper, I consider his less known work on the application of probability to design exams and analyze their outcomes. Within this framework, he obtained in 1837, as Mondesir and Poisson, the result that would lead Catalan to formulate his “new principle” of probability ( Jongmans and Seneta, 1994 ). Moreover, in 1843, Bordoni also gave an early complete proof of the finite rule of succession.

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概率和考试：安东尼奥·博尔多尼的作品

摘要 意大利数学家安东尼奥·博尔多尼 (Antonio Bordoni) 主要以其对微积分基础的拉格朗日方法的坚持以及在创建重要数学流派中的作用而闻名。在本文中，我考虑了他鲜为人知的将概率应用于设计考试和分析考试结果的工作。在这个框架内，他于 1837 年作为 Mondesir 和 Poisson 获得了这一结果，这将导致加泰罗尼亚人制定他的“新概率原理”（Jongmans 和 Seneta，1994 年）。此外，在 1843 年，博尔多尼还给出了有限继承规则的早期完整证明。