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Article ID: CBB264650638

Probability and Exams: The Work of Antonio Bordoni (2020)

Rosso, Riccardo (Author)

Historia Mathematica
Volume: 53
Pages: 33-47

DOI: 10.1016/j.hm.2020.02.001

URI: https://www.sciencedirect.com/science/article/pii/S0315086020300215

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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 Mondésir 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. Sommario Il matematico italiano Antonio Bordoni è noto soprattutto per l'adesione all'approccio lagrangiano ai fondamenti dell'analisi e per il ruolo nella creazione di un'importante scuola matematica. In questo lavoro considero contributi meno noti di Bordoni sulle applicazioni del calcolo delle probabilità alla progettazione degli esami ed all'analisi dei loro esiti. In questo àmbito egli ottenne nel 1837, al pari di Mondésir e Poisson, un risultato che porterà Catalan a formulare il suo “nuovo principio” del calcolo delle probabilità (Jongmans and Seneta, 1994). Inoltre Bordoni fornì nel 1843 una delle prime dimostrazioni complete della regola finita di successione.

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