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Peano: Life and Work of Giuseppe Peano

von Hubert C. Kennedy

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All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica­ tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.… (mehr)
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Troppa cronaca

[Nota: io ho letto la versione del 1983 senza la postfazione di Odifreddi, della quale quindi non parlo]

Credo che sia significativo il fatto che l'unica biografia di Giuseppe Peano sia stata scritta mezzo secolo dopo la sua morte, e da un americano. Questo dice molto su come la fama del matematico cuneese sia molto maggiore all'estero che in patria. Purtroppo l'approccio di Kennedy, soprattutto nella prima parte, è più vicino a una cronaca che a una biografia vera e propria, con l'elenco degli articoli scritti anno per anno - non in appendice, ma proprio nel testo. Inoltre, come Lalla Romano sottolinea maliziosamente nell'introduzione, la famiglia di origine di Peano non era così povera come Kennedy ha capito, non conoscendo la terminologia piemontese. È interessante scoprire come tra il 1890 e il 1900 Peano fosse praticamente la punta della matematica mondiale assieme a Poincaré e Hilbert, e poi abbia deciso di lasciar perdere tutto e dedicarsi al latino sine flexione (che secondo me puoi leggere solo se sai un po' di latino) e all'interlingua. Secondo Kennedy, la sua scelta era però logica: il suo pensiero era di rendere la matematica non ambigua e basata sul minor numero di premesse possibili, e i risultati matematici che ottenne dipendevano da quello. Anche nei rapporti con i colleghi c'era questa ambivalenza: spesso non era interessato a rivendicare la priorità di un risultato, ma era punto sul vivo quando qualcuno contestava gli errori che lui aveva trovato in una dimostrazione altrui. Alla fine, resto convinto che Peano avrebbe meritato qualcosa in più anche come ricordo. Nulla da eccepire sulla traduzione di Paolo Pagli. ( )
  .mau. | Mar 28, 2023 |
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Wikipedia auf Englisch (2)

All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica­ tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.

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