Book ID: CBB100106060

Tavoli, sedie, boccali di birra: David Hilbert e la matematica del Novecento (2016)

unapi

Lolli, Gabriele (Author)


Raffaello Cortina Editore


Publication Date: 2016
Physical Details: 176 pp.
Language: Italian

Nei primi trent’anni del Novecento, relatività e meccanica quantistica non sarebbero state concepite senza una matematica nuova, il cui campione è stato David Hilbert. “Ogni teoria può essere applicata a infiniti sistemi di enti fondamentali”, spiegava Hilbert illustrando il carattere assiomatico della nuova matematica. Per la geometria usava una battuta fortunata: “Invece di ‘punti, rette, piani’ dobbiamo ugualmente poter dire ‘tavoli, sedie, boccali di birra’”. Personaggio dal forte carisma personale, appassionato nel sostenere l’importanza delle proprie ricerche, Hilbert ha dedicato la vita a dimostrare come la matematica, con il metodo assiomatico, sia legittimata in ogni campo conoscitivo, ci fornisca strumenti nuovi per comprendere la realtà in cui viviamo e ci permetta di trattare l’infinito senza pericolo di contraddizioni. La sua ricerca ha comportato, in lunghi anni di lavoro e di polemiche, la trasformazione della logica in una scienza matematica: è questa l’eredità più duratura che ci ha lasciato, insieme ai nuovi metodi matematici della fisica, essenziali per la meccanica quantistica. [Abstract translated by Google Translate: This is the abstract in English… In the first thirty years of the twentieth century, relativity and quantum mechanics would not have been conceived without a new mathematics, whose champion was David Hilbert. "Any theory can be applied to infinite systems of fundamental entities," explained Hilbert illustrating the axiomatic character of the new mathematics. For geometry, he used a joke: "Instead of 'points, straight lines, planes,' we still need to be able to say 'tables, chairs, mugs of beer'." A character with a strong personal charisma, passionate in supporting the importance of his research, Hilbert dedicated his life to demonstrate how mathematics, with the axiomatic method, is legitimized in every field of knowledge, provides us with new tools to understand the reality in which we live and allow us to treat the infinite without danger of contradictions. His research has involved, in long years of work and controversy, the transformation of logic into a mathematical science: this is the most lasting legacy that has left us, together with the new mathematical methods of physics, essential for quantum mechanics.]

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Authors & Contributors
Halák, Jan
Charlotte Victorine Pollet
Yandell, Ben
Wilson, Robin J.
Wilson, R.
Sugiyama, Shigeo
Concepts
Mathematics
Geometry
Logic
Algebra
Physics
Biographies
Time Periods
20th century
19th century
20th century, early
Yuan Dynasty (China, ca. 1260-1368)
Song Dynasty (China, 960-1279)
Renaissance
Places
Germany
Sicily
Russia
Japan
China
Venice (Italy)
Institutions
Göttingen. Universität
St. Petersburg Academy of Sciences
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