Lolli, Gabriele (Author)
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.]
...More
Book
William Boos;
Florence S. Boos;
(2018)
Metamathematics and the Philosophical Tradition
(/isis/citation/CBB060593902/)
Book
Charpentier, Éric;
Ghys, Étienne;
Lesne, Annick;
(2010)
The Scientific Legacy of Poincaré
(/isis/citation/CBB001023244/)
Article
Sieg, Wilfried;
(2014)
The Ways of Hilbert's Axiomatics: Structural and Formal
(/isis/citation/CBB001213914/)
Article
McLarty, Colin;
(2011)
Emmy Noether's First Great Mathematics and the Culmination of First-Phase Logicism, Formalism, and Intuitionism
(/isis/citation/CBB001022015/)
Book
Anderson, M.;
Katz, V.;
Wilson, R.;
(2009)
Who Gave You the Epsilon? And Other Tales of Mathematical History
(/isis/citation/CBB001023438/)
Article
Gandon, Sébastien;
(2004)
Russell et l'Universal Algebra de Whitehead: la géométrie projective entre ordre et incidence (1898--1903)
(/isis/citation/CBB000501687/)
Book
Flood, Raymond;
Rice, Adrian;
Wilson, Robin;
(2011)
Mathematics in Victorian Britain
(/isis/citation/CBB001221196/)
Article
Paseau, Alexander;
(2011)
Mathematical Instrumentalism, Gödel's Theorem, and Inductive Evidence
(/isis/citation/CBB001024149/)
Book
Charlotte Victorine Pollet;
(2020)
The empty and the full: Li Ye and the way of mathematics : geometrical procedures by section of areas
(/isis/citation/CBB703705286/)
Article
Novy, Luboš;
(2008)
Les relations entre la logique et la mathématique dans l'oeuvre de Bernard Bolzano
(/isis/citation/CBB001021148/)
Article
Ekholm, Karin J.;
(2010)
Tartaglia's ragioni: A maestro d'abaco's Mixed Approach to the Bombardier's Problem
(/isis/citation/CBB000933699/)
Article
Majer, Ulrich;
(2014)
The “Axiomatic Method” and Its Constitutive Role in Physics
(/isis/citation/CBB001213910/)
Article
Rowe, David E.;
(2001)
Einstein Meets Hilbert: At the Crossroads of Physics and Mathematics
(/isis/citation/CBB000102532/)
Book
Alberto Cogliati;
(2024)
La geometria non euclidea. Una breve storia dall’antichità a Poincaré
(/isis/citation/CBB276091257/)
Book
Yandell, Ben;
(2002)
The Honors Class: Hilbert's Problems and Their Solvers
(/isis/citation/CBB000201969/)
Book
Gray, Jeremy J.;
(2000)
The Hilbert challenge
(/isis/citation/CBB000102035/)
Article
Nakamura, Shigeru;
Sugiyama, Shigeo;
(2006)
The Origin and Features of the CHART System Developed by Hoshino Kasui
(/isis/citation/CBB000774075/)
Article
Jan Halák;
(2022)
Mathematics embodied: Merleau-Ponty on geometry and algebra as fields of motor enaction
(/isis/citation/CBB074170500/)
Book
Bradley, Robert E.;
Sandifer, Charles Edward;
(2007)
Leonhard Euler: Life, Work and Legacy
(/isis/citation/CBB000773345/)
Book
Lucio Russo;
(2019)
Archimede: un grande scienziato antico
(/isis/citation/CBB631807357/)
Be the first to comment!