Ternullo, Claudio (Author)
Fano, Vincenzo (Author)
Carocci Editore
Physical Details: 160 pp.
Language: Italian
Esistono infiniti di grandezza diversa e quantità infinitesime? Lo spazio, il tempo e la materia sono infiniti? Perché l’infinito è indispensabile per la comprensione della realtà? Il libro affronta queste domande fornendo una panoramica avvincente e aggiornata del problema in ambiti diversi. Dopo un’immersione nella storia e nella filosofia, illustra i risultati della teoria degli insiemi, dell’analisi matematica e della fisica contemporanea. Attraverso queste discipline, gli autori guidano il lettore nei meandri di un interrogativo che, come ha detto il matematico tedesco David Hilbert, «ha eccitato, più di ogni altro, l’animo umano». [Abstract translated by Google Translate: This is the abstract in English… Are there infinities of different sizes and infinitesimal quantities? Are space, time and matter infinite? Why is infinity indispensable for understanding reality? The book addresses these questions by providing a compelling and up-to-date overview of the problem in different domains. After an immersion in history and philosophy, it illustrates the results of set theory, mathematical analysis and contemporary physics. Through these disciplines, the authors guide the reader into the maze of a question that, as the German mathematician David Hilbert said, "has excited, more than any other, the human soul".]
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