Book ID: CBB368392118

Philosophy of the Infinite (2020)

unapi

Gambetta, Emanuele (Author)


Gangemi Editore


Publication Date: 2020
Physical Details: 112
Language: English

What do we mean when we use the concept of infinity? What did the ancient Greeks mean? What do modern mathematicians mean when they use infinity in their calculations? What are the debates of contemporary philosophers of mathematics regarding the infinite? This book, starting from Aristotle and Plato, tries to retrace the steps that led to contemporary conceptions of infinity. The book also deals with the first mathematical problem of the twentieth century on Hilbert's list with no solution that has correlations with the concept of infinity. Is the mathematical universe unique or do we have infinite parallel universes with different truths? This is a question related to the concept of infinity and the book tries to answer it. The goal of this book is to make the mathematics of infinity accessible by showing the most incredible mathematical results of the last century and deepening the themes of contemporary debates in mathematics and philosophy regarding infinity.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB368392118/

Similar Citations

Book Bitbol, Michel; Gayon, Jean; (2006)
L'épistémologie française, 1830--1970 (/isis/citation/CBB001024794/)

Essay Review Janiak, Andrew; (2011)
The Kantian Spirit: How to Resist Realism in the Philosophy of Science (/isis/citation/CBB001566746/)

Thesis Ogawa, Yoshinori; (2002)
The Pursuit of Rigor: David Hilbert's Early Philosophy of Mathematics (/isis/citation/CBB001562203/)

Book Mario Castellana; (2019)
Federigo Enriques e la “Nuova Epistemologia” (/isis/citation/CBB605748137/)

Book Pietro Greco; (2020)
Quanti. La straordinaria storia della meccanica quantistica (/isis/citation/CBB247197978/)

Book Parsons, Charles; (2012)
From Kant to Husserl: Selected Essays (/isis/citation/CBB001253011/)

Book Claudio Ternullo; Vincenzo Fano; (2021)
L'infinito. Filosofia, matematica, fisica (/isis/citation/CBB363375072/)

Book Patterson, Douglas; (2008)
New Essays on Tarski and Philosophy (/isis/citation/CBB001232382/)

Article Karela, Catherine; (2010)
Hilbert on Different Notions of Completeness: A Conceptual and Historical Analysis (/isis/citation/CBB001220619/)

Chapter Paolo Zellini; (2019)
Continuo, discontinuo e infinito nel pensiero di Pavel Florenskij (/isis/citation/CBB672175919/)

Book Kaplan, Robert; Kaplan, Ellen; (2003)
The Art of the Infinite: The Pleasures of Mathematics (/isis/citation/CBB000302161/)

Book Cantor, Georg; Ferreirós, José; (2006)
Fundamentos para una teoría general de conjuntos: Escritos y correspondencia selecta (/isis/citation/CBB000930382/)

Article Bussotti, Paolo; Tapp, Christian; (2009)
The Influence of Spinoza's Concept of Infinity on Cantor's Set Theory (/isis/citation/CBB000931166/)

Article Paseau, Alexander; (2011)
Mathematical Instrumentalism, Gödel's Theorem, and Inductive Evidence (/isis/citation/CBB001024149/)

Chapter Carlo Casolo; (2018)
La Biblioteca Universale (/isis/citation/CBB604701261/)

Book Gauthier, Yvon; (2002)
Internal Logic: Foundations of Mathematics from Kronecker to Hilbert (/isis/citation/CBB000301820/)

Article Formica, Giambattista; (2010)
Von Neumann's Methodology of Science: From Incompleteness Theorems to Later Foundational Reflections (/isis/citation/CBB001034599/)

Chapter Massimo Ferrari; (2018)
“Uno strenuo difensore” di Mach: John Bernhard Stallo (/isis/citation/CBB213065857/)

Book Bour, Pierre Edouard; Rebuschi, Manuel; Rollet, Laurent; (2010)
Construction: Festschrift for Gerhard Heinzmann (/isis/citation/CBB001032083/)

Authors & Contributors
Ternullo, Claudio
Casolo, Carlo
Greco, Pietro
Zellini, Paolo
Tapp, Christian
Rollet, Laurent
Concepts
Mathematics
Philosophy of mathematics
Philosophy
Philosophy of science
History of philosophy of science
Infinity
Time Periods
20th century
19th century
20th century, early
18th century
21st century
Places
United States
Russia
Poland
Italy
Europe
Institutions
Universität Göttingen
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment