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
http://data.isiscb.org/isis/citation/CBB368392118/

Similar Citations

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

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

Article McLarty, Colin; (2007)
The Last Mathematician from Hilbert's Göttingen: Saunders Mac Lane as Philosopher of Mathematics (/isis/citation/CBB000831434/) unapi

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Authors & Contributors
Gauthier, Yvon
Kaplan, Robert B.
Kaplan, Ellen
McLarty, Colin
Ferreirós, José
Cantor, Georg
Journals
Studies in History and Philosophy of Science
British Journal for the Philosophy of Science
Perspectives on Science
Almagest
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Publishers
Oxford University Press
Carocci Editore
UTET
Kluwer Academic
Crítica
Presses Universitaires de France
Concepts
Mathematics
Philosophy of mathematics
Philosophy
Philosophy of science
History of philosophy of science
Infinity
People
Hilbert, David
Gödel, Kurt
Kronecker, Leopold
Cantor, Georg Ferdinand Ludwig
Kant, Immanuel
Weyl, Hermann
Time Periods
20th century
19th century
20th century, early
18th century
21st century
Places
Poland
United States
Europe
Italy
Russia
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