Book ID: CBB368392118

Philosophy of the Infinite (2020)


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.

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Authors & Contributors
Gauthier, Yvon
Kaplan, Robert B.
Kaplan, Ellen
McLarty, Colin
Ferreirós, José
Cantor, Georg
Studies in History and Philosophy of Science
British Journal for the Philosophy of Science
Perspectives on Science
Metascience: An International Review Journal for the History, Philosophy and Social Studies of Science
Oxford University Press
Carocci Editore
Kluwer Academic
Presses Universitaires de France
Philosophy of mathematics
Philosophy of science
History of philosophy of science
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
United States
Universität Göttingen

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