
Lectures on the Philosophy of Mathematics
Joel David Hamkins(Author)
MIT Press
Will be published approx. on 9. March 2021
Book
Paperback/Softback
336 pages
978-0-262-54223-4 (ISBN)
Description
An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice.
In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.
More details
Language
English
Place of publication
Cambridge (Massachusetts)
United States
Publishing group
MIT Press Ltd
Dimensions
Height: 222 mm
Width: 177 mm
Thickness: 22 mm
Weight
658 gr
ISBN-13
978-0-262-54223-4 (9780262542234)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Joel David Hamkins
Lectures on the Philosophy of Mathematics
E-Book
02/2021
MIT Press
€53.99
Available for download
Person
Joel David Hamkins
Content
Preface xvii
About the Author xix
1 Numbers 1
2 Rigor 53
3 Infinity 87
4 Geometry 119
5 Proof 157
6 Computability 193
7 Incompleteness 225
8 Set Theory 225
Bibliography 303
Notation Index 315
Subject Index 319
About the Author xix
1 Numbers 1
2 Rigor 53
3 Infinity 87
4 Geometry 119
5 Proof 157
6 Computability 193
7 Incompleteness 225
8 Set Theory 225
Bibliography 303
Notation Index 315
Subject Index 319