Table of Contents

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

Joel David Hamkins is Professor of Logic at Oxford University and Sir Peter Strawson Fellow in Philosophy at University College, Oxford. The author of Proof and the Art of Mathematics (MIT Press), he is the creator of the popular blog Mathematics and Philosophy of the Infinite. He is a prominent contributor to MathOverflow, where he has posted more than 1,000 mathematical arguments.

Reviews

“[E]ven readers who are already familiar with the mathematical topics will find Hamkins’s philosophical discussions stimulating and thought-provoking....written in an engaging, conversational style, with numerous well-drawn figures....The book can serve as an interesting and enjoyable introduction...for a wide range of readers.”
—Notices of the American Mathematical Society