This book does exactly what the title says - it clarifies in accessible language the nature of many familiar and exotic mathematical objects, and explains and criticises current and past theories of the nature of mathematics.
| Preface Aims and Goals | p. xi |
| Acknowledgments | p. xvii |
| Dialogue with Laura | p. xxi |
| p. 1 |
| Survey and Proposals | p. 3 |
| Criteria for a Philosophy of Mathematics | p. 24 |
| Myths/Mistakes/ Misunderstandings | p. 35 |
| Intuiton/Proof/Certainty | p. 48 |
| Five Classical Puzzles | p. 72 |
| p. 89 |
| Mainstream Before the Crisis | p. 91 |
| Mainstream Philosophy at Its Peak | p. 119 |
| Mainstream Since the Crisis | p. 137 |
| Foundationism Dies/ Mainstream Lives | p. 165 |
| Humanists and Mavericks of Old | p. 182 |
| Modern Humanists and Mavericks | p. 198 |
| Twelve Contemporary Humanists and Mavericks | p. 220 |
| Summary and Recapitulation | p. 233 |
| Thirteen Mathematics is a Form of Life | p. 235 |
| Mathematical Notes/Comments | p. 251 |
| Bibliography | p. 317 |
| Index | p. 335 |
| Table of Contents provided by Publisher. All Rights Reserved. |
