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| Hilbert's Problems | 1 | |
| Hilbert's 23 Problems | 9 | |
| The Way We Were | 11 | |
| Guido Castelnuovo | 21 | |
| Federigo Enriques | 22 | |
| Francesco Severi | 22 | |
| Verlaine and Poincare | 25 | |
| Bertrand Russell | 27 | |
| Godfrey H. Hardy | 37 | |
| Hardy: From A Mathematician s Apology | 41 | |
| Emmy Noether | 43 | |
| Carciopholus Romanus | 53 | |
| Paul Adrien Maurice Dirac | 55 | |
| Quantum Mechanics | 57 | |
| The Foundations of Quantum Field Theory | 58 | |
| Electron Theory | 59 | |
| The Method of Mathematical Beauty | 60 | |
| A Monosyllabic Interview | 62 | |
| The Theoretical Intelligence and the Practical Vision | ||
| of John von Neumann | 63 | |
| Hommage A Godel | 77 | |
| Robert Musil | 79 | |
| The Country that Went to Ruin Because of a Linguistic Gap | 79 | |
| Precision and Soul ......................................................................................................................g j | ||
| Too Intelligent To Be a Poet ................................................................................................g3 | ||
| Integrals To Grow Lean Again ............................................................................................g7 | ||
| The Life, Death and Miracles of Alan Mathison Turing | 91 | |
| "Who Is" A. M. Turing | 94 | |
| Renato Caccioppoli | 97 | |
| Bruno de Finetti .............................................................. jq9 | ||
| Works by Bruno de Finetti Cited | 113 | |
| A Committed Mathematician | 115 | |
| Andrey Nikolaevich Kolmogorov | 117 | |
| Bourbaki ............................................................................................................................................] | 23 | |
| Books Published by Bourbaki | 127 | |
| The Generations ........................................................................................................................12g | ||
| The "Real" Bourbaki ..............................................................................................................12g | ||
| The Founding Fathers ............................................................................................................12g | ||
| Writing and Mathematics in the Work of Raymond Queneau | 131 | |
| From Exercises in Style by Raymond Queneau | 135 | |
| Original Version | 135 | |
| Numerical Version | 135 | |
| Geometrical Version ..........................................................................................................j | 35 | |
| Set Theory Version ............................................................................................................j | 35 | |
| John F. Nash Jr | 137 | |
| Nash's Life | 137 | |
| The Myth of Icarus | 139 | |
| Game Theory | 142 | |
| Ennio De Giorgi | 147 | |
| Perimeter Theory and Hilbert's 19th Problem | 147 | |
| Minimal Surfaces | 149 | |
| G-Convergence | 150 | |
| Equations of Evolution and Problems of Free Discontinuity | 151 | |
| Foundations of Mathematics | 151 | |
| Social Commitment and Relations with Other Italian Mathematicians | 152 | |
| A Personal Recollection | 153 | |
| Laurent Schwartz | 157 | |
| "Who Is" Laurent Schwartz | 164 | |
| René Thorn | 165 | |
| J.L. Borges, The Dream (El sueño) | 169 | |
| Alexander Grothendieck: Enthusiasm and Creativity | 171 | |
| Bibliography | 180 | |
| Gian-Carlo Rota | 181 | |
| Stephen Smale | 191 | |
| Michael F. Atiyah | 197 | |
| The Age of Unification | 197 | |
| From Algebraic Geometry to K-Theory | 198 | |
| The Index Theorem | 200 | |
| Geometry and Physics | 204 | |
| Conclusion | 207 | |
| Vladimir Igorevich Arnold | 209 | |
| Enrico Bombieri | 213 | |
| Martin Gardner | 217 | |
| Solution | 220 | |
| Le Corbusier's Door of Miracles | 221 | |
| F. William Lawvere | 223 | |
| Category Theory | 228 | |
| Andrew Wiles | 231 | |
| Interview with Andrew Wiles (October 2004) | 233 | |
| Mathematical Prizes | 237 | |
| The Fields Medal | 237 | |
| The Abel Prize | 238 | |
