| Preface | 6 |
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| Contents | 10 |
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| 1 Berlin 1871 1897 | 14 |
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| 1.1 Family and Youth | 14 |
| 1.2 School and University Studies | 18 |
| 1.3 Ph. D. Thesis and the Calculus of Variations | 23 |
| 1.4 The Boltzmann Controversy | 28 |
| 2 Göttingen 1897 1910 | 40 |
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| 2.1 Introduction | 40 |
| 2.2 Working in Applied Mathematics | 41 |
| 2.3 First Years as a Privatdozent in Göttingen | 46 |
| 2.4 The Context: Hilbert s Research on Foundations | 49 |
| 2.5 Starting Set Theory | 60 |
| 2.6 Zermelo s First Well-Ordering Proof | 66 |
| 2.7 Finite Sets | 74 |
| 2.8 The New Proof Paper | 78 |
| 2.9 The Axiomatization of Set Theory | 89 |
| 2.10 The Institutionalization of Mathematical Logic | 105 |
| 2.11 Waiting for a Professorship | 118 |
| 3 Zurich 1910 1921 | 126 |
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| 3.1 A Full Professorship | 126 |
| 3.2 Colleagues and a Friend | 138 |
| 3.3 Teaching in Zurich | 141 |
| 3.4 Scientific Work in Zurich | 142 |
| 3.5 The Fraenkel Correspondence of 1921 and the Axiom of Replacement | 148 |
| 4 Freiburg 1921 1953 | 152 |
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| 4.1 A New Start | 152 |
| 4.2 Research in Applied Mathematics | 161 |
| 4.3 The Return to the Foundations of Mathematics | 166 |
| 4.4 Warsaw 1929 | 178 |
| 4.5 Foundational Controversies: An Introduction | 188 |
| 4.6 Definiteness Revisited | 192 |
| 4.7 The Cumulative Hierarchy | 199 |
| 4.8 The Skolem Controversy | 209 |
| 4.9 Infinitary Languages and Infinitary Logic | 217 |
| 4.10 The Gödel Controversy | 225 |
| 4.11 The Loss of the Honorary Professorship | 232 |
| 4.12 Retreat | 249 |
| 4.13 Twilight of Life | 262 |
| 5 A Final Word | 272 |
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| 6 Zermelo s Curriculum Vitae | 276 |
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| 7 Appendix Selected Original Versions | 285 |
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| 7.1 Berlin | 285 |
| 7.2 Göttingen | 286 |
| 7.3 Zurich | 294 |
| 7.4 Freiburg | 299 |
| References | 319 |
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| Index | 351 |
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