Ernst Zermelo (eBook)

1 Berlin 1871–1897: 1.1 Family and Youth.- 1.2 School and University Studies.- 1.3 Ph.D. Thesis and the Calculus of Variations.- 1.4 The Boltzmann Controversy.- 2 Göttingen 1897–1910: 2.1 Introduction.- 2.2 Working in Applied Mathematics.- 2.3 First Years as a Privatdozent in Göttingen.- 2.4 The Context: Hilbert’s Research on Foundations.- 2.5 Starting Set Theory.-  2.6 Zermelo’s First Well-Ordering Proof.- 2.7 Finite Sets.- 2.8 The New Proof Paper.- 2.9 The Axiomatization of Set Theory.- 2.10 The Institutionalization of Mathematical Logic.- 2.11 Waiting for a Professorship.- 3 Zurich 1910–1921: 3.1 A Full Professorship.- 3.2 Colleagues and a Friend.- 3.3 Teaching in Zurich.- 3.4 Scientific Work in Zurich.- 3.5 The Fraenkel Correspondence of 1921 and the Axiom of Replacement.- 4 Freiburg 1921–1953: 4.1 A New Start.-  4.2 Research in Applied Mathematics.- 4.3 The Return to the Foundations of Mathematics.- 4.4 Warsaw 1929.- 4.5 Foundational Controversies: An Introduction.- 4.6 Definiteness Revisited.- 4.7 The Cumulative Hierarchy.- 4.8 The Skolem Controversy.- 4.9 Infinitary Languages and Infinitary Logic.- 4.10 The Gödel Controversy.- 4.11 The Loss of the Honorary Professorship.- 4.12 Retreat.- 5 A Final Word.- 6 Zermelo’s Curriculum Vitae.- 7 Appendix: Selected Original Versions: 7.1 Berlin.- 7.2 Göttingen.- 7.3 Zurich.- 7.4 Freiburg.- References.- Index.