Labyrinth of Thought

Part One. The Emergence of Sets within Mathematics

1. Institutional and Intellectual Contexts in German Mathematics, 1800–1870

2. A New Fundamental Notion: Riemann’s Manifolds

3. Dedekind and the Set-theoretical Approach to Algebra

4. The Real Number System

5. Origins of the Theory of Point-Sets

Part Two. Entering the Labyrinth-Toward Abstract Set Theory

6. The Notion of Cardinality and the Continuum Hypothesis

7. Sets and Maps as a Foundation for Mathematics

8. The Transfinite Ordinals and Cantor’s Mature Theory

Part Three. In Search of an Axiom System

9. Diffusion, Crisis, and Bifurcation: 1890 to 1914

10. Logic and Type Theory in the Interwar Period

11. Consolidation of Axiomatic Set Theory

Nyckelord: Mathematics, History of Mathematics