Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics

The Emergence of Sets within Mathematics - Institutional and Intellectual Contexts in German Mathematics, 1800--1870 - A New Fundamental Notion: Riemann's Manifolds - Dedekind and the Set-theoretical Approach to Algebra - The Real Number System - Origins of the Theory of Point-Sets - Entering the Labyrinth -- Toward Abstract Set Theory - The Notion of Cardinality and the Continuum Hypothesis - Sets and Maps as a Foundation for Mathematics - The Transfinite Ordinals and Cantor's Mature Theory - In Search of an Axiom System - Diffusion, Crisis, and Bifurcation: 1890 to 1914 - Logic and Type Theory in the Interwar Period - Consolidation of Axiomatic Set Theory.

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