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Index
Cover
Front Matter
Part I. The Continuous, the Discrete, and the Infinitesimal in the History of Thought
1. The Continuous and the Discrete in Ancient Greece, the Orient, and the European Middle Ages
2. The Sixteenth and Seventeenth Centuries. The Founding of the Infinitesimal Calculus
3. The Eighteenth and Early Nineteenth Centuries: The Age of Continuity
4. The Reduction of the Continuous to the Discrete in the Nineteenth and Early Twentieth Centuries
5. Dissenting Voices: Divergent Conceptions of the Continuum in the Nineteenth and Early Twentieth Centuries
Part II. Continuity and Infinitesimals in Today’s Mathematics
6. Topology
7. Category/Topos Theory
8. Nonstandard Analysis
9. The Continuum in Constructive and Intuitionistic Mathematics
10. Smooth Infinitesimal Analysis/Synthetic Differential Geometry
Back Matter
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