The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics

Part I: The Continuous, the Discrete, and the Infinitesimal in the History of Thought.- Chapter 1. The Continuous and the Discrete in Ancient Greece, the Orient, and the European Middle Ages.- Chapter 2. The 16th and 17th Centuries: The Founding of the Infinitesimal Calculus.- Chapter 3. The 18th and Early 19th Centuries: The Age of Continuity.- Chapter 4. The Reduction of the Continuous to the Discrete in the 19th and early 20th Centuries.- Chapter 5. Dissenting Voices: Divergent Conceptions of the Continuum in the 19th ... Read More

Part I: The Continuous, the Discrete, and the Infinitesimal in the History of Thought.- Chapter 1. The Continuous and the Discrete in Ancient Greece, the Orient, and the European Middle Ages.- Chapter 2. The 16th and 17th Centuries: The Founding of the Infinitesimal Calculus.- Chapter 3. The 18th and Early 19th Centuries: The Age of Continuity.- Chapter 4. The Reduction of the Continuous to the Discrete in the 19th and early 20th Centuries.- Chapter 5. Dissenting Voices: Divergent Conceptions of the Continuum in the 19th and Early 20th Centuries.- Part II: Continuity and Infinitesimals in Today's Mathematics.- Chapter 6. Topology.- Chapter 7. Category/Topos Theory.- Chapter 8. Nonstandard Analysis.- Chapter 9. The Constructive and Intuitionistic Continua.- Chapter 10. Smooth Infiniteimal Analysis/Synthetic Geometry Read Less

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