Contents
Introduction
Chapter 1. The Real Line
§1.1. Why do we bother?
§1.2. Limits
§1.3. Continuity
§1.4. The fundamental axiom
§1.5. The axiom of Archimedes
§1.6. Lion hunting
§1.7. The mean value inequality
§1.8. Full circle
§1.9. Are the real numbers unique?
Chapter 2. A First Philosophical Interlude W
§2.1. Is the intermediate value theorem obvious? W
Chapter 3. Other Versions of the Fundamental Axiom
§3.1. The supremum
§3.2. The Bolzano-Weierstrass theorem
§3.3. Some general remarks
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