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the value of philosophical reflection
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Classroom Contents
Varieties of Mathematical Understanding
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- 1 Intro
- 2 Conceptual understanding
- 3 Challenges: Hales' theorem
- 4 Challenges: packing tetrahedra
- 5 Challenges: higher-dimensional sphere packing
- 6 Challenges: the Keller conjecture
- 7 Reactions: packing tetrahedra
- 8 Reactions: the Kepler conjecture
- 9 Reactions: higher-dimensional sphere packing
- 10 History: the inverse square law
- 11 Views of understanding change
- 12 change happens for good reasons
- 13 mathematics incorporates its past
- 14 the value of history
- 15 the value of philosophical reflection
- 16 optimism
