Chapters in this book

1. Front Matter i
2. Contents v
3. Illustrations vii
4. Acknowledgments xi
5. Introduction xiii
6. Plato on Dialectic and the Problem-Based Study of Mathematics
7. Dialectic and the Mathematical Arts in Republic (9.587b–588a) 3
8. Dialectic and the Mathematical Arts in Timaeus (35b–36c) 23
9. Platonic Dialectic, Pythagorean Harmonics, and Liberal Arts Education 39
10. Harmonia and Symmetria of the Parthenon
11. The Parthenon and the Musical Scale 61
12. The Corner Problem 105
13. Refinements and the Question of Dialectic 129
14. Afterword 157
15. Pythagorean Musical Ratios 165
16. Principal Measurements of the Parthenon 167
17. Elements of the Doric Order 169
18. Ground Plan of the Parthenon 171
19. Glossary of Technical Terms 173
20. Notes 177
21. Works Cited 211
22. Index 223