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SUNY series in ancient Greek philosophy.
The Parthenon and liberal education / Geoff Lehman & Michael Weinman. — 1 online resource (xxxiii, 234 pages). — (SUNY Series in Ancient Greek Philosophy.). — <URL:http://elib.fa.ru/ebsco/1726727.pdf>.
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12.12.2017
Тематика
Mathematics — History.; Philosophy, Ancient.; PHILOSOPHY — History & Surveys — Ancient & Classical.; Mathematics.; Philosophy, Ancient.
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- Contents
- List of Illustrations
- Acknowledgements
- Introduction: Thinking the Parthenon and Liberal Arts Education Together
- 1. The Parthenon as an Institution of Liberal Arts Education
- 2. The Parthenon and the Historiography of Greek Mathematics
- Part I: Plato on Dialectic and the Problem-Based Study of Mathematics
- Chapter 1: Dialectic and the Mathematical Arts in Republic (9.587b–588a): Philolaus’s Scale and the Final Bout between the Just and Unjust Souls
- 1. The Two Interpretive Principles We Bring to Plato’s Dialogues
- Leaving Things Out
- 2. Why 729? The Positive Absence of Harmony in Resp. 9.587b–588a
- From the Five Regimes to Philolaus’s Great Year
- The Unspoken Resonance of 729 for Philolaus
- 1. The Two Interpretive Principles We Bring to Plato’s Dialogues
- Chapter 2: Dialectic and the Mathematical Arts in Timaeus (35b–36c): Philolaus’s Scale in the Construction of the World-Soul
- 1. Our Interpretive Principles as Applied to Timaeus
- 2. Dialectic and the Debt to Philolaus
- Chapter 3: Platonic Dialectic, Pythagorean Harmonics, and Liberal Arts Education
- 1. Pythagorean Harmonics and Plato’s Subordination of Mathematics to Dialectic in Resp. 7
- 2. Plato and the Liberal Arts: Epistemic Closure in Mathematics and the Openness of Dialectic
- Chapter 1: Dialectic and the Mathematical Arts in Republic (9.587b–588a): Philolaus’s Scale and the Final Bout between the Just and Unjust Souls
- Part II: Harmonia and Symmetria of the Parthenon
- Chapter 4: The Parthenon and the Musical Scale
- 1. Introduction: The Discovery of the Irrational
- 2. Symmetria and the Doric Order
- 3. Continuous Proportion as Construction
- 4. On Beauty; or, Arithmetic and Geometry as Liberal Arts
- Chapter 5: The Corner Problem
- 1. Remainders and Adjustments
- 2. The Kanon of Polykleitos
- Chapter 6: Refinements and the Question of Dialectic
- 1. The Refinements: Optical or Ontological?
- 2. Column Inclination: Harmonia over Symmetria
- 3. Curvature: Toward Dialectic
- Chapter 4: The Parthenon and the Musical Scale
- Afterword
- Appendix A: Pythagorean Musical Ratios
- Appendix B: Principal Measurements of the Parthenon
- Appendix C: Elements of the Doric Order
- Appendix D: Ground Plan of the Parthenon
- Appendix E: Glossary of Technical Terms
- Notes
- Works Cited
- Index
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