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Title SUNY series in ancient Greek philosophy. — The Parthenon and liberal education
Creators Lehman Geoff
Other creators Weinman Michael
Collection Электронные книги зарубежных издательств; Общая коллекция
Subjects Mathematics — History.; Philosophy, Ancient.; PHILOSOPHY — History & Surveys — Ancient & Classical.; Mathematics.; EBSCO eBooks
Document type Other
File type PDF
Language English
Rights Доступ по паролю из сети Интернет (чтение, печать, копирование)
Record key on1019835152
Record create date 12/12/2017

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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
    • 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
  • 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
  • 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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