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Lehman, Geoff The Parthenon and liberal education / Geoff Lehman & Michael Weinman. - Albany, NY : State University of New York Press, [2018]. - 7 p. : ill. - URL: https://cat.gpntb.ru/?id=FT/ShowFT&sid=43493a89f8238f1681a03e035aecf92c. - Includes bibliographical references and index. - ISBN 9781438468433. - ISBN 1438468431. - Текст : электронный.
Содержание:
Intro; 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 (9.587bâ#x80;#x93;588a): Philolausâ#x80;#x99;s Scale and the Final Bout between the Just and Unjust Souls; 1. The Two Interpretive Principles We Bring to Platoâ#x80;#x99;s Dialogues; Leaving Things Out.
2. Why 729? The Positive Absence of Harmony in Resp. 9.587bâ#x80;#x93;588aFrom the Five Regimes to Philolausâ#x80;#x99;s Great Year; The Unspoken Resonance of 729 for Philolaus; Chapter 2: Dialectic and the Mathematical Arts in Timaeus (35bâ#x80;#x93;36c): Philolausâ#x80;#x99;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 Platoâ#x80;#x99;s Subordination of Mathematics to Dialectic in Resp. 7.
2. Plato and the Liberal Arts: Epistemic Closure in Mathematics and the Openness of DialecticPart 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 Symmetria3. 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.
Рубрики:
Mathematics -- History
Philosophy, Ancient
PHILOSOPHY -- History & Surveys -- Ancient & Classical
Mathematics
Philosophy, Ancient

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Weinman, M.
Philolaus,\ о нем\
Plato.\ о нем\

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