| Document Type
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BL
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| Record Number
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845779
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| Main Entry
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Lehman, Geoff,1971-
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| Title & Author
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The Parthenon and liberal education /\ Geoff Lehman Michael Weinman.
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| Publication Statement
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Albany, NY :: State University of New York Press,, [2018]
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| Series Statement
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SUNY Series in Ancient Greek Philosophy.
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| Page. NO
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1 online resource (xxxiii, 234 pages).
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| ISBN
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1438468431
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: 9781438468433
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9781438468419
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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.
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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.
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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?
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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.
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| Subject
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Philolaus,approximately 470 B.C.-
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Plato.
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Philolaus,approximately 470 B.C.-
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Plato.
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| Subject
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Parthenon (Athens, Greece)
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Parthenon (Athens, Greece)
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| Subject
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Mathematics-- History.
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Philosophy, Ancient.
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Mathematics.
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PHILOSOPHY-- History Surveys-- Ancient Classical.
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Philosophy, Ancient.
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| Dewey Classification
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182/.2
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| LC Classification
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B235.P44L44 2018
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| Added Entry
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Weinman, Michael
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