The Parthenon and liberal education /:
The Parthenon and Liberal Education seeks to restore the study of mathematics to its original place of prominence in the liberal arts. To build this case, Geoff Lehman and Michael Weinman turn to Philolaus, a near contemporary of Socrates. The authors demonstrate the influence of his work involving...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Albany, NY :
State University of New York Press,
[2018]
|
| Schriftenreihe: | SUNY series in ancient Greek philosophy.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | The Parthenon and Liberal Education seeks to restore the study of mathematics to its original place of prominence in the liberal arts. To build this case, Geoff Lehman and Michael Weinman turn to Philolaus, a near contemporary of Socrates. The authors demonstrate the influence of his work involving number theory, astronomy, and harmonics on Plato's Republic and Timaeus, and outline its resonance with the program of study in the early Academy and with the architecture of the Parthenon. Lehman and Weinman argue that the Parthenon can be seen as the foremost embodiment of the practical working through of mathematical knowledge in its time, serving as a mediator between the early reception of Ancient Near-Eastern mathematical ideas and their integration into Greek thought as a form of liberal education, as the latter came to be defined by Plato and his followers. With its Doric architecture characterized by symmetria (commensurability) and harmonia (harmony; joining together), concepts explored contemporaneously by Philolaus, the Parthenon engages dialectical thought in ways that are of enduring relevance for the project of liberal education. |
| Beschreibung: | 1 online resource (xxxiii, 234 pages). |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781438468433 1438468431 |
Internformat
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| 100 | 1 | |a Lehman, Geoff, |d 1971- |e author. |0 http://id.loc.gov/authorities/names/n2017018966 | |
| 245 | 1 | 4 | |a The Parthenon and liberal education / |c Geoff Lehman & Michael Weinman. |
| 264 | 1 | |a Albany, NY : |b State University of New York Press, |c [2018] | |
| 300 | |a 1 online resource (xxxiii, 234 pages). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a SUNY Series in Ancient Greek Philosophy. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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? | |
| 505 | 8 | |a 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. | |
| 588 | |a Description based on online resource; title from digital title page (viewed on February 15, 2019). | ||
| 520 | |a The Parthenon and Liberal Education seeks to restore the study of mathematics to its original place of prominence in the liberal arts. To build this case, Geoff Lehman and Michael Weinman turn to Philolaus, a near contemporary of Socrates. The authors demonstrate the influence of his work involving number theory, astronomy, and harmonics on Plato's Republic and Timaeus, and outline its resonance with the program of study in the early Academy and with the architecture of the Parthenon. Lehman and Weinman argue that the Parthenon can be seen as the foremost embodiment of the practical working through of mathematical knowledge in its time, serving as a mediator between the early reception of Ancient Near-Eastern mathematical ideas and their integration into Greek thought as a form of liberal education, as the latter came to be defined by Plato and his followers. With its Doric architecture characterized by symmetria (commensurability) and harmonia (harmony; joining together), concepts explored contemporaneously by Philolaus, the Parthenon engages dialectical thought in ways that are of enduring relevance for the project of liberal education. | ||
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| 600 | 0 | 0 | |a Plato. |0 http://id.loc.gov/authorities/names/n79139459 |
| 610 | 2 | 0 | |a Parthenon (Athens, Greece) |0 http://id.loc.gov/authorities/subjects/sh85098340 |
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| author | Lehman, Geoff, 1971- Weinman, Michael |
| author_GND | http://id.loc.gov/authorities/names/n2017018966 http://id.loc.gov/authorities/names/n2006079613 |
| author_facet | Lehman, Geoff, 1971- Weinman, Michael |
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| author_sort | Lehman, Geoff, 1971- |
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| contents | 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. |
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| dewey-ones | 182 - Pre-Socratic Greek philosophies |
| dewey-raw | 182/.2 |
| dewey-search | 182/.2 |
| dewey-sort | 3182 12 |
| dewey-tens | 180 - Ancient, medieval, eastern philosophy |
| discipline | Philosophie |
| format | Electronic eBook |
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| genre | Electronic books. History fast |
| genre_facet | Electronic books. History |
| id | ZDB-4-EBA-on1019835152 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:24:07Z |
| institution | BVB |
| isbn | 9781438468433 1438468431 |
| language | English |
| lccn | 2017059383 |
| oclc_num | 1019835152 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (xxxiii, 234 pages). |
| psigel | ZDB-4-EBA |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | State University of New York Press, |
| record_format | marc |
| series | SUNY series in ancient Greek philosophy. |
| series2 | SUNY Series in Ancient Greek Philosophy. |
| spelling | Lehman, Geoff, 1971- author. http://id.loc.gov/authorities/names/n2017018966 The Parthenon and liberal education / Geoff Lehman & Michael Weinman. Albany, NY : State University of New York Press, [2018] 1 online resource (xxxiii, 234 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier SUNY Series in Ancient Greek Philosophy. Includes bibliographical references and index. 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. Description based on online resource; title from digital title page (viewed on February 15, 2019). The Parthenon and Liberal Education seeks to restore the study of mathematics to its original place of prominence in the liberal arts. To build this case, Geoff Lehman and Michael Weinman turn to Philolaus, a near contemporary of Socrates. The authors demonstrate the influence of his work involving number theory, astronomy, and harmonics on Plato's Republic and Timaeus, and outline its resonance with the program of study in the early Academy and with the architecture of the Parthenon. Lehman and Weinman argue that the Parthenon can be seen as the foremost embodiment of the practical working through of mathematical knowledge in its time, serving as a mediator between the early reception of Ancient Near-Eastern mathematical ideas and their integration into Greek thought as a form of liberal education, as the latter came to be defined by Plato and his followers. With its Doric architecture characterized by symmetria (commensurability) and harmonia (harmony; joining together), concepts explored contemporaneously by Philolaus, the Parthenon engages dialectical thought in ways that are of enduring relevance for the project of liberal education. Philolaus, of Croton, approximately 470 B.C.- http://id.loc.gov/authorities/names/n92047005 Plato. http://id.loc.gov/authorities/names/n79139459 Parthenon (Athens, Greece) http://id.loc.gov/authorities/subjects/sh85098340 Parthénon (Athènes, Grèce) Philolaus, of Croton, approximately 470 B.C.- fast Plato fast Parthenon (Athens, Greece) fast Mathematics History. Philosophy, Ancient. http://id.loc.gov/authorities/subjects/sh85100861 Mathématiques Histoire. Philosophie ancienne. PHILOSOPHY History & Surveys Ancient & Classical. bisacsh Mathematics fast Philosophy, Ancient fast Electronic books. History fast Weinman, Michael, author. http://id.loc.gov/authorities/names/n2006079613 has work: The Parthenon and liberal education (Text) https://id.oclc.org/worldcat/entity/E39PCGxXgbQfvhkRMygHMgtPcd https://id.oclc.org/worldcat/ontology/hasWork Print version: Lehman, Geoff, 1971- Parthenon and liberal education. Albany, NY : State University of New York, 2018 9781438468419 (DLC) 2017013762 SUNY series in ancient Greek philosophy. http://id.loc.gov/authorities/names/n86712383 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1726727 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1726727 Volltext |
| spellingShingle | Lehman, Geoff, 1971- Weinman, Michael The Parthenon and liberal education / SUNY series in ancient Greek philosophy. 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. Philolaus, of Croton, approximately 470 B.C.- http://id.loc.gov/authorities/names/n92047005 Plato. http://id.loc.gov/authorities/names/n79139459 Parthenon (Athens, Greece) http://id.loc.gov/authorities/subjects/sh85098340 Parthénon (Athènes, Grèce) Philolaus, of Croton, approximately 470 B.C.- fast Plato fast Parthenon (Athens, Greece) fast Mathematics History. Philosophy, Ancient. http://id.loc.gov/authorities/subjects/sh85100861 Mathématiques Histoire. Philosophie ancienne. PHILOSOPHY History & Surveys Ancient & Classical. bisacsh Mathematics fast Philosophy, Ancient fast |
| subject_GND | http://id.loc.gov/authorities/names/n92047005 http://id.loc.gov/authorities/names/n79139459 http://id.loc.gov/authorities/subjects/sh85098340 http://id.loc.gov/authorities/subjects/sh85100861 |
| title | The Parthenon and liberal education / |
| title_auth | The Parthenon and liberal education / |
| title_exact_search | The Parthenon and liberal education / |
| title_full | The Parthenon and liberal education / Geoff Lehman & Michael Weinman. |
| title_fullStr | The Parthenon and liberal education / Geoff Lehman & Michael Weinman. |
| title_full_unstemmed | The Parthenon and liberal education / Geoff Lehman & Michael Weinman. |
| title_short | The Parthenon and liberal education / |
| title_sort | parthenon and liberal education |
| topic | Philolaus, of Croton, approximately 470 B.C.- http://id.loc.gov/authorities/names/n92047005 Plato. http://id.loc.gov/authorities/names/n79139459 Parthenon (Athens, Greece) http://id.loc.gov/authorities/subjects/sh85098340 Parthénon (Athènes, Grèce) Philolaus, of Croton, approximately 470 B.C.- fast Plato fast Parthenon (Athens, Greece) fast Mathematics History. Philosophy, Ancient. http://id.loc.gov/authorities/subjects/sh85100861 Mathématiques Histoire. Philosophie ancienne. PHILOSOPHY History & Surveys Ancient & Classical. bisacsh Mathematics fast Philosophy, Ancient fast |
| topic_facet | Philolaus, of Croton, approximately 470 B.C.- Plato. Parthenon (Athens, Greece) Parthénon (Athènes, Grèce) Plato Mathematics History. Philosophy, Ancient. Mathématiques Histoire. Philosophie ancienne. PHILOSOPHY History & Surveys Ancient & Classical. Mathematics Philosophy, Ancient Electronic books. History |
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