The unity of mathematics in Plato's "Republic":
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Stuttgart
Steiner
2015
|
| Series: | Palingenesia
102 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | 141 S. graph. Darst. 240 mm x 170 mm |
| ISBN: | 9783515110761 |
Staff View
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Record in the Search Index
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CONTENTS
PREFACE
1. ASTRONOMY IN THE REPUBLIC
INTRODUCTION
THE TWO ASTRONOMIES IN R. 1
THE CONTEMPORARY ASTRONOMY FAMILIAR TO GLAUCON
INTRODUCTION
THE FIXED-STAR PHASES
THE THEORY OF THE FIXED-STAR PHASES
THE HYPOTHESES OF CONTEMPORARY ASTRONOMY
THE CRITICISM OF CONTEMPORARY ASTRONOMY
WHY IS CONTEMPORARY ASTRONOMY MIRED IN THE SENSIBLE WORLD?
ARITHMETICAL INTERLUDE
ARCHYTAS OF TARENTUM
THE FUTURE ASTRONOMY ENVISIONED BY SOCRATES
THE HYPOTHESES OF THE FUTURE ASTRONOMY
CELESTIAL MOTIONS IN THE HYPOTHESES OF THE FUTURE ASTRONOMY
THE FUTURE ASTRONOMY AND SOLID GEOMETRY
THE PROBLEM OF CUBE-DUPLICATION
ARCHYTAS' SOLUTION
MENAECHMUS' SOLUTION
EUDOXUS' SOLUTION AND HIS THEORY OF HOMOCENTRIC SPHERES
FUTURE ASTRONOMY,
STEREOMETRY AND THE
THEORY OF HOMOCENTRIC
SPHERES .
2. THE UNITY OF MATHEMATICS IN THE REPUBLIC
INTRODUCTION
ARITHMETIC AS UNIFIER OF MATHEMATICS
THE SUPERIORITY OF ARITHMETIC AND INCOMMENSURABILITY
INCOMMENSURABILITY AND THE FUTURE ASTRONOMY IN R. 7
INCOMMENSURABILITY IN THE DIVIDED-LINE SIMILE
PHILIP OF OPUS
PROPORTION-THEORY AS UNIFIER OF MATHEMATICS
MUTUAL BENEFIT AS UNIFIER OF MATHEMATICS
THE UNITY OF SOUL AND CALLIPOLIS AS MUTUAL BENEFIT OF THEIR PARTS
THE UNITY OF MATHEMATICS AND THE MENO
TWO MODERN MATHEMATICIANS ON THE UNITY OF MATHEMATICS
ALBERT LAUTMAN ON THE UNITY OF MATHEMATICS
MATHEMATICS AND PHILOSOPHY
HTTP://D-NB.INFO/1069551848
8
CONTENTS
3. THE MYTH ABOUT PLATO'S ROLE IN THE DEVELOPMENT OF
MATHEMATICS
3.1. PLATO'S ROLE IN THE DEVELOPMENT OF ASTRONOMY 103
3.2. THE TRADITION OF THE DELIAN PROBLEM AND ITS SOURCES 109
3.2.1. THE MAIN TESTIMONIES 109
3.2.2. THE GENERATIVE PRINCIPLE OF THE TRADITION ILL
3.2.3. EVIDENCE FOR THE
APPLICATION OF THIS PRINCIPLE IN THEON 113
3.2.4. THE SOURCES OF THE TRADITION IN THE PLATONIC CORPUS 115
3.2.4.A. MENO 115
3.2.4.B. LAWS 7 116
3.2.4
.C.
EPINOMIS 117
3.2.4.D. REPUBLIC7 119
3.2.4.E. TIMAEUS 120
3.3. THE SOURCES OF THE MYTH ABOUT PLATO'S IMPACT ON ASTRONOMY 120
3.3.1. LAWS 7 120
3.3.2. LAWS 1 124
BIBLIOGRAPHY 132
INDEX OF PASSAGES 136 |
| any_adam_object | 1 |
| author | Kuremenos, Theokritos ca. 20./21. Jh |
| author_GND | (DE-588)113872224 |
| author_facet | Kuremenos, Theokritos ca. 20./21. Jh |
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| author_sort | Kuremenos, Theokritos ca. 20./21. Jh |
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| classification_rvk | CD 3065 |
| ctrlnum | (gbd)1068239 (gbd)1073262 (OCoLC)907954807 (DE-599)DNB1069551848 |
| discipline | Philosophie |
| format | Book |
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| isbn | 9783515110761 |
| language | English |
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| spelling | Kuremenos, Theokritos ca. 20./21. Jh. Verfasser (DE-588)113872224 aut The unity of mathematics in Plato's "Republic" Theokritos Kouremenos Stuttgart Steiner 2015 141 S. graph. Darst. 240 mm x 170 mm txt rdacontent n rdamedia nc rdacarrier Palingenesia 102 Plato v427-v347 Res publica (DE-588)4076164-2 gnd rswk-swf Einheit (DE-588)4013862-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik der Antike (DE-2581)TH000007621 gbd Plat. Res Publica (DE-2581)TH000002411 gbd Plato phil. TLG 0059 (DE-2581)TH000002380 gbd Plato v427-v347 Res publica (DE-588)4076164-2 u Mathematik (DE-588)4037944-9 s Einheit (DE-588)4013862-8 s DE-604 Franz Steiner Verlag Sonstige (DE-588)16075408-2 oth Erscheint auch als (DE-604)BV043565779 Palingenesia 102 (DE-604)BV000000869 102 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=5204186&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028063768&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuremenos, Theokritos ca. 20./21. Jh The unity of mathematics in Plato's "Republic" Palingenesia Plato v427-v347 Res publica (DE-588)4076164-2 gnd Einheit (DE-588)4013862-8 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4076164-2 (DE-588)4013862-8 (DE-588)4037944-9 |
| title | The unity of mathematics in Plato's "Republic" |
| title_auth | The unity of mathematics in Plato's "Republic" |
| title_exact_search | The unity of mathematics in Plato's "Republic" |
| title_full | The unity of mathematics in Plato's "Republic" Theokritos Kouremenos |
| title_fullStr | The unity of mathematics in Plato's "Republic" Theokritos Kouremenos |
| title_full_unstemmed | The unity of mathematics in Plato's "Republic" Theokritos Kouremenos |
| title_short | The unity of mathematics in Plato's "Republic" |
| title_sort | the unity of mathematics in plato s republic |
| topic | Plato v427-v347 Res publica (DE-588)4076164-2 gnd Einheit (DE-588)4013862-8 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Plato v427-v347 Res publica Einheit Mathematik |
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