Revolutions and continuity in Greek mathematics /:
This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical 'revolutions�...
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schriftenreihe: | Science, technology, and medicine in ancient cultures ;
v. 8. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical 'revolutions' and 'continuity'. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn's ideas on 'scientific revolutions' to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on 'geometrical algebra' and 'premodern algebra', the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of 'continuity' between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle. |
| Beschreibung: | 1 online resource (x, 391 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110565270 3110565277 |
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| 490 | 1 | |a Science, technology, and medicine in ancient cultures ; |v v. 8 | |
| 520 | |a This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical 'revolutions' and 'continuity'. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn's ideas on 'scientific revolutions' to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on 'geometrical algebra' and 'premodern algebra', the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of 'continuity' between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Introduction: revolutions in Greek mathematics / |r Sialaros, Michalis -- |t Counter-revolutions in mathematics / |r Unguru, Sabetai -- |t Diophantus and premodern algebra: new light on an old image / |r Christianidis, Jean -- |t Geometer, in a landscape: embodied mathematics in Hero's Dioptra / |r Roby, Courtney -- |t How much does a theorem cost? / |r Sialaros, Michalis -- |t Diagrammatizing mathematics: some remarks on a revolutionary aspect of ancient Greek mathematics / |r Lattmann, Claas -- |t Composition and removal of ratios in geometric and logistic texts from the Hellenistic to the Byzantine period / |r Acerbi, Fabio -- |t Why did the Greeks develop proportion theory? A conjecture / |r Mendell, Henry -- |t Recursive knowledge procedures informing the design of the Parthenon : one instance of continuity between Greek and near Eastern mathematical practices / |r Lehman, Geoff / Weinman, Michael -- |t Diophantus, al-Karajī, and quadratic equations / |r Oaks, Jeffrey A. -- |t Substantiae sunt sicut numeri: Aristotle on the structure of numbers / |r Galluzzo, Gabriele -- |t The axiomatization of mathematics and Plato's conception of knowledge in the Meno and the Republic / |r Karasmanis, Vassilis -- |t The Anthyphairetic revolutions of the Platonic ideas / |r Negrepontis, Stelios. |
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| author_additional | Sialaros, Michalis -- Unguru, Sabetai -- Christianidis, Jean -- Roby, Courtney -- Lattmann, Claas -- Acerbi, Fabio -- Mendell, Henry -- Lehman, Geoff / Weinman, Michael -- Oaks, Jeffrey A. -- Galluzzo, Gabriele -- Karasmanis, Vassilis -- Negrepontis, Stelios. |
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| contents | Introduction: revolutions in Greek mathematics / Counter-revolutions in mathematics / Diophantus and premodern algebra: new light on an old image / Geometer, in a landscape: embodied mathematics in Hero's Dioptra / How much does a theorem cost? / Diagrammatizing mathematics: some remarks on a revolutionary aspect of ancient Greek mathematics / Composition and removal of ratios in geometric and logistic texts from the Hellenistic to the Byzantine period / Why did the Greeks develop proportion theory? A conjecture / Recursive knowledge procedures informing the design of the Parthenon : one instance of continuity between Greek and near Eastern mathematical practices / Diophantus, al-Karajī, and quadratic equations / Substantiae sunt sicut numeri: Aristotle on the structure of numbers / The axiomatization of mathematics and Plato's conception of knowledge in the Meno and the Republic / The Anthyphairetic revolutions of the Platonic ideas / |
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| genre | History fast |
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| id | ZDB-4-EBA-on1037983198 |
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| indexdate | 2024-11-27T13:28:57Z |
| institution | BVB |
| isbn | 9783110565270 3110565277 |
| language | English |
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| series | Science, technology, and medicine in ancient cultures ; |
| series2 | Science, technology, and medicine in ancient cultures ; |
| spelling | Revolutions and continuity in Greek mathematics / edited Michalis Sialaros. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (x, 391 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier text file Science, technology, and medicine in ancient cultures ; v. 8 This volume brings together a number of leading scholars working in the field of ancient Greek mathematics to present their latest research. In their respective area of specialization, all contributors offer stimulating approaches to questions of historical and historiographical 'revolutions' and 'continuity'. Taken together, they provide a powerful lens for evaluating the applicability of Thomas Kuhn's ideas on 'scientific revolutions' to the discipline of ancient Greek mathematics. Besides the latest historiographical studies on 'geometrical algebra' and 'premodern algebra', the reader will find here some papers which offer new insights into the controversial relationship between Greek and pre-Hellenic mathematical practices. Some other contributions place emphasis on the other edge of the historical spectrum, by exploring historical lines of 'continuity' between ancient Greek, Byzantine and post-Hellenic mathematics. The terminology employed by Greek mathematicians, along with various non-textual and material elements, is another topic which some of the essays in the volume explore. Finally, the last three articles focus on a traditionally rich source on ancient Greek mathematics; namely the works of Plato and Aristotle. Includes bibliographical references and index. Introduction: revolutions in Greek mathematics / Sialaros, Michalis -- Counter-revolutions in mathematics / Unguru, Sabetai -- Diophantus and premodern algebra: new light on an old image / Christianidis, Jean -- Geometer, in a landscape: embodied mathematics in Hero's Dioptra / Roby, Courtney -- How much does a theorem cost? / Sialaros, Michalis -- Diagrammatizing mathematics: some remarks on a revolutionary aspect of ancient Greek mathematics / Lattmann, Claas -- Composition and removal of ratios in geometric and logistic texts from the Hellenistic to the Byzantine period / Acerbi, Fabio -- Why did the Greeks develop proportion theory? A conjecture / Mendell, Henry -- Recursive knowledge procedures informing the design of the Parthenon : one instance of continuity between Greek and near Eastern mathematical practices / Lehman, Geoff / Weinman, Michael -- Diophantus, al-Karajī, and quadratic equations / Oaks, Jeffrey A. -- Substantiae sunt sicut numeri: Aristotle on the structure of numbers / Galluzzo, Gabriele -- The axiomatization of mathematics and Plato's conception of knowledge in the Meno and the Republic / Karasmanis, Vassilis -- The Anthyphairetic revolutions of the Platonic ideas / Negrepontis, Stelios. In English. Print version record. Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Geometry History. Mathématiques grecques. Géométrie Histoire. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Geometry fast Mathematics, Greek fast History fast Sialaros, Michalis, editor. http://id.loc.gov/authorities/names/no2018080243 has work: Revolutions and continuity in Greek mathematics (Text) https://id.oclc.org/worldcat/entity/E39PCFCBtm7cJhhxfGTDQmTMbm https://id.oclc.org/worldcat/ontology/hasWork Print version: Revolutions and continuity in Greek mathematics. Berlin : De Gruyter, [2018] 3110563657 (DLC) 2018934241 (OCoLC)1014167640 Science, technology, and medicine in ancient cultures ; v. 8. http://id.loc.gov/authorities/names/no2013058586 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1800867 Volltext |
| spellingShingle | Revolutions and continuity in Greek mathematics / Science, technology, and medicine in ancient cultures ; Introduction: revolutions in Greek mathematics / Counter-revolutions in mathematics / Diophantus and premodern algebra: new light on an old image / Geometer, in a landscape: embodied mathematics in Hero's Dioptra / How much does a theorem cost? / Diagrammatizing mathematics: some remarks on a revolutionary aspect of ancient Greek mathematics / Composition and removal of ratios in geometric and logistic texts from the Hellenistic to the Byzantine period / Why did the Greeks develop proportion theory? A conjecture / Recursive knowledge procedures informing the design of the Parthenon : one instance of continuity between Greek and near Eastern mathematical practices / Diophantus, al-Karajī, and quadratic equations / Substantiae sunt sicut numeri: Aristotle on the structure of numbers / The axiomatization of mathematics and Plato's conception of knowledge in the Meno and the Republic / The Anthyphairetic revolutions of the Platonic ideas / Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Geometry History. Mathématiques grecques. Géométrie Histoire. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Geometry fast Mathematics, Greek fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082177 |
| title | Revolutions and continuity in Greek mathematics / |
| title_alt | Introduction: revolutions in Greek mathematics / Counter-revolutions in mathematics / Diophantus and premodern algebra: new light on an old image / Geometer, in a landscape: embodied mathematics in Hero's Dioptra / How much does a theorem cost? / Diagrammatizing mathematics: some remarks on a revolutionary aspect of ancient Greek mathematics / Composition and removal of ratios in geometric and logistic texts from the Hellenistic to the Byzantine period / Why did the Greeks develop proportion theory? A conjecture / Recursive knowledge procedures informing the design of the Parthenon : one instance of continuity between Greek and near Eastern mathematical practices / Diophantus, al-Karajī, and quadratic equations / Substantiae sunt sicut numeri: Aristotle on the structure of numbers / The axiomatization of mathematics and Plato's conception of knowledge in the Meno and the Republic / The Anthyphairetic revolutions of the Platonic ideas / |
| title_auth | Revolutions and continuity in Greek mathematics / |
| title_exact_search | Revolutions and continuity in Greek mathematics / |
| title_full | Revolutions and continuity in Greek mathematics / edited Michalis Sialaros. |
| title_fullStr | Revolutions and continuity in Greek mathematics / edited Michalis Sialaros. |
| title_full_unstemmed | Revolutions and continuity in Greek mathematics / edited Michalis Sialaros. |
| title_short | Revolutions and continuity in Greek mathematics / |
| title_sort | revolutions and continuity in greek mathematics |
| topic | Mathematics, Greek. http://id.loc.gov/authorities/subjects/sh85082177 Geometry History. Mathématiques grecques. Géométrie Histoire. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Geometry fast Mathematics, Greek fast |
| topic_facet | Mathematics, Greek. Geometry History. Mathématiques grecques. Géométrie Histoire. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Geometry Mathematics, Greek History |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1800867 |
| work_keys_str_mv | AT sialarosmichalis revolutionsandcontinuityingreekmathematics |