Revolutions and Continuity in Greek Mathematics / / ed. by Michalis Sialaros.
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 ‘c...
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Revolutions and Continuity in Greek Mathematics / ed. by Michalis Sialaros. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (X, 391 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Science, Technology, and Medicine in Ancient Cultures , 2194-976X ; 8 Frontmatter -- Preface -- Contents -- Notes on Contributors -- 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 -- Name index -- General index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Geometry History. Mathematics, Greek. Altertum. Mathematik. Revolution. Thomas Kuhn. HISTORY / Ancient / General. bisacsh Greek Mathematics. Scientific Revolutions. Acerbi, Fabio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Christianidis, Jean, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Galluzzo, Gabriele, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Karasmanis, Vassilis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lattmann, Claas, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lehman, Geoff, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mendell, Henry, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Negrepontis, Stelios, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Oaks, Jeffrey A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Roby, Courtney, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sialaros, Michalis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sialaros, Michalis, editor. edt http://id.loc.gov/vocabulary/relators/edt Unguru, Sabetai, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Weinman, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 9783110762488 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 9783110719550 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English 9783110604252 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 9783110603255 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Classical Studies 2018 English 9783110604009 Title is part of eBook package: De Gruyter EBOOK PACKAGE Classical Studies 2018 9783110603095 ZDB-23-DGD EPUB 9783110565270 print 9783110563658 https://doi.org/10.1515/9783110565959 https://www.degruyter.com/isbn/9783110565959 Cover https://www.degruyter.com/document/cover/isbn/9783110565959/original |
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English |
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Acerbi, Fabio, Acerbi, Fabio, Christianidis, Jean, Christianidis, Jean, Galluzzo, Gabriele, Galluzzo, Gabriele, Karasmanis, Vassilis, Karasmanis, Vassilis, Lattmann, Claas, Lattmann, Claas, Lehman, Geoff, Lehman, Geoff, Mendell, Henry, Mendell, Henry, Negrepontis, Stelios, Negrepontis, Stelios, Oaks, Jeffrey A., Oaks, Jeffrey A., Roby, Courtney, Roby, Courtney, Sialaros, Michalis, Sialaros, Michalis, Sialaros, Michalis, Sialaros, Michalis, Unguru, Sabetai, Unguru, Sabetai, Weinman, Michael, Weinman, Michael, |
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Acerbi, Fabio, Acerbi, Fabio, Christianidis, Jean, Christianidis, Jean, Galluzzo, Gabriele, Galluzzo, Gabriele, Karasmanis, Vassilis, Karasmanis, Vassilis, Lattmann, Claas, Lattmann, Claas, Lehman, Geoff, Lehman, Geoff, Mendell, Henry, Mendell, Henry, Negrepontis, Stelios, Negrepontis, Stelios, Oaks, Jeffrey A., Oaks, Jeffrey A., Roby, Courtney, Roby, Courtney, Sialaros, Michalis, Sialaros, Michalis, Sialaros, Michalis, Sialaros, Michalis, Unguru, Sabetai, Unguru, Sabetai, Weinman, Michael, Weinman, Michael, |
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author_sort |
Acerbi, Fabio, |
title |
Revolutions and Continuity in Greek Mathematics / |
spellingShingle |
Revolutions and Continuity in Greek Mathematics / Science, Technology, and Medicine in Ancient Cultures , Frontmatter -- Preface -- Contents -- Notes on Contributors -- 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 -- Name index -- General index |
title_full |
Revolutions and Continuity in Greek Mathematics / ed. by Michalis Sialaros. |
title_fullStr |
Revolutions and Continuity in Greek Mathematics / ed. by Michalis Sialaros. |
title_full_unstemmed |
Revolutions and Continuity in Greek Mathematics / ed. by Michalis Sialaros. |
title_auth |
Revolutions and Continuity in Greek Mathematics / |
title_alt |
Frontmatter -- Preface -- Contents -- Notes on Contributors -- 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 -- Name index -- General index |
title_new |
Revolutions and Continuity in Greek Mathematics / |
title_sort |
revolutions and continuity in greek mathematics / |
series |
Science, Technology, and Medicine in Ancient Cultures , |
series2 |
Science, Technology, and Medicine in Ancient Cultures , |
publisher |
De Gruyter, |
publishDate |
2018 |
physical |
1 online resource (X, 391 p.) Issued also in print. |
contents |
Frontmatter -- Preface -- Contents -- Notes on Contributors -- 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 -- Name index -- General index |
isbn |
9783110565959 9783110762488 9783110719550 9783110604252 9783110603255 9783110604009 9783110603095 9783110565270 9783110563658 |
issn |
2194-976X ; |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA31 |
callnumber-sort |
QA 231 R48 42018 |
url |
https://doi.org/10.1515/9783110565959 https://www.degruyter.com/isbn/9783110565959 https://www.degruyter.com/document/cover/isbn/9783110565959/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510.938 |
dewey-sort |
3510.938 |
dewey-raw |
510.938 |
dewey-search |
510.938 |
doi_str_mv |
10.1515/9783110565959 |
oclc_num |
1037983198 |
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Title is part of eBook package: De Gruyter DG Plus DeG Package 2018 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2018 Title is part of eBook package: De Gruyter EBOOK PACKAGE Classical Studies 2018 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Classical Studies 2018 |
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