Textual Studies in Ancient and Medieval Geometry

Textual Studies in Ancient and Medieval Geometry PDF Author: W.R. Knorr
Publisher: Springer Science & Business Media
ISBN: 1461236908
Category : Mathematics
Languages : en
Pages : 850

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Book Description
For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.

Textual Studies in Ancient and Medieval Geometry

Textual Studies in Ancient and Medieval Geometry PDF Author: W.R. Knorr
Publisher: Springer Science & Business Media
ISBN: 1461236908
Category : Mathematics
Languages : en
Pages : 850

Get Book Here

Book Description
For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.

Textual Studies in Ancient and Medieval Geometry

Textual Studies in Ancient and Medieval Geometry PDF Author: Wilbur Richard Knorr
Publisher:
ISBN: 9783764333874
Category : Geometry
Languages : en
Pages : 852

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Book Description


The Greek Pursuit of Knowledge

The Greek Pursuit of Knowledge PDF Author: Pierre Pellegrin
Publisher: Harvard University Press
ISBN: 9780674021556
Category : History
Languages : en
Pages : 420

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Book Description
Ancient Greek thought is the essential wellspring from which the intellectual, ethical, and political civilization of the West draws and to which, even today, we repeatedly return. In this volume drawn from the reference work Greek Thought: A Guide to Classical Knowledge, major scholars take up basic topics in philosophy and science, offering an account of the extraordinary explosion of desire for knowledge in the classical Greek world.

On Pythagoreanism

On Pythagoreanism PDF Author: Gabriele Cornelli
Publisher: Walter de Gruyter
ISBN: 3110318504
Category : Philosophy
Languages : en
Pages : 552

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Book Description
The purpose of the conference “On Pythagoreanism”, held in Brasilia in 2011, was to bring together leading scholars from all over the world to define the status quaestionis for the ever-increasing interest and research on Pythagoreanism in the 21st century. The papers included in this volume exemplify the variety of topics and approaches now being used to understand the polyhedral image of one of the most fascinating and long-lasting intellectual phenomena in Western history. Cornelli’s paper opens the volume by charting the course of Pythagorean studies over the past two centuries. The remaining contributions range chronologically from Pythagoras and the early Pythagoreans of the archaic period (6th-5th centuries BCE) through the classical, hellenistic and late antique periods, to the eighteenth century. Thematically they treat the connections of Pythagoreanism with Orphism and religion, with mathematics, metaphysics and epistemology and with politics and the Pythagorean way of life.

Pappus of Alexandria: Book 4 of the Collection

Pappus of Alexandria: Book 4 of the Collection PDF Author: Heike Sefrin-Weis
Publisher: Springer Science & Business Media
ISBN: 1849960054
Category : Mathematics
Languages : en
Pages : 347

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Book Description
Although not so well known today, Book 4 of Pappus’ Collection is one of the most important and influential mathematical texts from antiquity. The mathematical vignettes form a portrait of mathematics during the Hellenistic "Golden Age", illustrating central problems – for example, squaring the circle; doubling the cube; and trisecting an angle – varying solution strategies, and the different mathematical styles within ancient geometry. This volume provides an English translation of Collection 4, in full, for the first time, including: a new edition of the Greek text, based on a fresh transcription from the main manuscript and offering an alternative to Hultsch’s standard edition, notes to facilitate understanding of the steps in the mathematical argument, a commentary highlighting aspects of the work that have so far been neglected, and supporting the reconstruction of a coherent plan and vision within the work, bibliographical references for further study.

The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder

The Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder PDF Author: Archimedes
Publisher: Cambridge University Press
ISBN: 0521661609
Category : Mathematics
Languages : en
Pages : 389

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Book Description
Volume 1 of the first authoritative translation of Archimedes' works into English.

Handbook on the History of Mathematics Education

Handbook on the History of Mathematics Education PDF Author: Alexander Karp
Publisher: Springer Science & Business Media
ISBN: 146149155X
Category : Mathematics
Languages : en
Pages : 627

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Book Description
This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and varied history of mathematics education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, however brief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the information they need about historical developments in mathematics education, not only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of the history of education in general, as well as specialists in cultural and even social history.

Hellenistic Science at Court

Hellenistic Science at Court PDF Author: Marquis Berrey
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110541939
Category : History
Languages : en
Pages : 282

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Book Description
The development of science in the modern world is often held to depend on such institutions as universities, peer-reviewed journals, and democracy. How, then, did new science emerge in the pre-modern culture of the Hellenistic Egyptian monarchy? Berrey argues that the court society formed around the Ptolemaic pharaohs Ptolemy III and IV (reigned successively 246-205/4 BCE) provided an audience for cross-disciplinary, learned knowledge, as physicians, mathematicians, and mechanicians clothed themselves in the virtues of courtiers attendant on the kings. The multicultural Greco-Egyptian court society prized entertainment that drew on earlier literature, mixed genres and cultures, and highlighted motion and sound. New cross-disciplinary science in the Hellenistic period gained its social currency and subsequent scientific success through its entertainment value as court science. Ancient court science sheds light on the long history of scientific interdisciplinarity.

The Mechanical Tradition of Hero of Alexandria

The Mechanical Tradition of Hero of Alexandria PDF Author: Courtney Ann Roby
Publisher: Cambridge University Press
ISBN: 1316516237
Category : History
Languages : en
Pages : 309

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Book Description
The first book on Hero, a key figure in the history of technology in antiquity and the early modern period.

Simplicius: On Aristotle Physics 1–8

Simplicius: On Aristotle Physics 1–8 PDF Author:
Publisher: Bloomsbury Publishing
ISBN: 1350286648
Category : Philosophy
Languages : en
Pages : 177

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Book Description
Supporting the twelve volumes of translation of Simplicius' great commentary on Aristotle's Physics, all published by Bloomsbury in the Ancient Commentators on Aristotle series, between 1992 and 2021, this volume presents a general introduction to the commentary. It covers the philosophical aims of Simplicius' commentaries on the Physics and the related text On the Heaven; Simplicius' methods and his use of earlier sources; and key themes and comparison with Philoponus' commentary on the same text. Simplicius treats the Physics as a universal study of the principles of all natural things underlying the account of the cosmos in On the Heaven. In both treatises, he responds at every stage to the now lost Peripatetic commentaries of Alexander of Aphrodisias, which set Aristotle in opposition to Plato and to earlier thinkers such as Parmenides, Empedocles and Anaxagoras. On each passage, Simplicius after going through Alexander's commentary raises difficulties for the text of Aristotle as interpreted by Alexander. Then, after making observations about details of the text, and often going back to a direct reading of the older philosophers (for whom he is now often our main source, as he is for Alexander's commentary), he proposes his own solution to the difficulties, introduced with a modest 'perhaps', which reads Aristotle as in harmony with Plato and earlier thinkers.