Δεδομενα : Euclid's Data, or, The importance of being given

書誌事項

Δεδομενα : Euclid's Data, or, The importance of being given

the Greek text translated and explained by Christian Marinus Taisbak

(Acta historica scientiarum naturalium et medicinalium, v. 45)

Museum Tusculanum Press, University of Copenhagen, 2003

タイトル別名

Dedomena

Euclid's Data

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注記

English and Greek

Includes bibliographical references (p. [267]-268) and index

内容説明・目次

内容説明

This is a scholarly contribution to an area -- the history of Greek geometrical analysis -- that is still insufficiently understood. At the time of Zeuthen, and even up to the middle of the last century, it was fashionable to treat the Data algebraically. Taisbak has abandoned this approach completely, arguing that it does nothing to help us to understand either the development of the work or the reasons for its having been copied, studied, and quoted for more than two millennia. We must bear a queer sort of frustration that affects us everywhere in the Data: we get very little information, hardly any 'knowledge' of the givens. And why not? Probably because 'knowing' geometrical objects was problematic in those days when the concept of 'given' came into being, and the consequences of incommensurability was just being understood. Next to nothing is known of these items, and very little that is worth knowing: length, size, distance -- any of the attributes that can be spoken of by means of numbers. Although there have been two recent translations of the Data, this one is unique in providing, as well, an extensive commentary, which provides the insights gained from three decades of studying the work. The book is meant as a coherent and understandable account of what could have been going on in Euclid's mind, and some reasons for believing that that is what actually was going on in his mind.

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