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Euclid's Data - The Importance of Being Given (Hardcover)
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Euclid's Data - The Importance of Being Given (Hardcover)
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Total price: R1,261
Discovery Miles: 12 610
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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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