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Plato's forms, mathematics and astronomy (Hardcover)
Loot Price: R3,924
Discovery Miles 39 240
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Plato's forms, mathematics and astronomy (Hardcover)
Series: Trends in Classics - Supplementary Volumes
Expected to ship within 12 - 17 working days
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Plato's view that mathematics paves the way for his philosophy of
forms is well known. This book attempts to flesh out the
relationship between mathematics and philosophy as Plato conceived
them by proposing that in his view, although it is philosophy that
came up with the concept of beings, which he calls forms, and
highlighted their importance, first to natural philosophy and then
to ethics, the things that do qualify as beings are inchoately
revealed by mathematics as the raw materials that must be further
processed by philosophy (mathematicians, to use Plato's simile in
the Euthedemus, do not invent the theorems they prove but discover
beings and, like hunters who must hand over what they catch to
chefs if it is going to turn into something useful, they must hand
over their discoveries to philosophers). Even those forms that do
not bear names of mathematical objects, such as the famous forms of
beauty and goodness, are in fact forms of mathematical objects. The
first chapter is an attempt to defend this thesis. The second
argues that for Plato philosophy's crucial task of investigating
the exfoliation of the forms into the sensible world, including the
sphere of human private and public life, is already foreshadowed in
one of its branches, astronomy.
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