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Zeno Of Elea - School Papers

Zeno Of Elea


was born in Elea, Italy, in 490 B.C. He died there in 430
B.C., in an attempt to oust the city's tyrant. He was a noted pupil of
Parmenides, from whom he learned most of his doctrines and political ideas. He
believed that what exists is one, permanent, and unchanging. Zeno argued
against multiplicity and motion. He did so by showing the contradictions that
result from assuming that they were real. His argument against multiplicity
stated that if the many exists, it must be both infinitely large and infinitely
small, and it must be both limited and unlimited in number. His argument
against motion is characterized by two famous illustrations: the flying arrow,
and the runner in the ...

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and then half the
remainder, ad infinitum. This interval will shrink infinitely, but never quite
disappear. This type of argument may be called the antinonomy of infinite
divisibilty, and was part of the dialectic which Zeno invented.
These are only a small part of Zeno's arguments, however. He is believed
to have devised at least forty arguments, eight of which have survived until the
present. While these arguments seems simple, they have managed to raise a
number of profound philosophical and scientific questions about space, time, and
infinity, throughout history. These issues still interest philosophers and
scientists today.
The problem with both Zeno's argument and yours is that neither of you deal
with adding the infinite. Your argument suggests that if one adds the infinite,
the sum will be infinity, which is not the case. If the numbers are shrinking
infinitely at the same rate, then eventually they will equal a certain number,
not infinity as both Zeno's ...

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PAPER DETAILS
Added: 5/15/2008 07:41:13 AM
Category: Biographies
Type: Premium Paper
Words: 427
Pages: 2

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