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The Paradox of Zeno
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October 8th 03 posted to sci.physics
Peter Riedt
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The Paradox of Zeno
(Deloated10) wrote in message ...
The Paradox of Zeno
The Paradox of Zeno is 2000 years old and its apparent ability
to prove that all motion is impossible was not resolved until the mathematical
techniques of Calculus became available, even though that technique is not
required. One form of the paradox describes the flight of an arrow which has
been shot at a target. The arrow is shot at a constant velocity, V, to a target
at a distance, L, and the time of flight is divided into intervals. In the
first
interval, the arrow covers half of the distance to the target and, in each
succeeding interval of time, it covers half of the remaining distance. Under
the
line of reasoning presented, the arrow never reaches the target because, after
each successive interval of time, one half of the distance to the target that
existed at the beginning of the interval remains.
Delo, perhaps Zeno was half right. Not all arrows reach their target.
Peter Riedt
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