"The Paradox of Zeno"

"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.

The author finds it incredible that this paradox has been
taken seriously by intelligent men for over two millennia and has not been
recognized as a form of trickery. If one accepts that in each successive
interval of time the arrow traveled half of the remaining distance to the
target, he must also accept that each of those successive intervals of time
is
half of the duration of the interval which preceded it. As a result, under
the
Paradox of Zeno, not only does the arrow never reach the target, the elapsed
time of its flight never reaches the time, T, when the arrow would reach the
target.

There is no paradox in the Paradox of the Zeno. As long as one
allows a cheap trick to fool him into considering only those events which
occur
prior to the arrival of the arrow at the target, he most certainly will
believe
that the arrow never reaches the target. The reality is that THE PASSAGE OF
TIME
DOES NOT SLOW AS THE ARROW APPROACHES THE TARGET AND THE ARROW REACHES THE
TARGET WHEN IT SHOULD.

To find the Paradox of Zeno be seriously considered as a topic
which requires a level of mathematics beyond simple arithmetic for its
resolution should lead a reasonable man to have serious doubts as to the
mental
capacity of the individuals who are engaged in the teaching process.

The source material for this posting may be found in
http://einsteinhoax/hoax.htm ("The Einstein Hoax" {1997});
http://einsteinhoax/gravity.htm; ("Gravity" {1987}); and
http://einsteinhoax/relcor.htm ("Corrections to Special Relativity" {1997}).
EVERYTHING WHICH WE ACCEPT AS TRUE MUST BE CONSISTENT WITH EVERYTHING ELSE
WE HAVE ACCEPTED AS TRUE, IT MUST BE CONSISTENT WITH ALL OBSERVATIONS, AND
IT MUST BE MATHEMATICALLY VIABLE. PRESENT TEACHINGS DO NOT ALWAYS MEET THIS
REQUIREMENT. THE WORLD IS ENTITLED TO A HIGHER STANDARD OF WORKMANSHIP FROM
THOSE IT HAS GRANTED WORLD CLASS STATUS.

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THE
MATERIAL PRESENTED. There have only been hand waving arguments by
individuals
who have mindlessly accepted the prevailing wisdom without questioning it.
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the
material at the Website will be withdrawn. Challenges to date have revealed
only
the responder's inadequacy with one exception for which a correction was
provided.


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