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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 race. It is the illustration with the runner that is
associated the first part of the assignment. In this illustration, Zeno argued
that a runner can never reach the end of a race course. He stated that the
runner first completes half of the race course, and then half of the remaining
distance, and will continue to do so for infinity...
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