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Confusing problem, especially at first glance. The tortoise will continuously be moving forward one foot for every three feet the band is lengthened. Watch the numbers:
Tortoise's distance from the flower (in feet):
3 - 2 - 5 - 4 - 7 - 6 - 9 - 8 - 11...
The tortoise will get further from the flower over time, not closer.
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The peculiar evil of silencing the expression of an opinion is, that it is robbing the human race; posterity as well as the existing generation; those who dissent from the opinion, still more than those who hold it. If the opinion is right, they are deprived of the opportunity of exchanging error for truth: if wrong, they lose, what is almost as great a benefit, the clearer perception and livelier impression of truth, produced by its collision with error. ~John Stuart Mill, On Liberty
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