That which is in locomotion must arrive at the half-way stage before it arrives at the goal.
— as recounted by Aristotle,
Suppose Atalanta wishes to walk to the end of a path. Before she can get there, she must get halfway there. Before she can get halfway there, she must get a quarter of the way there. Before traveling a quarter, she must travel one-eighth; before an eighth, one-sixteenth; and so on.
Similar paradoxes:
Achilles and the tortoise
Arrow paradox

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