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How is Zeno's paradox solved? Thanks, andrea

A number of paradoxes have been attributed to Zeno. One of them is the Paradox of the Runner : in order for a runner to get to the finish line, she needs to cross the first half of the track. Once she's done that, she needs to cross half the distance from the halfway mark to the finish line. Once she's done that, she needs to cross half the distance from that point to the finish line; etc. It seems that there are infinitely many finite intervals that she needs to traverse before she makes it to the finish line. But it's impossible to accomplish in a finite amount of time infinitely many tasks, each of which takes a finite amount of time. Therefore, the racer cannot make it to the finish line. It's common to hear that the solution is to appreciate that the sum of infinitely many finite quantities can be finite. Mathematicians have taught us, we're told, that the infinite sum: 1/2 + 1/4 + 1/8 + 1/16 + ... actually sums to 1. So, if we view the racer as traversing the first...

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