Re: Does the Arrow Move? How can Anything Move?
extra medium wrote:
But it is impossible to pass through an infinity of points in a finite time.
This is false. When you divide the distance an object has to traverse at any given speed in half, you also divide the time it takes to traverse it in half. Thus, if you take some given distance, and divide it into the sum of two pieces, each piece takes half as long to traverse, and thus the sum of the two takes the same amount of time. If you divide the distance into n pieces, each takes 1/n times as long to traverse, and together they take the same amount of time. As n approaches infinity, n times (1/n) doesn't change. It's a pity that Zeno was unable to study the theory of limits.