Zeno's Paradox is demonstrated in Part 1 of this video series. In this video I attempt a refutation of the famous paradox, a mathematical explanation of why Zeno was wrong.
Rather than accept Zeno's conclusion that Achilles can never catch up to the turtle since that requires infinitely many stages of the race, this approach demonstrates that the infinitely many stages of the race will occur in a finite amount of time, thus Achilles will indeed catch up and pass the turtle.
Thus the principle of convergence is introduced, one of the ways mathematicians handle infinite processes.
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