Runner's Paradox: Finishing the Race in d Metres

In summary: In this case, the false premise is that the completion of an infinite number of tasks is somehow a task in its own right. In summary, the paradox of Zeno's runner is based on the assumption that completing an infinite number of tasks is impossible. However, calculus shows that a sum of infinite series can be finite, allowing the runner to successfully complete the infinite sequence of actions in a finite amount of time. The underlying issue is the confusion between the concepts of an infinite sequence and the concept of completing tasks one by one, with the mistaken belief that an infinite sequence cannot be completed one by one. This is shown to be false by a transfinite sequence,
  • #141
I'm glad we've got THAT settled!
 

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