Tag Archives: infinity concept

2. Here is another of Zeno’s paradoxes. A runner wishes to cover a distance of 1 km. Zeno uses the following argument to show that he/she will never succeed if, at each stage, he/she aims at covering half the remaining distance. For to do so, first he/she will have to cover half the remaining distance. That leaves $\frac{1}{4}$ km, of which he/she next covers half the distance. if he/she adopts the strategy of covering half the remaining distance each time. He/she has an infinity of operations lying ahead of him/her, with the destination always lying just that little bit ahead. What is wrong with this reasoning?