... famous Paradoxes of Zeno, of which it is worth quoting the following: What is the fallacy of the paradox of Achilles and the tortoise? Using concepts established some 2,500 years after Zeno, here is the explanation why Achilles can finally catch up to and pass the tortoise: Although the number of time intervals is infinite, the total amount of time is not necessarily infinite. Suppose the tortoise is given a head start of 3 meters and advances at the speed of 3m/s and Achilles ambles along at 6 m/s, Achilles will catch up to the tortoise at the end of (see Appendix 1): (1) . The space above introduced by '...' stands for the infinite number of decreasing fractions called a sequence, that add up to 1 second. Although it seems not so difficult to express every term of the sum with respect to its place - no matter ...

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