ArtEZ

Zeno's paradox

In a research about growth I came by Zeno's Paradoxes: 

In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead. – as recounted by Aristotle, Physics VI:9, 239b15 

In the paradox of Achilles and the Tortoise, Achilles is in a footrace with the tortoise. Achilles allows the tortoise a head start of 100 metres, for example. If we suppose that each racer starts running at some constant speed (one very fast and one very slow), then after some finite time, Achilles will have run 100 metres, bringing him to the tortoise's starting point. During this time, the tortoise has run a much shorter distance, say, 10 metres. It will then take Achilles some further time to run that distance, by which time the tortoise will have advanced farther; and then more time still to reach this third point, while the tortoise moves ahead. Thus, whenever Achilles reaches somewhere the tortoise has been, he still has farther to go. Therefore, because there are an infinite number of points Achilles must reach where the tortoise has already been, he can never overtake the tortoise. 

The hard thing about visualizing a paradox is that it isn't scientifically correct. I figured out that the paradox isn't about speed but about zooming in and zooming out. The smaller the distance gets the more we zoom in on the subject so that it looks like the distance didn't change, although it did. In my visualization we move through a route in Kazachstan, due to the interesting landscape, using three different windows. The speed in each window is identical but when using different zoom levels it looks like they differentiate. Growing slowy together the difference reduces more and more till it gets almost invisible.