How did Zeno resolve the Achilles and the tortoise paradox?

Zeno of Elea (c. 450 BCE) is credited with creating several famous paradoxes, and perhaps the best known is the paradox of the Tortoise and Achilles. ... The Tortoise challenged Achilles to a race, claiming that he would win as long as Achilles gave him a small head start. .... Now the resolution to Zeno's Paradox is easy. read more

While Achilles is covering the gap between himself and the tortoise that existed at the start of the race, however, the tortoise creates a new gap. The new gap is smaller than the first, but it is still a finite distance that Achilles must cover to catch up with the animal. read more

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 meters, for example. read more