# Zeno

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**Zeno of Elea** (ca 490 BC - ?) was a Greek philosopher and follower of Parmenides who devised a number of famous arguments (his Paradoxes) directed against the opponents of Parmenides.

Zeno formulated several mind-boggling questions, *Zeno's paradoxes.* They were a challenge to philosophers. For the most part, today they are considered to have been solved by the mathematical concept known as the *limit.*

One of Zeno's paradoxes claims that it is impossible ever to reach a destination, such as a house that is a mile away. For in order to walk that mile, you must first walk half a mile, leaving half a mile to go. But before you can complete that remaining half a mile, you must first walk a quarter of a mile, leaving a quarter of a mile to go... and so on. Thus, apparently, you can get closer and closer and closer to your destination but can never actually quite get there.

A possible mathematical solution is that the time it takes to make each partial step approaches zero as the number of steps approaches infinity, and they cancel each other out.