Part 1 of Essay
was born in Elea, Italy, in 490 B.C. He died there in 430 B.C., in an attempt to oust the city's tyrant. He was a noted pupil of Parmenides, from whom he learned most of his doctrines and political ideas. He believed that what exists is one, permanent, and unchanging. Zeno argued against multiplicity and motion. He d ....

Part 2 of Essay
.... will continue to do so for infinity. In this way, the runner can never reach the end of the course, as it would be infinitely long, much as the semester would be infinitely long if we completed half, and then half the remainder, ad infinitum. This interval will shrink infinitely, but never quite disappear. This type of argument may be called the antinonomy of infinite divisibilty, and was part of the dialectic which Zeno invented. These are only a small part of Zeno's arguments, however. He is believed to ....