II. The World Conception of the Greek Thinkers

Parmenides sees the Untrue, the Deceiving, in sense-perceived, external nature. He sees what alone is true in the Unity, the Imperishable that is seized by thought. Zeno tries to come to terms with, and do justice to, the thought experience by pointing out the contradictions that result from a world view that sees truth in the change of things, in the process of becoming, in the multiplicity that is shown by the external world. One of the contradictions pointed out by Zeno is that the fastest runner (Achilles) could not catch up with a turtle, for no matter how slowly it moved, the moment Achilles arrived at the point it had just occupied, it would have moved on a little. Through such contradictions Zeno intimates how a conceptual imagination that leans on the external world is caught in self-contradiction. He points to the difficulty such thought meets when it attempts to find the truth.