TED-Ed: What is Zeno's Dichotomy Paradox? - Colm Kelleher

The video explores Zeno of Elea's paradoxes, focusing on the dichotomy paradox, which suggests that motion is impossible because one must traverse an infinite number of finite steps. The paradox is resolved mathematically by showing that an infinite series of finite terms can sum to a finite value. This is illustrated using a geometric approach, where a square is divided infinitely, yet the total area remains finite, demonstrating that Zeno's journey to the park takes a finite time.

Explain the dichotomy paradox as described in the text.

How does Zeno's argument lead to the conclusion that all motion is impossible?

What is the main argument presented by Zeno regarding motion?

What is the flaw in Zeno's logic regarding the infinite series of distances?

How is the paradox resolved according to the text?