The meaning of The dichotomy paradox

Paradox of Dichotomy In the 5th century BC, Zhi Nuo lived in the city-state of Elias in ancient Greece. It is said that he was a self-taught rural child and a friend of mathematician Parmenitz. When he visited Athens with his protector, he invented four simple paradoxes, which shocked some complacent philosophers to a loss. Zhi Nuo is also famous for his paradox, and therefore enjoys an immortal reputation in both mathematics and philosophy. Because Zhi Nuo's works have not been handed down, we can only understand his gist by criticizing his Aristotle's paraphrases in Physics. One of the four paradoxes of Zeno's Paradox is the dichotomy paradox. "Before you cross a distance, you must cross half of it." It means that an object moving towards a destination must first pass through the midpoint of the journey; However, to pass this point, you must first pass a quarter of the distance; If you want to pass a quarter, you must first pass an eighth, and so on, and so on, and so on. The conclusion drawn from this is that exercise is an inexhaustible process, and exercise can never have a beginning. /wiki/%E4%B8%A4%E5%88%86%E6%B3%95%E6%82%96%E8%AE%BA