Zeno’s Achilles and the Tortoise paradox claims a faster runner can never overtake a slower one with a head start. Each time Achilles reaches the tortoise’s previous position, it has already moved ahead. Since another smaller gap always remains, the paradox concludes Achilles can never catch the tortoise. 🐢🏃‍♂️🕔


Meanwhile, his Dichotomy Paradox argues that motion is impossible because reaching a destination requires crossing infinitely many smaller distances. You must first travel halfway, then halfway of what remains, forever. Since there are infinitely many steps, the paradox concludes you can never reach your destination.


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