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Zeno of Elea, a pre-Socratic philosopher, is best known for his paradoxes that challenged the assumptions about motion, time, and space. Zeno was a student of Parmenides, and his paradoxes were designed to support Parmenides’ doctrine that reality is unchanging and that motion and change are illusions. Zeno’s contributions are foundational in the development of Western philosophy, particularly in logic and metaphysics, and they provided crucial insights into the nature of infinity and the continuity of space and time. One of Zeno's most famous paradoxes is the "Achilles and the Tortoise" paradox, where he argues that a fast runner (Achilles) can never catch up to a slow-moving tortoise if the tortoise has a head start. Zeno asserts that even though Achilles is faster, every time Achilles reaches the point where the tortoise was, the tortoise has moved a bit further. This leads to an infinite sequence of steps, and Zeno concludes that Achilles __________ ____ _______ ______ _________ __________ __________ _________ _______.
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