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Summary Of Zeno's Four Paradoxes Of Motion

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• Zeno’s four paradoxes of motion collectively attempt to demonstrate Parmenides’ assertion that there is no motion. For the sake of simplicity and convenience, we will demonstrate Zeno’s paradoxes of motion using the first three paradoxes. We begin with the first and most well-known of the quartet: the bisection paradox. According to the bisection paradox, in order to walk across a room and reach the opposite side, one must first walk halfway across the room. Once an individual has reached the halfway point across the room, they must then reach the halfway point between their current position and the remainder of the distance to the room. The individual must complete a perpetual sequence of halfway points before ever reaching the room, making the act of doing so (theoretically) impossible. No matter how smaller the distances between each halfway points become, it never reduces to a value of zero with any given units of measurement. The second paradox is the Achilles paradox, which involves a race between Achilles and a tortoise. In this scenario, the tortoise is given a head start since it is much slower than Achilles. Once Achilles begins running after the tortoise and reaches the its starting point, the tortoise is already ahead of Achilles by a few meters. By the time Achilles reaches that same spot a few meters ahead, the tortoise still maintains its lead (albeit slightly reduced). Zeno’s second paradox attempts to demonstrate that despite Achilles’s being

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