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- Thread starter gilboy64
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Achilles and a tortoise raises. the tortoise starts ahead of achilles, let's call the distance d. In order for achilles to pass the turtle, he must pass the point the turtle is at now. When achilles has reached the point d, the tortoise has moved another small distance, d2. When achilles has reached d+d2, the tortoise has moved the distance d3, and so on, whenever achilles has come closer to the tortoise, it has moved another small distance and draws the conclusion, achilles will never reacht he trutle.

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Maby im mad!

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Zeno is not claiming the hare can never pass the tortoise (he was not an idiot); he is merely pointing out a paradox in the mental concept of a continuous path. Furthermore, it is a well known physical fact that one cannot specify the exact position of any real object: to do so would be a direct violation of the uncertainty principal. Essentially, modern physics arrived at exactly the same conclusion (in a slightly different form). What is actually quite astounding is that Zeno perceived the existence of such a problem so long ago.

In modern physics, there cannot possibly exist a proof that any given object actually existed at every point along its path. To perform an examination of such an issue would require an infinite number of measurements and, as Zeno has so clearly pointed out, such an examination cannot be performed. The fact that an object exists along its path (when not being examined) is no more than an assumption convenient to our mathematical view of its behavior.

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Sounds to me like the only reason why it's a paradox, is because the've neglected to take into account one very important variable, it'sgilboy64 said:

Maby im mad!