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To: VadeRetro
The way in which calculus is often used to solve Achilles and the Tortoise and the Dichotomy through the summation of an infinite series by employing the mathematical techniques developed by Cauchy, Weierstrass, Dedekind and Cantor, certainly provides the correct answer in a strictly mathematical sense by giving up the desired numbers at the end of calculation.

This is a clever bit of writing. The start of a cat fight.

45 posted on 07/31/2003 8:35:24 AM PDT by js1138
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To: js1138
Zeno's paradox is set up as an infinite set, which is a thought experience, not a reality experience.
46 posted on 07/31/2003 8:42:05 AM PDT by Nebullis
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To: js1138
The start of a cat fight.

It looks like an airy, hand-waving dismissal. Zeno's paradoxes are like the geometric demonstration that two unequal-length line segments contain the same (infinite) number of points, and/or the demonstration that every point in the real number line has a corresponding point in the subset segment of the line between 0.0 and 1.0. In fact, Zeno's paradoxes basically are those paradoxes turned into word problems.

Cantor for sure, who explored the properties of infinite sets, deserves better than he seems to be getting from Lynds here. So there will probably be hackles raised.

48 posted on 07/31/2003 8:51:08 AM PDT by VadeRetro
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