Why Calculus Does Not Solve Zeno's Paradoxes

Contrary to what you might have heard, calculus does not solve Zeno's paradoxes. The concepts of "convergence" and "limits" do not explain how infinite series can be completed.
Calculus explains how Achilles gets arbitrarily close to the tortoise, but it doesn't explain how he can overtake it.
The resolution to Zeno is simple: space isn't infinitely divisible. There is a base unit.
With discrete space, Zeno's paradoxes pose no logical problems.
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