Zeno's paradox stumped philosophers, mathematicians, and intellectuals for millennia. It took physics to finally solve it.
... [+]
convergent series: one entire"thing" can be obtained by summing up one half plus one fourth plus one eighth, etc.But it's also flawed. This mathematical line of reasoning is only good enough to show that the total distance you must travel converges to a finite value. It doesn't tell you anything about how long it takes you to reach your destination, and that's the tricky part of the paradox.
smaller than the previous term, but the total series still diverges: i.e., has a sum that tends towards infinity. It is not enough to contend that time jumps get shorter as distance jumps get shorter; a quantitative relationship is necessary.It might seem counterintuitive, but pure mathematics alone cannot provide a satisfactory solution to the paradox.
But if something is in constant motion, the relationship between distance, velocity, and time becomes very simple: distance=velocity * time.... [+] John D. Norton, via http://www.pitt.edu/~jdnorton/teaching/HPS_0410/chapters/Special_relativity_clocks_rods/
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