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When we did Zeno's Paradox at school, I came up with a "harder" variation: We have a switch that turns a light bulb off and on; the light bulb is off; we switch it on after a second; we switch it off again after another half second; we switch it on again after another quarter of a second, etc., etc. After a total of two seconds: is the light bulb on or off?

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The answer is off, because as the rate of switching the light on and off gets to a certain point, a massive amounts of heat is generated which melts the circuit.

The fun thing about infinities is that they don't exist, and you can't prove they exist because you don't have time or accurate enough measuring devices to do it.

This analogous to the "grim reaper paradox"

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