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How many gargoyles does it take to screw in a lightbulb?
If k gargoyles can change a light bulb, and if one more simply watches them do it, then k+1 gargoyles will have changed the light bulb.
Therefore, by induction, for all n in the positive integers, n gargoyles can change a light bulb.
Logically speaking, of course. Does this sound familiar?
Not really. But consider yourself entered into the contest.