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Q: How many Mathematicians does it take to change a lightbulb?

1: None. It's left to the reader as an exercise.

2: One. He gives it to 7 Enterprise crew members, thereby reducing the problem to an earlier joke.

3: In earlier work, Someone [1] has shown that one mathematician can change a light bulb.

If k mathematicians can change a light bulb, and if one more simply watches them do it, then k+1 mathematicians will have changed the light bulb.

Therefore, by induction, for all n in the positive integers, n mathematicians can change a light bulb.


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