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March 22nd 2008, 08:49 PM
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magicman
Peasant They/Them Netherlands duck
Mmmm, pizza. 
Riddle 4 is a variant of the liar paradox and thus cannot be given an answer.

Proof by contradiction:

Assume the riddle has an answer. Then, by the riddle itself, it wouldn't be the answer. This is a contradiction (something can't be both the answer, and not be the answer at all), so the riddle cannot have an answer.