Q: What's the correct answer to this question
[{(This is an entry in the Troll King Contest)}]
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This is a variant of the classical Liar's paradox which is the paradoxical situation where a liar says that he/she's lying.
We all know the story of Pinocchio and that his nose grows every time he lies. Now, what Pinocchio is saying is:
Try to assign a binary truth value to this statement.
Case 1 (True): If you assign it 1 , i.e., it is true, then it implies that his nose will grow which further implies he's lying. But if he's lying, then the statement is itself false and that contradicts the assigning of truth value 1 .
Case 2 (False): If you assign it 0 , i.e., it is false, then it implies that his nose will not grow which further implies that he isn't lying. But if he isn't lying, then the statement is itself true and that contradicts the assigning of truth value 0 .
Bottom line, this is a paradox in which you cannot assign a binary truth value to the statement made as you can do with most statements in general.