loosology

Question that inherently has no answer. Statement that can neither be true nor false. Backformation and opposite of tautology.

"This sentence is a lie." is a loosology because if it's true then it's false, and if it's false then it's true.

"What is north of the north pole?" is a loosology. You could answer "nothing" yet when you get there you can keep going in the same direction.

"What should you say to someone who won't listen?" is a loosology because if there were an answer it would be inherently pointless.

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