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.