A seemingly absurd or self-contradictory statement or proposition that when investigated or explained may prove to be well founded or true.
"War is peace."
"Freedom is slavery."
"Ignorance is strength."
(George Orwell, 1984)
"This statement is false"; the statement cannot be false and true at the same time.
"Everything I say is a lie."
"What happens when Pinocchio says, 'My nose will grow now'?"