Why is it called a paradox? The introduction on wikipedia states that it's two different conclusions; one arrived through inductive reasoning and the other arri

Why is it called a paradox? The introduction on wikipedia states that it's two different conclusions; one arrived through inductive reasoning and the other arrived through intuition. The page seems to imply that that only the conclusion arrived through logical induction is correct. Unless the definition is stating that both conclusions are correct, I see no paradox.