When I was a kid I read a story in Reader's Digest about two guys who were on a planet where the computer controlled the weather system. One of them dislikes technology, and he plans to pull a stunt to show how he can freeze the computer.
He challenges the computer "you are going to reject any affirmation I make because it's wrong" throwing it into a logical loop and making the computer freeze. To his surprise the computer gets busy with the riddle and condemns everyone in the station to death.