Paradox

The statement below this one is false. The statement above this one is true.

That's a paradox. It's something that has an inherent contradiction, it can't possible be right because for it to be right part of it has to be wrong, or the very laws of reality have to be bent. In the conservative mind, paradoxes are commonplace, such as George W. Bush actually being elected, or being pro-life but also pro-death penalty.