paradox is a true statement or group of statements that leads to a contradiction or a situation which defies logic or intuition. The term is also used for an apparent contradiction that actually expresses a non-dual truth such as two true sentences which put together seem incompatible as both being true. Typically however, quoted paradoxical statements do not imply a real contradiction and the puzzling results can be rectified by demonstrating that one or more of the premises themselves are not really true, a play on words, faulty and/or cannot all be true together. But many paradoxes, such as Curry's paradox, do not yet have universally accepted resolutions. The word paradox is often used interchangeably with contradiction. Literary and other artistic uses of paradoxes imply no contradiction and may be used to describe situations that are ironic. Sometimes the term paradox is used for situations that are merely surprising.
Bob: I am a Paradox
Fred: No your not