Curry's Paradox

Curry's paradox is a paradox that occurs in naive set theory or naive logics, and allows the derivation of an arbitrary sentence from a self-referring sentence and some apparently innocuous logical deduction rules. It is named after the logician Haskell Curry. While naive set theory fails to identify it, a more rigorous examination reveals that the sentence is self-contradictory.

It has also been called Löb's paradox after Martin Hugo Löb.