Algorithmic information theory Berry paradox, which also uses numbers definable by language. Curry's paradox Grelling–Nelson paradox Kleene–Rosser paradox List of paradoxes Löb's theorem Ordinal definable set, a set-theoretic concept of definability that is itself definable in the language of set theory Paradoxes of set theory Russell's paradox: Does the set of all those sets that do not contain themselves contain itself?