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Grelling–Nelson paradox
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==Similarities with Russell's paradox== The Grelling–Nelson paradox can be translated into [[Russell's paradox]] in the following way. First, one must identify each adjective with the [[set (mathematics)|set]] of objects to which that adjective applies. So, for example, the adjective "red" is equated with the set of all red objects. In this way, the adjective "pronounceable" is equated with the set of all pronounceable things, one of which is the word "pronounceable" itself. Thus, an autological word is understood as a set, ''one of whose elements is the set itself''. The question of whether the word "heterological" is heterological becomes the question of whether the set of all sets which do not contain themselves contains itself.
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