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单词 Grelling’s paradox
释义
Grelling’s paradox

Mathematics
  • Certain adjectives describe themselves and others do not. For example, ‘short’ describes itself, and so does ‘polysyllabic’. But ‘long’ does not describe itself, ‘monosyllabic’ does not, and nor does ‘green’. The word ‘heterological’ means ‘not describing itself’. The German mathematician K. Grelling pointed out what is known as Grelling’s paradox that results from considering whether ‘heterological’ describes itself or not. The paradox has some similarities with Russell’s paradox.


Philosophy
  • Some words refer to themselves: the word ‘short’ is short, and the word ‘common’ is common. Other words do not: the word ‘long’ is not long, and the word ‘banana’ is not a banana. Call these latter words ‘heterological’. Then the question arises: is the word ‘heterological’ itself heterological? It is if it is not, and is not if it is. This is one of the family of semantic paradoxes.


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