Russell's paradox

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中文释义

英文释义

专有名词
  1. The paradox that a set defined to contain all sets which do not contain themselves can neither consistently contain itself nor not contain itself.
    — One concludes that there must be something fishy about the Axiom of Comprehension, and, over time, the replacement of the Axiom of Comprehension by the Schema of Separation was seen to resolve Russell's paradox. Indeed, one cannot apply the Schema of Separation as in Russell's paradox unless one knows in advance that the collection of all sets is itself a set.

词源

Named after English mathematician, logician and philosopher Bertrand Russell.
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