Russell’s paradox
The most famous of the paradoxes in the foundations of *set theory, discovered by *Russell in 1901. Some classes have themselves as members: the class of all abstract objects, for example, is an abstract object. Others do not: the class of donkeys is not itself a donkey. Now consider the class of all classes that are not members of themselves. Is this class a member of itself? If it is, then it is not, and if it is not, then it is.... ...
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