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Anonymous /sci/16704874#16706387
6/24/2025, 12:11:54 PM
>>16704874
The solution to the paradox is to observe that Russel first must assume the set S exists. This is like the axiom that the universe of discourse D is nonempty, i.e. in ZF/CA that some set exists, or that the empty set exists in particular.
Since assuming S exists leads to a contradiction, S does not exist. Therefore there is no paradox: the paradox doesn't exist.