On the Shanghai metro yesterday, we saw a man with a T-shirt bearing the caption


Do I smell a trace of Cantor’s diagonal argument here? Perhaps even Russell’s paradox? Suppose that every social club is named after a person, and a person X is antisocial if X is not a member of the X club. Then let the club of antisocial people be the Y club, and ask: Is Y social or antisocial?

Perhaps you would like to formalise this …


About Peter Cameron

I count all the things that need to be counted.
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