It has been stated that in axiom of regularity , a set cannot be an element of itself and there is a proof for which S={S} . I can understand his proof since S is the only element and hence its method of proof is viable here . But , what if I change the question to S= {S,b} ( it is a set which contain itself with another element , b) . How can we prove from here that every set cannot be an element of itself by using the axiom of regularity?(adsbygoogle = window.adsbygoogle || []).push({});

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# A Question about axiom of regularity

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