Comment by crispy_critter on But Somebody Would Have Noticed · 2010-05-05T19:04:43.651Z · LW · GW

Isn't "the set of all sets" (SAS) ill-defined? Suppose we consider it to be for some set A (maybe the set of all atoms) the infinite regression of power sets SAS = P(P(P(P....(A)))...)

In which case SAS = P(SAS) by Cantor-like arguments?

And Russell's paradox goes away?