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Feb 19, 2011 at 15:30 comment added Sergey Melikhov The "too complicated" examples that Vopenka dealt with also exist in positive set theories, where moreover there is an operation of closure such that the closure of every class is a set. I must say that upon reading the Vopenka-Hajek book the idea of their fuzzy proper classes seemed a bit unintuitive to me, perhaps due to their only examples being non-mathematical, such as the "semiset of one's ancestors that were humans and not apes". There is no such problem with positive set theories; see my answer here: mathoverflow.net/questions/55981
Dec 5, 2010 at 5:49 vote accept Avi Steiner
Dec 5, 2010 at 5:48 vote accept Avi Steiner
Dec 5, 2010 at 5:49
Dec 4, 2010 at 22:38 history answered Andreas Blass CC BY-SA 2.5