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Question related to "Foundations of Mathematics"
Posted:
Mar 10, 2012 12:20 PM


I made up it, I didn't find anything about it, so I need help.
The question is: How do different set theories handle the following definition?
U := {x : (x belongs_to A) and ( Not(A is_included_in Powerset( EmptySet)) )}
If possible in the set theory, require (A is_set). But it doesn't really matter.
The set U is interesting for some reasons.
The answer will help me a lot in my PhD. research.
Thank You.



