April 24th, 2010, 04:39 PM  #1 
Newbie Joined: Nov 2008 Posts: 25 Thanks: 0  cardinality, ZFC
Prove that has cardinality . Which axioms of ZFC are satisfied by ? Here, for a given cardinal , denotes the collection of sets whose transitive closure has cardinality less than . Also, is defined by , , , if . I do not have any good ideas on how to prove this. I would appreciate a few hints. Thanks. Link: http://en.wikipedia.org/wiki/Zermelo%E2 ... The_axioms Problem statement: http://i719.photobucket.com/albums/ww19 ... 1272155858 

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cardinality, zfc 
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