April 24th, 2010, 05:39 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 

Tags 
cardinality, zfc 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Cardinality of integers equals cardinality of reals  BenFRayfield  Number Theory  0  February 15th, 2014 03:55 PM 
[0,1] x [0,1] and [0,1] having same cardinality  BirdKiller  Real Analysis  2  December 25th, 2012 12:53 PM 
Cardinality  arthurduh1  Real Analysis  11  October 21st, 2010 03:21 PM 
Cardinality  Mighty Mouse Jr  Algebra  8  October 19th, 2010 11:46 AM 
Cardinality of P  butabi  Real Analysis  8  September 29th, 2010 01:54 AM 