April 4th, 2015, 01:43 PM  #1 
Member Joined: Mar 2015 From: Brasil Posts: 90 Thanks: 4  Finite and Infinite Sets
Let \[A\] be an infinite set. For each \[n\in \mathbb{N}\] shows that there is a subset \[B\subset A\], such that \[card(B)=n\]. Note: \[card(B)=cardinality\] 
April 4th, 2015, 02:37 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,617 Thanks: 2608 Math Focus: Mainly analysis and algebra 
Surely you use induction.

April 14th, 2015, 03:06 PM  #3  
Member Joined: Mar 2015 From: Brasil Posts: 90 Thanks: 4  Quote:
Using all the steps because you can not yet.  
April 16th, 2015, 05:43 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Did you not understand what v8archie said? He told you exactly how to do this problem. What is your difficulty?

April 22nd, 2015, 08:04 AM  #5 
Member Joined: Mar 2015 From: Brasil Posts: 90 Thanks: 4 
Guy suck at statements by mathematical induction ... you do to me ??????????

April 22nd, 2015, 10:15 AM  #6 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,617 Thanks: 2608 Math Focus: Mainly analysis and algebra 
I set out the steps above. Try it, you might even succeed!


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