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March 15th, 2017, 06:10 PM  #1 
Newbie Joined: Mar 2017 From: canada Posts: 1 Thanks: 0  Sets (cardinality)
What is meant by odd and even cardinality in set theory. What are formulas to use them?
Last edited by skipjack; August 7th, 2017 at 10:23 PM. 
August 7th, 2017, 10:24 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 18,050 Thanks: 1395 
Do you still need help with this?

August 8th, 2017, 04:29 PM  #3 
Global Moderator Joined: May 2007 Posts: 6,342 Thanks: 534 
I presume the terms refer only to sets with finite number of elements.

September 1st, 2017, 08:42 AM  #4 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,731 Thanks: 705 
For finite sets, the "cardinality" is just the number of elements in the set. A set has even cardinality if it contains an even number of elements and has odd cardinality if it contains an odd number of elements. {a, b, c} has three elements so has odd cardinality. {a, b, c, d} has four elements so has even cardinality.


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