
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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December 15th, 2015, 07:52 AM  #1 
Senior Member Joined: Oct 2013 From: Far far away Posts: 431 Thanks: 18  Demonstrate set equivalence
Demonstrate 1to1 correspondence between the set of whole numbers and integers. My attempt... I first divided the set of whole numbers into the two sets of odd numbers and even numbers. Then I showed 1to1 correspondence between 1. The whole numbers (0 and the positive integers) and even numbers 0 to 0, 1 to 2, 3 to 6, n to 2n... 2. The set of negative integers and odd numbers 1 to 3, 3 to 2, 5 to 3, n to (n + 1)/(2)... I then conclude that since the set of even and odd numbers is the set of whole numbers, I have, in the manner above, shown a 1to1 correspondence between the whole numbers and integers. Is this acceptable? Is there a better way to do this? Thanks. 
December 15th, 2015, 07:27 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,855 Thanks: 744 
It is essentially correct (some minor errors). It is more cumbersome than necessary. Simple way to order whole numbers 0,1,1,2,2,3,3,....... 

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