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 December 15th, 2015, 06:52 AM #1 Senior Member     Joined: Oct 2013 From: Far far away Posts: 429 Thanks: 18 Demonstrate set equivalence Demonstrate 1-to-1 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 1-to-1 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 1-to-1 correspondence between the whole numbers and integers. Is this acceptable? Is there a better way to do this? Thanks.
 December 15th, 2015, 06:27 PM #2 Global Moderator   Joined: May 2007 Posts: 6,821 Thanks: 723 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,....... Thanks from shunya

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