May 28th, 2016, 11:14 AM  #1 
Senior Member Joined: Jun 2015 From: England Posts: 566 Thanks: 146  For zylo et al Last edited by skipjack; July 9th, 2016 at 04:32 PM. 
July 9th, 2016, 06:49 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 16,944 Thanks: 1255 
Thanks.

July 10th, 2016, 06:34 PM  #3 
Math Team Joined: Jul 2011 From: Texas Posts: 2,516 Thanks: 1239 
Scanning that article left a part in my hair ... 
July 14th, 2016, 04:17 AM  #4 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,010 Thanks: 83 
It is trivially wrong. You can't do finite operations on an infinite set and expect a rational result. Cantor makes the same mistake. The only way to draw rational conclusions about infinite sets is to specify explicitly what each member is or use induction. 
July 14th, 2016, 05:17 AM  #5 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,555 Thanks: 597 Math Focus: Wibbly wobbly timeywimey stuff.  A person who has studied the problem for years and has written and published a peer reviewed paper is trivially wrong? Has this ever happened? I could see such a paper to contain a subtle mistake, it's happened plenty of times before, but not a trivial one. Once again I think you need to review your Mathematics. Dan 
July 14th, 2016, 06:45 AM  #6 
Senior Member Joined: Mar 2015 From: New Jersey Posts: 1,010 Thanks: 83 
Consider the set of natural numbers. Color the 1st red, the 2nd blue, the 3rd red, the 4th blue, and so on, alternately. Obviously the number of reds and blues are equal. Right? 

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