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http://www.flickr.com/photos/rooreynolds/2104149226/
http://www.flickr.com/photos/rooreynolds/2104150484/
http://www.flickr.com/photos/mollivan_jon/67850108/
http://www.flickr.com/photos/pagedooley/1577999575/
 
   + 1 =    2        =             =   
Whole numbers Real numbers 1, 2, 3, 4, etc 3.5728 ⅜ √ 2
http://xkcd.com/10/
There are more real numbers between 0 and 1, than whole numbers between 1 and   . So there is something bigger than   .
My favourite proof…
1  0.2904710830... 2  0.0448736678... 3  0.3382994002... 4  0.2345324344... 5  0.5433447814... .  . .  . .  .
1  0. 2 904710830... 2  0.0 4 48736678... 3  0.33 8 2994002... 4  0.234 5 324344... 5  0.5433 4 47814... 0.24854... 
1  0. 2 904710830... 2  0.0 4 48736678... 3  0.33 8 2994002... 4  0.234 5 324344... 5  0.5433 4 47814... 0.24854...  0.45445...
1  0. 2 904710830... 2  0.0 4 48736678... 3  0.33 8 2994002... 4  0.234 5 324344... 5  0.5433 4 47814... 0.24854...  0.45445... This new number  can’t be the same  as any of the numbers in the list.
1  0. 2 904710830... 2  0.0 4 48736678... 3  0.33 8 2994002... 4  0.234 5 324344... 5  0.5433 4 47814... 0.24854...  0.45445... This new number  can’t be the same  as any of the numbers in the list. So the list didn’t contain all the real numbers:  lining the numbers up was impossible .
 
http://www.flickr.com/photos/lollyknit/407335817/
 

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