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# Seeing Infinity (for Ignite Cardiff Apr 09)

9 de Apr de 2009
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### Seeing Infinity (for Ignite Cardiff Apr 09)

1. http://www.flickr.com/photos/thomashawk/373249714/
2.
3. http://www.flickr.com/photos/rooreynolds/2104149226/
4. http://www.flickr.com/photos/rooreynolds/2104150484/
5. http://www.flickr.com/photos/mollivan_jon/67850108/
6. http://www.flickr.com/photos/pagedooley/1577999575/
7.
8. + 1 =  2   =     = 
9. Whole numbers Real numbers 1, 2, 3, 4, etc 3.5728 ⅜ √ 2
10. http://xkcd.com/10/
11. There are more real numbers between 0 and 1, than whole numbers between 1 and  . So there is something bigger than  .
12. My favourite proof…
13. 1 0.2904710830... 2 0.0448736678... 3 0.3382994002... 4 0.2345324344... 5 0.5433447814... . . . . . .
14. 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... 
15. 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...
16. 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.
17. 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 .
18.
19. http://www.flickr.com/photos/lollyknit/407335817/
20.
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