Take this whirlwind tour of how to count infinity and learn that, counter intuitively, all infinities are not the same size.
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How one infinity can be bigger than another
14 Monday May 2012
Posted in Math, Science Videos
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The real question is… how MUCH bigger are some infinities than others? ;)
Sounds to me like some infinities GROW FASTER than others, but I’m not yet convinced that they are “BIGGER”. The crux of the proof seems to be that integer #1 maps to real value #0.1, 2 map to 0.2 ….. but then 10 cannot map to 0.10 because that value has already been mapped to 1; but it can be mapped to 0.11, and then 11 can be mapped to 0.12. But we’ve got infinite numbers to map, so who cares?
Maybe I’m just missing something.