Ionut wrote:
http://blogoscoped.com/forum/90781.html#id90794
I read an article in a Flemish paper on this problem. And there I learned, that Infinity can be different from Infinity.
It's a very complex matter, but it can be proven.
It's even on http://en.wikipedia.org/wiki/Infinity .
Although, I'm not sure that this lets us say that infinity can be infinity + 1, but it sure lets us say that infinity (c) > infinity (aleph0).
Just wanted to let you know. :P |
Aleph 0 is the cardinal of N (the set of natural numbers) and it's different from infinity (which is a limit). |
If you read the article well, then you can read that it's the cardinality of the infinite set of Natural Numbers, which means infinity.
The infinite set of Real Numbers (which means also infinity) is bigger though. It's indeed called the Continuum.
An other clear article on the topic, I found over here:
http://www.c3.lanl.gov/mega-math/workbk/infinity/inbkgd.html
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