Torgny Tholerus  wrote:
>
>When it concerns mathematics, I have developped a set of integers that I
>myself call "unnatural numbers".  An unnatural number U is an integer
>that is bigger than every natural number N.  And the inverse of an
>unnatural number (1/U) is more close to zero than any real number.

Actually, mathematicians have already developed ideas along these 
lines--google "hyperreal numbers" (see 
http://en.wikipedia.org/wiki/Hyperreal_number for starters) and 
"non-standard analysis" (see 
http://en.wikipedia.org/wiki/Non-standard_analysis ). And if you enter 
"nonstandard analysis" on amazon you can also find some formal 
introductions, such as 
http://www.amazon.com/Lectures-Hyperreals-Introduction-Nonstandard-Mathematics/dp/038798464X/

Jesse

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