On Sun, 21 Jul 2013 03:26:02 +0200, Kevin Wampler <nob### [at] nowherenet>  
wrote:

> On 7/20/2013 4:27 PM, Warp wrote:

> Q) All mathematical operators and functions work completely different  
> for it than for any other numbers (moreover, most of them aren't even  
> well-defined for infinity.)
>
> A) I actually find the change in how things work by including infinite  
> numbers to be *less* than the difference between the integers and the  
> reals.  Saying "All mathematical operators and functions work completely  
> different for it than for any other numbers" simply isn't true in  
> general.  It's certainly true for *some* definitions of infinity, but  
> for other definitions you get perfectly well defined addition and  
> multiplication, and for a few you even get commutative addition and  
> multiplication, as well as division, subtraction, etc.  Heck there are  
> some with these properties where you even maintain that either a <= b or  
> b <= a, which isn't even true of the complex numbers!
>

It almost seems that any mathematical operation using infinity has the  
same answer: Infinity
:)

-- 
-Nekar Xenos-

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