On 7/21/2013 12:34 AM, Warp wrote:
> Kevin Wampler <nob### [at] nowherenet> wrote:
>>    I agree with limits that it's a notational shortcut, but there are
>> many many other ways of defining infinity quantities, and some of them
>> behave quite a bit like numbers.
>
> So how do you define infinity so that it's a number?
>

I would count any of the following, but you may find the last two to be 
better examples than the first two:

1) cardinal numbers: http://en.wikipedia.org/wiki/Cardinal_number
2) ordinal numbers: http://en.wikipedia.org/wiki/Ordinal_number
3) extended complex plane: http://en.wikipedia.org/wiki/Riemann_sphere
4) surreal numbers: http://en.wikipedia.org/wiki/Surreal_number

There are probably plenty of other ways too, but these are the ones that 
come to mind for me.

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