On Friday 16 October 2009 11:03:13 Matthew Moore wrote:
> On Friday October 16 2009 9:11:05 am Lee Winter wrote:
> > And you are adding to it in order to shorten it?
>
> This thread is much like any infinite set. Adding a finite number of
> elements to it does not change it's size.

By size do you mean cardinality or ordinality?

You can take a set of (infinite) ordinality aleph-naught and add single new 
element that is greater than all the others (generally denoted "1*") and get a 
new set of the same cardinality but an ordinality of aleph-naught + 1.
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