Re: Could you recommend CD/DVD writer program?
On Friday October 16 2009 10:56:29 am Boyd Stephen Smith Jr. wrote:
> 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?
The size of a set is a cardinal number. Generally, when you talk about the
"size" of a set, you are referring to it's cardinality.
> 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 +
I suppose that you are thinking of the "length of the thread" as the length of
the maximal ascending (or descending) ordered chain (here a<b if and only if b
is a reply to a). I admit that I interpreted "this thread has to stop!" as
"this thread must stop having additional members added to it!" and not "this
thread must have a finite maximal chain!".