Matthew Moore wrote: > 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 + >> 1. >> > > 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!". > > MM > >
stop the damn thread! --a kitty
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