🚀 go-pugleaf

Russ Jones wrote:
> 
> On Fri, 18 Apr 1997, Drew Lawson wrote:
> 
> >
> > In article <5j4pis$3ka$1@nnrp01.primenet.com>, John Gentile
> > <bbobb@primenet.com> wrote:
> >
> > >         infinity is the highest number (usually), and there is no
> > > highest number, so infinity does not exist.
> >
> > Please seek therapy from a qualified mathematician.
> >
> Which is the larger set of numbers: All positive integers, or all integers?
> Both are infinity, but is one set twice as large as the other?
> 

According to my college calculus teacher, they're equal in size.  Both 
are "countably infinite" -- as opposed to the larger, "uncountably 
infinite" set of the rational numbers, and the still larger set of the 
real numbers.  In each case, there are an infinite number of members of 
one set between each two members of the previous.

The rule, in my mind, has always been "you have to square infinity to 
make it any bigger."

-- 
A confidence man knows he's lying; that limits his scope.  But a
successful shaman believes what he says -- and belief is contagious;
there is no limit to >his< scope.  -- Jubal Harshaw, M.D, J.D.

Donald Qualls, aka The Silent Observer           NAR # 70141-SR Insured
silent1@ix.netcom.com        http://members.aol.com/silntobsvr/home.htm 
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Opinions expressed are my own -- take them for what they're worth
and don't expect them to be perfect.