Re: abundance of irrationals!)

"*** T. Winter" <***.Winter@xxxxxx> wrote in message news:<IELt6z.K7v@xxxxxx>...
> In article <fb701d3c.0504070924.365080fe@xxxxxxxxxxxxxxxxxx> mueckenh@xxxxxxxxxxxxxxxxx (W. Mueckenheim) writes:
> > > NO! Where did you get the stupid notion that the limit need be
> > > "contained" in a series any more than in a sequence?
> >
> > It is a stupid idea, in fact. And I am glad to see you are not sharing
> > it. But some people, even mathematicians, do not see a difference
> > between the limit
> >
> > oo
> > SUM (1/2^k) = 1
> > k=1
> >
> > and
> >
> > SUM (1/2^k)
> > k e N
>
> Can you tell the difference? If so, please provide the definition you use
> for the first and the definition you use for the second.

oo is not a natural number. That is the difference.
(concerning > > NO! Where did you get the stupid notion that the limit
need be "contained")

Regards, WM
.

Quantcast