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Topic: Problems with Infinity?
Replies: 14   Last Post: Feb 27, 2013 4:22 PM

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netzweltler

Posts: 293
From: Germany
Registered: 8/6/10
Re: Problems with Infinity?
Posted: Feb 24, 2013 5:28 AM
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On 24 Feb., 10:38, Don Kuenz <garb...@crcomp.net> wrote:
> "William Elliot" <ma...@panix.com> wrote:
> > Don wrote:
> > > Let's say a Mobius strip goes to infinity "feedback style" (in layman's
> > > terms) while a line goes to two separate but equal infinities "linear
> > > style." How many different infinities does that make according to
> > > Cantor? One, two, or three?

>
> > No portion of the Mobius strip can go to infinity as it's bounded.
> > Does "go to infinity feedback style" mean anything?

>
> It's my clumsy way of saying "geometric infinity," which you address
> below. :)
>

> > The line can be consider to extend to a point at infinite.
> > Cantor did not deal with geometric infinity.
> > His infinities are the cardinalities of sets.

>
> --
> Don Kuenz


Why do you think there are different infinities in geometry? The
moebius strip is simply an infinite loop, isn't it?



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