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Topic: (infinity) A real story
Replies: 16   Last Post: Oct 15, 2013 3:30 PM

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: (infinity) A real story
Posted: Oct 13, 2013 5:22 PM
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In article <1a0a87bc-99de-4abd-8011-e21ee213ff2e@googlegroups.com>,
mueckenh@rz.fh-augsburg.de wrote:

> On Sunday, 13 October 2013 00:17:40 UTC+2, Bergholt Stuttley Johnson wrote:
> > mueckenh@rz.fh-augsburg.de wrote: > potetntially infinite sets What's this?
> > I've read the books "Set Theory" by Jech and Kunen, but nothing of
> > "potentially infinite sets". You know more than Jech and Kunen?

>
> Try to learn to read, or better, try to understand.


Good advice which WM often gives but never follows himself.

> The set of all integers is infinite (infinitely comprehensive) in a
> sense which is "actual" (proper) and not "potential". (p.6)
> One may doubt whether this example really illustrates the abyss
> between finiteness and actual infinity.(p.6)
> Thus the conquest of actual infinity may be considered an expansion
> of our scientific horizon no less revolutionary than the Copernican
> system or than the theory of relativity, or even of quantum and
> nuclear physics. (p. 40)
> [.A. Fraenkel, A. Levy: "Abstract Set Theory" North Holland,
> Amsterdam (1976)]

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