Virgil
Posts:
8,833
Registered:
1/6/11


Re: (infinity) A real story
Posted:
Oct 13, 2013 5:22 PM


In article <1a0a87bc99de4abd8011e21ee213ff2e@googlegroups.com>, mueckenh@rz.fhaugsburg.de wrote:
> On Sunday, 13 October 2013 00:17:40 UTC+2, Bergholt Stuttley Johnson wrote: > > mueckenh@rz.fhaugsburg.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)] 

