On 10 Dez., 01:58, "K_h" <KHol...@SX729.com> wrote:
> > When using an intermediate reservoir, as shown in my > > lesson > >http://www.hs-augsburg.de/~mueckenh/GU/GU12.PPT#394,22,Folie > > 22 > > it becomes clear that N cannot be generated by adding > > number after > > number. > > Why not? Say we have an infinitely large sheet of paper and > we print each natural number, n, on the paper at time > t=1-1/(n+1). Certainly at time t=1 we have all the naturals > printed on the page.
It seems so. But it is wrong. You see it if you consider the alternative process using an intermediate reservoir as "realized" in my lesson above.
The set in the middle contains a number at every time after t = 0. Hence this number cannot yet have been printed on the paper (because it will be printed only after its follower will have entered the reservoir).