On Tuesday, 22 July 2014 17:09:56 UTC+2, Ben Bacarisse wrote:
> Set limits are (wrongly) thought by him to rely on > completed infinity,
You are wrong. If you cannot understand it by your own intellect, try to trust in Cantor or Hilbert. For instance the limit of the FISONs is |N, a completely finished infinite set: No natural number is existing that could be added. Hessenberg's proof ... Have you not yet understood it? An average student needs 10 minutes.
> WM may, in fact, be a classical > 0.999... = 1 denialist, except for the fact that his book states the > above equality for 1/3,
0.999... is an abbreviation of 1. The actually infinite sequence of aleph_0 nines can only exist if actual infinity exists. It does not.