In article <firstname.lastname@example.org>, John Gabriel <email@example.com> wrote:
> "Cantor also discussed his thinking about dimension, stressing that his > mapping between the unit interval and the unit square was not a continuous > one." - Wikipedia
Give the URL for such alleged citations if you intend to convince anyone. Any such alleged citation by so regular a liar as John Gabriel that is not immediatley verifiable will automatically rejected by every sensible reader. > > I don't think that any academic ever pbeaid attention to that statement. What > it actually says, is that a bijection between two infinite real sets does not > exist.
That may be what it would mean in JG's NC, but since that abomination fortunately was not available to Cantor, tha could not have been what Cantor meant.
It is quite possible that, in the absence of any NC, Cantor meant what he said. --