>>> writes: > On Mon, Jul 04, 2022 at 09:42:01AM +0200, Uwe Brauer wrote: > [...] >> That is the first time I remember that on this list, questions of the >> foundation of mathematics are discussed 😉 > Such things happen :) >> Back to the point, maybe I am too conservative, but I would include 0 >> within the natural numbers, > If you really were, you wouldn't. Peano himself didn't ;-) Well, as far as I remember my university first course, he did, and according to wikipedia https://en.wikipedia.org/wiki/Peano_axioms or you mentioned German https://de.wikipedia.org/wiki/Peano-Axiome He did! But I have no access right now to his original work >> and the example I started with, needs to >> cover that case (student marks range between 0 to 10 both included), so >> sorting should work (for me) in that case. > See? I went to school in Spain, so I know about that 0..10 scale. > But then I went to school in Germany, so I also know about the > 6..1 scale. Go figure :) Well, but Germany switched to the 0-15 scale a long long time ago, at least for high school.... >> I don't see, so far any benefit for not considering 0 in that sorting >> process. > But your concrete problem isn't a sorting process at all, just a > conversion process: empty space gets translated to zero. As someone > else found out in this thread. Ah right, ok so that seems then a but to me, the whole point of my sorting is to find empty fields. Uwe -- I strongly condemn Putin's war of aggression against the Ukraine. I support to deliver weapons to Ukraine's military. I support the ban of Russia from SWIFT. I support the EU membership of the Ukraine.