English

Is Zero a Natural Number?

History and Overview 2011-02-03 v1

Abstract

It is argued that zero should be considered as a cardinal number but not an ordinal number. One should make a clear distinction between order types that are labels for well-ordered sets and ordinal numbers that are labels for the elements in these sets.

Cite

@article{arxiv.1102.0418,
  title  = {Is Zero a Natural Number?},
  author = {Peter Harremoës},
  journal= {arXiv preprint arXiv:1102.0418},
  year   = {2011}
}
R2 v1 2026-06-21T17:20:31.272Z