English

Lofty Models of Peano Arithmetic

Logic 2020-03-13 v2

Abstract

If M is a nonstandard model of Peano Arithmetic, then M is lofty iff M has a simple elementary extension that is recursively saturated. This had previously been known for countable M.

Cite

@article{arxiv.2002.06639,
  title  = {Lofty Models of Peano Arithmetic},
  author = {James H. Schmerl},
  journal= {arXiv preprint arXiv:2002.06639},
  year   = {2020}
}

Comments

Withdrawn: The proof is faulty

R2 v1 2026-06-23T13:43:14.490Z