Submission date: 27 December 2022

Abstract:

Let T be a countable complete first-order theory with a definable, infinite, discrete linear order. We prove that T has continuum-many countable models. The proof is purely first-order, but raises the question of Borel completeness of T.

Mathematics Subject Classification: 03C15 (Primary), 03C45 (Secondary)

Keywords and phrases:

Full text arXiv 2212.13605: pdf, ps).