This article has two main objectives. First, we offer an introduction to the subfield of generative third language (L3) acquisition. Concerned primarily with modeling initial stages transfer of morphosyntax, one goal of this program is to show how initial stages L3 data make significant contributions toward a better understanding of how the mind represents language and how (cognitive) economy c...

We demonstrate how several problems of algebraic geometry, i.e. Ax-Grothendieck, Hilbert’s Nullstellensatz, NoetherOstrowski, and Hilbert’s 17th problem, have simple proofs when approached from using model theory. The proofs use two general transfer principles. The first is the Lefschetz principle, which allows sentences that are true in algebraically closed fields of infinitely many prime char...