We present a new proof of the existence of Morley sequences in simple theories. We avoid using the Erdős–Rado theorem and instead use only Ramsey’s theorem and compactness. The proof shows that the basic theory of forking in simple theories can be developed using only principles from “ordinary mathematics,” answering a question of Grossberg, Iovino, and Lessmann, as well as a question of Baldwin.
"Indiscernible Extraction and Morley Sequences." Notre Dame J. Formal Logic 58 (1) 127 - 132, 2017. https://doi.org/10.1215/00294527-3800865