2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/15753This is the transcript of a lecture given at UMass-Lowell in which I compare and contrast the work of Godel and of Turing and my own work on incompleteness. I also discuss randomness in physics vs randomness in pure mathematics.Chaotic DynamicsHistory and OverviewA Century of Controversy over the Foundations of Mathematicstext