The history of digital computing can be divided into an Old Testament whose prophets, led by Gottfried Wilhelm Leibniz, supplied the logic, and a New Testament whose prophets, led by John von Neumann, built the machines. Alan Turing, whose “On Computable Numbers, with an Application to the Entscheidungsproblem” was published shortly after his arrival in Princeton as a twenty-four-year-old graduate student in October 1936, formed the bridge between the two. In this talk, George Dyson, a Director’s Visitor in 2002–03 and the author of Turing’s Cathedral: The Origins of the Digital Universe (Pantheon, 2012), discusses the role of the Institute's Electronic Computer Project as modern stored-program computers were developed after WWII. Turing’s one-dimensional model of universal computation led directly to von Neumann’s two-dimensional implementation, and the world has never been the same since.