PhD Kolloquium COMPUTABILITY IN THE LIGHT OF THE MASTER ARGUMENT, at the CAAD chair at the Swiss Federal Institute of Technology ETH (WS 2012, ongoing). This is very much lecturing about ongoing research, not safe and sanctioned bits of knowledge. We are reading Jules Vuillemin's book "Necessity and Contingency, The Master Argument" (Stanford UP 1996) in parallel to texts on number theory and abstract algebra (selected from E.T.Bell "The Development of Mathematics" (1940); Israel Kleiner "A History of Abstract Algebra" (2007); Leo Corry "Modern Algebra and the Rise of Mathematical Structures" (2004); Yvette Klosmann - Schwarzbach "The Noether Theorems: Invariance and Conservation Laws in the Twentieth Century (2011); Werner M. Seiter "Involution. The Formal Theory of Differential Equations and its Applications in Computer Algebra" (2010)).
The core idea is to take a certain perspective on the theme of future contingencies: we are interested in is the conservation and contraction of possibilities in symbolic structures. Any feedback welcome !