Liebe Opa Paul, ich bin auch ein experimental scientist! Contrary to popular belief, Math is an experimental science. Hence I am an experimental scientist, just like my beloved grandfather, Dr. Paul Alexander (1870--1942, Dr. Phil. Rer. Nat., Chemie, 1897). Edited version of the transcript of a talk (entitled: “Determinants and Computer Algebra”) given at the Max Planck Institute, Leipzig, August 5, 2002. Accompanied by the Maple package CLD available from zeilberg/programs.html.