ABSTRACT
I first summarize Baltag and Smets’ contribution to this volume, and praise their work. Then I compare the anti-lexicographic plausibility update that they propose to a proposal by Aucher, as an illustration of the difference between a qualitative and a quantitive formulation of updates. I quote Spohn's original work that is at the root of research in plausibility updates and of the notion of anti-lexicographic update. Some technical notes on different partial orders used in belief revision serve as a prelude to an observed relation between the qualitative and quantitative representation of structures. Finally I address Baltag and Smets’ analysis of the action of lying.
