From qualitative to quantitative probability Early attempts in this direction go back to Finetti (1970 [1974]), striving for a purely qualitative axiomatization of probability theory. A step further towards logical reasoning are various theories of qualitative probability (Kyburg 1994), often based on the assumption that classical quantitative notions of probability are too demanding for real-life agents. In this line of research agents need only reason with partial, comparative probability asse