The details of these arguments can get very technical, so we won’t examine them here. The important thing for the moment is to appreciate that (i) inductive inference is a dynamic process, since it involves changing our beliefs over time, but (ii) the general probability axioms, and particular assignments of prior probabilities like Carnap’s, are static, concerning only the initial probabilities. Thus (iii) a full theory of inference that answers Hume’s challenge must appeal to additional, dynam