Reasoning under uncertainty #1 - why and how

[NawwLeans]

I'm not sure, but I think he is hiding in a crate under a porch somewhere in Prague. No one is looking for him -- he is just hiding in the crate.

[clray123]

I'm not sure if there is much value in contrasting deductive and inductive reasoning. The derivation of probability theory axioms by Cox relies on deductive reasoning, going towards satisfying a set of precise criteria. Applying the rules of probability theory is itself an exercise in deductive reasoning.

[trondreitan]

I think there is value in contrasting deductive and inductive reasoning. The wanted properties (desiderata) in themselves are meant to delve into the realm of the uncertain. Deductive logic does as you say take over from there, but it means that applying the laws of probability is logic+the desiderata. That makes all the difference.