I think a stronger base in real probability theory (as opposed to simply frequency analysis) would be more beneficial, especially if you follow Jaynes' route and treat it as an extension to logic. As a commenter noted above, "implication" is easy to grasp, except it's not, because logical implication is not necessarily causal or does not even have to make real-world sense, whereas one of the goals of Bayesian Probability Theory is that it should have a qualitative correspondence with common sense.