Here's an example of what I had in mind by "the Bayesian paradigm" -- see especially pp.12-13. Bayesian reasoning may be the one correct form of reasoning about probabilities, just as the first-order predicate calculus is the one correct form of reasoning about the true and the false, but that does not make of it a method to automatically solve problems.
I also had in mind something broader than just Bayesian reasoning, although that's a major part: the coupling of that with a goal system based on utility functions and their maximisation (the major thrust of the paper I linked).
I would like to propose this as a thread for people to write in their predictions for the next year and the next decade, when practical with probabilities attached. I'll probably make some in the comments.