I understand that E.T. Jaynes' book on probability theory, which I have not yet read, does not go the route of random variables. Jaynes' book is excellent but

I understand that E.T. Jaynes' book on probability theory, which I have not yet read, does not go the route of random variables. Jaynes' book is excellent but is more about the philosophy of the Bayesian interpretation of probability than mathematics. His problem with "random variables" is not so much the concept (although he wasn't a fan of measure theory), but the "random" in the name.