Hard to say which came first. Probability can be defined in terms of axioms and classical logic just read any probability book. Classical logic can also be defined in terms of probability by setting all causal relations to be 100% (See bayes theorem).
I'm making a vague sweeping statement here that eventually gets a bit more cleared up later in my writeup.
I'm making a vague sweeping statement here that eventually gets a bit more cleared up later in my writeup.