Edwin T. Jaynes was one of the first people to realize that probability theory, as originated by Laplace, is a generalization of Aristotelian logic that reduces to deductive logic in the special case that our hypotheses are either true or false. This web
M. Rosen-Zvi, T. Griffiths, M. Steyvers, and P. Smyth. Proceedings of the 20th conference on Uncertainty in artificial intelligence, page 487--494. Arlington, VA, USA, AUAI Press, (2004)