Between logic and probability

Abstract

Logic and Probability, as theories, have been developed quite independently and, with a few exceptions (like Boole's), have largely ignored each other. And nevertheless they share a lot of similarities, as well a considerable common ground. The exploration of the shared concepts and their mathematical treatment and unification is here attempted following the lead of illustrious researchers (Reichenbach, Carnap, Popper, Gaifman, Scott and Krauss, Fenstad, Miller, David Lewis, Stalnaker, Hintikka or Suppes, to name a few). The resulting theory, to be distinguished from the many-valued-Logics tradition, is strongly reminiscent, in its the mathematical treatment, of Probability theory, though it remains in spirit firmly inside pure Logic.