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 & 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.
@article{urn:eudml:doc:39024, title = {Between logic and probability.}, journal = {Mathware and Soft Computing}, volume = {1}, year = {1994}, pages = {99-138}, zbl = {0834.03006}, mrnumber = {MR1329664}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39024} }
Sales, Ton. Between logic and probability.. Mathware and Soft Computing, Tome 1 (1994) pp. 99-138. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39024/