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/