Between logic and probability.

Sales, Ton. "Between logic and probability.." Mathware and Soft Computing 1.2 (1994): 99-138. <http://eudml.org/doc/39024>.

@article{Sales1994,
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 & 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.},
author = {Sales, Ton},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Lógica abstracta; Lógica inductiva; Algebras de Boole; Cálculo de probabilidades; sentential logic; boolean algebra; logical semantics; probabilistic semantics; probability logic; many-valued logics; supervaluations; uncertainty; rational belief},
language = {eng},
number = {2},
pages = {99-138},
title = {Between logic and probability.},
url = {http://eudml.org/doc/39024},
volume = {1},
year = {1994},
}

TY - JOUR
AU - Sales, Ton
TI - Between logic and probability.
JO - Mathware and Soft Computing
PY - 1994
VL - 1
IS - 2
SP - 99
EP - 138
AB - 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.
LA - eng
KW - Lógica difusa; Lógica abstracta; Lógica inductiva; Algebras de Boole; Cálculo de probabilidades; sentential logic; boolean algebra; logical semantics; probabilistic semantics; probability logic; many-valued logics; supervaluations; uncertainty; rational belief
UR - http://eudml.org/doc/39024
ER -