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 ...

Logic and probability, which happen to share historical origins, are asked nowadays to solve new problems such as reasoning under uncertainty, or with incomplete information or imprecisely formulated statements. The ...

It is commonly assumed that Boolean logic is synonymous with two-valued logic. However, this needs not be the case. As Boole suspected, and Probability theorists know, one can value propositions in, say, the real unit ...

Logic and Probability are seen today as independent fields, but they share a considerable common ground, which historically underlies both disciplines and has prompted Reichenbach, Carnap or Popper to consider connection-building ...

This work sets out the main ideas concerning a semantics of possible worlds for epistemic logics which do not have the problem of logical omniscience and which can be used to model reasoning with limited resources. Within ...