Contributions to foundations of probability calculus on the basis of the modal logical calculus or
A. Montanaro, A. Bressan (1981)
Rendiconti del Seminario Matematico della Università di Padova
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Contributions to foundations of probability calculus on the basis of the modal logical calculus or
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An important field of probability logic is the investigation of inference rules that propagate point probabilities or, more generally, interval probabilities from premises to conclusions. Conditional probability logic (CPL) interprets the common sense expressions of the form “if ..., then ...” by conditional probabilities and not by the probability of the material implication. An inference rule is probabilistically informative if the coherent probability interval of its conclusion is...
Contributions to foundations of probability calculus on the basis of the modal logical calculus or
A. Montanaro, A. Bressan (1983)
Rendiconti del Seminario Matematico della Università di Padova
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(Pure) logic out of probability.
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Today, Logic and Probability are mostly seen as independent fields with a separate history and set of foundations. Against this dominating perception, only a very few people (Laplace, Boole, Peirce) have suspected there was some affinity or relation between them. The truth is they have a considerable common ground which underlies the historical foundation of both disciplines and, in this century, has prompted notable thinkers as Reichenbach [14], Carnap [2] [3] or Popper [12] [13] (and...