Probability: A new logico-semantical approach [Book Review]

Abstract
This approach does not define a probability measure by syntactical structures. It reveals a link between modal logic and mathematical probability theory. This is shown (1) by adding an operator (and two further connectives and constants) to a system of lower predicate calculus and (2) regarding the models of that extended system. These models are models of the modal system S₅ (without the Barcan formula), where a usual probability measure is defined on their set of possible worlds. Mathematical probability models can be seen as models of S₅
Keywords Probability measure  axioms ofKolmogoroff   Choquet-capacity, upper- and lower probabilities  lower predicate calculus  modal lower predicate calculus   Kripke-models of systems of modal lower predicate calculus
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