Probability: A new logico-semantical approach [Book Review]
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 25 (1):107 - 124 (1994)
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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