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(1994) Journal for General Philosophy of Science 25 (1).
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 systemS5 (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 ofS5.
Publication details
DOI: 10.1007/BF00769280
Full citation:
Schneider, C. (1994). Probability: a new logico-semantical approach. Journal for General Philosophy of Science 25 (1), pp. 107-124.
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