Probability semantics for quantifier logic

Journal of Philosophical Logic 29 (2):207-239 (2000)
Abstract
By supplying propositional calculus with a probability semantics we showed, in our 1996, that finite stochastic problems can be treated by logic-theoretic means equally as well as by the usual set-theoretic ones. In the present paper we continue the investigation to further the use of logical notions in probability theory. It is shown that quantifier logic, when supplied with a probability semantics, is capable of treating stochastic problems involving countably many trials
Keywords probability functions  probability logic  probability semantics
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