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Probability Semantics for Quantifier Logic

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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.

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Authors and Affiliations

  1. Department of Mathematics, Lehigh University, Bethelehem, PA, 18015, USA

    Theodore Hailperin

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  1. Theodore Hailperin
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Hailperin, T. Probability Semantics for Quantifier Logic. Journal of Philosophical Logic 29, 207–239 (2000). https://doi.org/10.1023/A:1004754819280

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  • DOI: https://doi.org/10.1023/A:1004754819280

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