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Probability as a Modal Operator

A. Frisch,P. Haddawy

Published 2013 in arXiv.org

ABSTRACT

This paper argues for a modal view of probability. The syntax and semantics of one particularly strong probability logic are discussed and some examples of the use of the logic are provided. We show that it is both natural and useful to think of probability as a modal operator. Contrary to popular belief in AI, a probability ranging between 0 and 1 represents a continuum between impossibility and necessity, not between simple falsity and truth. The present work provides a clear semantics for quantification into the scope of the probability operator and for higher-order probabilities. Probability logic is a language for expressing both probabilistic and logical concepts.

PUBLICATION RECORD

  • Publication year

    2013

  • Venue

    arXiv.org

  • Publication date

    2013-03-27

  • Fields of study

    Philosophy, Computer Science

  • Identifiers
    arXiv 1304.2352
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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