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date: 29 March 2020

Abstract and Keywords

This chapter is about probabilistic logics: that is, systems of logic in which logical consequence is defined in probabilistic terms. The chapter starts with some historical background, covering the longstanding association of the study of logic with probability. There follows a clarification of the terms to be used. Then these systems of probabilistic logic are classified and some key references given. Two chief classifications are presented. Then one class of probabilistic logics, those that derive from Ernest Adams’ work, is presented in more detail. In reviewing Adams’ work, six types of semantics are presented. These are examined via six case studies.

Keywords: probability, logic, probabilistic semantics, probabilistic operator, probabilistic quantifier, conditional

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