Four probabilitypreserving properties of inferences
 Ernest W. Adams
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Different inferences in probabilistic logics of conditionals ‘preserve’ the probabilities of their premisses to different degrees. Some preserve certainty, some high probability, some positive probability, and some minimum probability. In the first case conclusions must have probability 1 when premisses have probability 1, though they might have probability 0 when their premisses have any lower probability. In the second case, roughly speaking, if premisses are highly probable though not certain then conclusions must also be highly probable. In the third case conclusions must have positive probability when premisses do, and in the last case conclusions must be at least as probable as their least probable premisses. Precise definitions and well known examples are given for each of these properties, characteristic principles are shown to be valid and complete for deriving conclusions of each of these kinds, and simple trivalent truthtable ‘tests’ are described for determining which properties are possessed by any given inference. Brief comments are made on the application of these results to certain modal inferences such as “Jones may own a car, and if he does he will have a driver's license. Therefore, he may have a driver's license.”
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 Title
 Four probabilitypreserving properties of inferences
 Journal

Journal of Philosophical Logic
Volume 25, Issue 1 , pp 124
 Cover Date
 19960201
 DOI
 10.1007/BF00357840
 Print ISSN
 00223611
 Online ISSN
 15730433
 Publisher
 Kluwer Academic Publishers
 Additional Links
 Topics
 Authors

 Ernest W. Adams ^{(1)}
 Author Affiliations

 1. University of California, Berkeley, USA