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arXiv:1910.06624cs.AI

Probability Logic

Niki Pfeifer

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Abstract

This chapter presents probability logic as a rationality framework for human reasoning under uncertainty. Selected formal-normative aspects of probability logic are discussed in the light of experimental evidence. Specifically, probability logic is characterized as a generalization of bivalent truth-functional propositional logic (short "logic"), as being connexive, and as being nonmonotonic. The chapter discusses selected argument forms and associated uncertainty propagation rules. Throughout the chapter, the descriptive validity of probability logic is compared to logic, which was used as the gold standard of reference for assessing the rationality of human reasoning in the 20th century.

arXiv comments
16 pages, handbook chapter contribution
Journal reference
DOI
Subjects
cs.AIArtificial Intelligence math.LOLogic math.PRProbability

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