Probability Logic

October 15, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Niki Pfeifer arXiv ID 1910.06624 Category cs.AI: Artificial Intelligence Cross-listed math.LO, math.PR Citations 17 Venue arXiv.org Last Checked 4 months ago
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.
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