Studia Logica 102 (4):731-749 (2014)

Authors
James Hawthorne
University of Oklahoma
Abstract
Rational consequence relations and Popper functions provide logics for reasoning under uncertainty, the former purely qualitative, the latter probabilistic. But few researchers seem to be aware of the close connection between these two logics. I’ll show that Popper functions are probabilistic versions of rational consequence relations. I’ll not assume that the reader is familiar with either logic. I present them, and explicate the relationship between them, from the ground up. I’ll also present alternative axiomatizations for each logic, showing them to depend on weaker axioms than usually recognized
Keywords Uncertain reasoning  Nonmonotonic logic  Conditional probability   Rational consequence relations   Popper functions
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DOI 10.1007/s11225-013-9523-2
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References found in this work BETA

Elusive Knowledge.David K. Lewis - 1996 - Australasian Journal of Philosophy 74 (4):549 – 567.
Logic, Meaning, and Conceptual Role.Hartry H. Field - 1977 - Journal of Philosophy 74 (7):378-409.

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Reasoning About Uncertain Conditionals.Niki Pfeifer - 2014 - Studia Logica 102 (4):849-866.

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