Quantifier probability logic and the confirmation paradox
Abstract:Exhumation and study of the 1945 paradox of confirmation brings out the defect of its formulation. In the context of quantifier conditional-probability logic it is shown that a repair can be accomplished if the truth-functional conditional used in the statement of the paradox is replaced with a connective that is appropriate to the probabilistic context. Description of the quantifier probability logic involved in the resolution of the paradox is presented in stages. Careful distinction is maintained between a formal logic language and its semantics, as the same language may be outfitted with different semantics. An acquaintance with - of Hailperin (2006) covering the sentential aspects of probability logic is assumed as background information for quantifier probability logic.
Document Type: Research Article
Affiliations: Department of Mathematics, Lehigh University, Bethlehem, PA, USA
Publication date: 2007-02-01