Probability Logic and Borel's Denumerable Probability

History and Philosophy of Logic 29 (3):307-307 (2008)
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Abstract

Borel's concept of denumerable probability is described by means of three of his illustrative problems and their solution. These problems are then reformulated in contemporary terms and solved from the viewpoint of probability logic. A section compares Kolmogorov set-theoretic probability with probability logic. The concluding section describes a highly adverse criticism of Borel's conception for its not using something like Kolmogorov theory (introduced two decades later) and, in support of Borel, this criticism is countered from the standpoint of quantifier probability logic

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References found in this work

Ontologically neutral logic.Theodore Hailperin - 1997 - History and Philosophy of Logic 18 (4):185-200.
Probability semantics for quantifier logic.Theodore Hailperin - 2000 - Journal of Philosophical Logic 29 (2):207-239.
Probability logic and combining evidence.Theodore Hailperin - 2006 - History and Philosophy of Logic 27 (3):249-269.
Quantifier probability logic and the confirmation paradox.Theodore Hailperin - 2007 - History and Philosophy of Logic 28 (1):83-100.

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