David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 59 (3):372-388 (1992)
This paper studies the extent to which probability functions are recursively definable. It proves, in particular, that the (absolute) probability of a statement A is recursively definable from a certain point on, to wit: from the (absolute) probabilities of certain atomic components and conjunctions of atomic components of A on, but to no further extent. And it proves that, generally, the probability of a statement A relative to a statement B is recursively definable from a certain point on, to wit: from the probabilities relative to that very B of certain atomic components and conjunctions of atomic components of A, but again to no further extent. These and other results are extended to the less studied case where A and B are compounded from atomic statements by means of `` ∀ '' as well as `` ∼ '' and "&". The absolute probability functions considered are those of Kolmogorov and Carnap, and the relative ones are those of Kolmogorov, Carnap, Renyi, and Popper
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Maria Concetta Di Maio (1995). Predictive Probability and Analogy by Similarity in Inductive Logic. Erkenntnis 43 (3):369 - 394.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Brian Weatherson (2003). From Classical to Intuitionistic Probability. Notre Dame Journal of Formal Logic 44 (2):111-123.
Patrick Maher (2000). Probabilities for Two Properties. Erkenntnis 52 (1):63-91.
Hugues Leblanc & Peter Roeper (1989). On Relativizing Kolmogorov's Absolute Probability Functions. Notre Dame Journal of Formal Logic 30 (4):485-512.
Hugues Leblanc (1989). The Autonomy of Probability Theory (Notes on Kolmogorov, Rényi, and Popper). British Journal for the Philosophy of Science 40 (2):167-181.
Hugues Leblanc & Peter Roeper (1993). Getting the Constraints on Popper's Probability Functions Right. Philosophy of Science 60 (1):151-157.
Peter Roeper & Hugues Leblanc (1999). Absolute Probability Functions for Intuitionistic Propositional Logic. Journal of Philosophical Logic 28 (3):223-234.
Added to index2009-01-28
Total downloads2 ( #254,377 of 1,008,547 )
Recent downloads (6 months)0
How can I increase my downloads?