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)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
Maria Concetta Di Maio (1995). Predictive Probability and Analogy by Similarity in Inductive Logic. Erkenntnis 43 (3):369 - 394.
Hugues Leblanc & Peter Roeper (1993). Getting the Constraints on Popper's Probability Functions Right. Philosophy of Science 60 (1):151-157.
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 (1989). On Relativizing Kolmogorov's Absolute Probability Functions. Notre Dame Journal of Formal Logic 30 (4):485-512.
Patrick Maher (2000). Probabilities for Two Properties. Erkenntnis 52 (1):63-91.
Brian Weatherson (2003). From Classical to Intuitionistic Probability. Notre Dame Journal of Formal Logic 44 (2):111-123.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
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 downloads12 ( #205,927 of 1,726,249 )
Recent downloads (6 months)1 ( #369,877 of 1,726,249 )
How can I increase my downloads?