David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Erkenntnis 52 (1):63-91 (2000)
Let R(X, B) denote the class of probability functions that are defined on algebra X and that represent rationally permissible degrees of certainty for a person whose total relevant background evidence is B. This paper is concerned with characterizing R(X, B) for the case in whichX is an algebra of propositions involving two properties and B is empty. It proposes necessary conditions for a probability function to be in R(X, B), some of which involve the notion of statistical dependence. The class of probability functions that satisfy these conditions, here denoted PI, includes a class that Carnap once proposed for the same situation. Probability functions in PI violate Carnap's axiom of analogy but, it is argued, that axiom should be rejected. A derivation of Carnap's model by Hesse has limitations that are not present in the derivation of PI given here. Various alternative probability models are considered and rejected.
|Keywords||Philosophy Philosophy Epistemology Ethics Logic Ontology|
|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
Jan Willem Romeijn (2006). Analogical Predictions for Explicit Similarity. Erkenntnis 64 (2):253 - 280.
C. J. Nix & J. B. Paris (2007). A Note on Binary Inductive Logic. Journal of Philosophical Logic 36 (6):735 - 771.
J. B. Paris & P. Waterhouse (2009). Atom Exchangeability and Instantial Relevance. Journal of Philosophical Logic 38 (3):313 - 332.
J. Landes, J. B. Paris & A. Vencovská (2011). A Survey of Some Recent Results on Spectrum Exchangeability in Polyadic Inductive Logic. Synthese 181 (1):19 - 47.
Roger Clarke (2010). “The Ravens Paradox” is a Misnomer. Synthese 175 (3):427-440.
Similar books and articles
T. V. Reeves (1988). A Theory of Probability. British Journal for the Philosophy of Science 39 (2):161-182.
Brian Weatherson (2003). From Classical to Intuitionistic Probability. Notre Dame Journal of Formal Logic 44 (2):111-123.
Ernest W. Adams (1996). Four Probability-Preserving Properties of Inferences. Journal of Philosophical Logic 25 (1):1 - 24.
Hugues Leblanc & Peter Roeper (1992). Probability Functions: The Matter of Their Recursive Definability. Philosophy of Science 59 (3):372-388.
Henry E. Kyburg Jr (1992). Getting Fancy with Probability. Synthese 90 (2):189 - 203.
Henry E. Kyburg (1992). Getting Fancy with Probability. Synthese 90 (2):189-203.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Maria Concetta Di Maio (1995). Predictive Probability and Analogy by Similarity in Inductive Logic. Erkenntnis 43 (3):369 - 394.
Added to index2009-01-28
Total downloads7 ( #415,304 of 1,792,244 )
Recent downloads (6 months)1 ( #464,595 of 1,792,244 )
How can I increase my downloads?