David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Erkenntnis 41 (3):325 - 352 (1994)
The theory of random propositions is a theory of confirmation that contains the Bayesian and Shafer—Dempster theories as special cases, while extending both in ways that resolve many of their outstanding problems. The theory resolves the Bayesian problem of the priors and provides an extension of Dempster's rule of combination for partially dependent evidence. The standard probability calculus can be generated from the calculus of frequencies among infinite sequences of outcomes. The theory of random propositions is generated analogously from the calculus of frequencies among pairs of infinite sequences of suitably generalized outcomes and in a way that precludes the inclusion of contrived orad hoc elements. The theory is also formulated as an uninterpreted calculus.
|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
Glenn Shafer (1976). A Mathematical Theory of Evidence. Princeton University Press.
John Earman (1992). Bayes or Bust? A Critical Examination of Bayesian Confirmation Theory. MIT Press.
John Norton (1988). Limit Theorems for Dempster's Rule of Combination. Theory and Decision 25 (3):287-313.
Citations of this work BETA
No citations found.
Similar books and articles
Brent Mundy (1986). On the General Theory of Meaningful Representation. Synthese 67 (3):391 - 437.
Michiel Van Lambalgen (1987). Von Mises' Definition of Random Sequences Reconsidered. Journal of Symbolic Logic 52 (3):725 - 755.
Roberto Cignoli & Daniele Mundici (1997). An Elementary Proof of Chang's Completeness Theorem for the Infinite-Valued Calculus of Lukasiewicz. Studia Logica 58 (1):79-97.
C. P. Schnorr & P. Fuchs (1977). General Random Sequences and Learnable Sequences. Journal of Symbolic Logic 42 (3):329-340.
Balazs Gyenis & Miklos Redei (2004). When Can Statistical Theories Be Causally Closed? Foundations of Physics 34 (9):1285-1303.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
Arthur Falk (1995). Wisdom Updated. Philosophy of Science 62 (3):389-403.
Philip Hugly & Charles Sayward (1977). Prior’s Theory of Propositions. Analysis 37 (3):104-112.
Edward N. Zalta (1997). The Modal Object Calculus and its Interpretation. In M. de Rijke (ed.), Advances in Intensional Logic. Kluwer 249--279.
Added to index2009-01-28
Total downloads13 ( #190,121 of 1,725,830 )
Recent downloads (6 months)5 ( #134,315 of 1,725,830 )
How can I increase my downloads?