Finitistic and frequentistic approximation of probability measures with or without σ-additivity

Studia Logica

Volumn 89, Issue 2, 2008, Pages 257-283

  Schurz, G ^a   Leitgeb, H ^b  

^a HEINRICH HEINE UNIVERSITY   (Germany)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

additivity; Finite additivity; Finitistic approximation; Frequency theory; Probability

Indexed keywords

EID: 49049098059     PISSN: 00393215     EISSN: 15728730     Source Type: Journal    
DOI: 10.1007/s11225-008-9128-3     Document Type: Article

References (24)

1. M.A. Amer 1985 'Extension of relatively σ-additive probabilities on boolean algebras of logic' Journal of Symbolic Logic 50 589 596
2. Bauer H. (1978). Wahrscheinlichkeitstheorie und Grundzüge der Maßtheorie. De Gruyter, Berlin
3. Bhaskara Rao K.P.S. and Bhaskara Rao M. (1983). Theory of Charges. A Study of Finitely Additive Measures. Academic Press Inc., New York
4. Billingsley P. (1986). Probability and Measure, second edn. John Wiley & Sons, New York
5. de Finetti B. (1979). Theory of Probability. John Wiley & Sons, New York
6. Dubins L. and Savage L.J. (1965). How To Gamble If You Must. McGraw-Hill Book Comp., New York
7. Earman J. (1992). Bayes or Bust?. MIT Press, Cambridge/MA
8. Fine T. (1973). Theories of Probability. Academic Press, New York
9. Fraassen B. Van, The Scientific Image, Clarendon Press, Oxford, 1980.
10. H. Gaifman M. Snir 1982 'Probabilities over rich languages' Journal of Symbolic Logic 47 495 548
11. R.N. Giere 1976 'A Laplacean formal semantics for single case propensities' Journal of Philosophical Logic 5 321 352
12. Harel D. (1987). Algorithmics. Adison-Wesley, New York
13. Howson C. and Urbach P. (1993). Scientific Reasoning: The Bayesian Approach, second edn. Open Court, Chicago
14. J.B. Kadane A. O'Hagan 1995 'Using finitely additive probability: Uniform distribution on the natural numbers' Journal of the Amercian Statistical Association 90 629 631
15. Kelly K. (1996). The Logic of Reliable Inquiry. Oxford Univ. Press, New York
16. Kolmogorov A.N. (1950). Foundations of the Theory of Probability. Chelsea Publishing Company, New York
17. Koppelberg S. (1989). Handbook of Boolean Algebras. Vol. 1. North-Holland, Amsterdam
18. Kyburg H. (1961). Probability and the Logic of Rational Belief. Wesleyan Univ. Press, Middletown
19. Mises, R. Von, Mathematical Theory of Probability and Statistics, Academic Press, New York, 1964.
20. Pap E. (2002). Handbook of Measure Theory Vol I. Elsevier, Amsterdam
21. M.J. Schervish T. Seidenfeld J.B. Kadane 1984 'The extent of nonconglomerability of finitely additive probabilities' Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 66 205 226
22. Suppes P. (2002). Representation and Invariance of Scientific Structures. CSLI Publications, Stanford
23. Werner D. (1997). Funktionalanalysis. Springer, Berlin
24. J. Williamson 1999 'Countable additivity and subjective probability' British Journal for the Philosophy of Science 50 401 416