David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
British Journal for the Philosophy of Science 59 (1):1-23 (2008)
Many people believe that there is a Dutch Book argument establishing that the principle of countable additivity is a condition of coherence. De Finetti himself did not, but for reasons that are at first sight perplexing. I show that he rejected countable additivity, and hence the Dutch Book argument for it, because countable additivity conflicted with intuitive principles about the scope of authentic consistency constraints. These he often claimed were logical in nature, but he never attempted to relate this idea to deductive logic and its own concept of consistency. This I do, showing that at one level the definitions of deductive and probabilistic consistency are identical, differing only in the nature of the constraints imposed. In the probabilistic case I believe that R.T. Cox's scale-free axioms for subjective probability are the most suitable candidates. 1 Introduction 2 Coherence and Consistency 3 The Infinite Fair Lottery 4 The Puzzle Resolved—But Replaced by Another 5 Countable Additivity, Conglomerability and Dutch Books 6 The Probability Axioms and Cox's Theorem 7 Truth and Probability 8 Conclusion: Logical Omniscience CiteULike Connotea Del.icio.us What's this?
|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
Chunlai Zhou (2010). Probability Logic of Finitely Additive Beliefs. Journal of Logic, Language and Information 19 (3):247-282.
Colin Howson (2012). Modelling Uncertain Inference. Synthese 186 (2):475-492.
Colin Howson (2013). Hume's Theorem. Studies in History and Philosophy of Science Part A 44 (3):339-346.
Similar books and articles
Brian Skyrms (2006). Diachronic Coherence and Radical Probabilism. Philosophy of Science 73 (5):959-968.
Angelo Gilio (2005). Probabilistic Logic Under Coherence, Conditional Interpretations, and Default Reasoning. Synthese 146 (1-2):139 - 152.
Vieri Benci, Leon Horsten & Sylvia Wenmackers (2013). Non-Archimedean Probability. Milan Journal of Mathematics 81 (1):121-151.
Cory Juhl & Kevin T. Kelly (1994). Realism, Convergence, and Additivity. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:181 - 189.
Colin Howson (2007). Logic with Numbers. Synthese 156 (3):491-512.
Jacob Ross (2012). All Roads Lead to Violations of Countable Additivity. Philosophical Studies 161 (3):381-390.
Teddy Seidenfeld & Mark J. Schervish (1983). A Conflict Between Finite Additivity and Avoiding Dutch Book. Philosophy of Science 50 (3):398-412.
Paul Bartha (2004). Countable Additivity and the de Finetti Lottery. British Journal for the Philosophy of Science 55 (2):301-321.
J. Williamson (1999). Countable Additivity and Subjective Probability. British Journal for the Philosophy of Science 50 (3):401-416.
Added to index2009-01-28
Total downloads38 ( #50,240 of 1,168,879 )
Recent downloads (6 months)1 ( #140,419 of 1,168,879 )
How can I increase my downloads?