Exhaustive classication of finite classical probability spaces with regard to the notion of causal up-to-n-closedness
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Extending the ideas from (Hofer-Szabó and Rédei ), we introduce the notion of causal up-to-n-closedness of probability spaces. A probability space is said to be causally up-to-n-closed with respect to a relation of independence R_ind iff for any pair of correlated events belonging to R_ind the space provides a common cause or a common cause system of size at most n. We prove that a finite classical probability space is causally up-to-3-closed w.r.t. the relation of logical independence iff its probability measure is constant on the set of atoms of non-0 probability. (The latter condition is a weakening of the notion of measure uniformity.) Other independence relations are also considered.
|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
Igal Kvart (1994). Causal Independence. Philosophy of Science 61 (1):96-114.
Zalán Gyenis & Miklós Rédei (2011). Characterizing Common Cause Closed Probability Spaces. Philosophy of Science 78 (3):393-409.
G. Hofer-Szabó, M. Rédei & and LE Szabó (1999). On Reichenbach's Common Cause Principle and Reichenbach's Notion of Common Cause. British Journal for the Philosophy of Science 50 (3):377 - 399.
Thomas Müller (2005). Probability Theory and Causation: A Branching Space-Times Analysis. British Journal for the Philosophy of Science 56 (3):487 - 520.
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.
Chunlai Zhou (2010). Probability Logic of Finitely Additive Beliefs. Journal of Logic, Language and Information 19 (3):247-282.
Carl Wagner (2011). Peer Disagreement and Independence Preservation. Erkenntnis 74 (2):277-288.
Martin Smith (2010). A Generalised Lottery Paradox for Infinite Probability Spaces. British Journal for the Philosophy of Science 61 (4):821-831.
Balazs Gyenis & Miklos Redei (2004). When Can Statistical Theories Be Causally Closed? Foundations of Physics 34 (9):1285-1303.
Added to index2009-06-18
Total downloads13 ( #129,644 of 1,139,829 )
Recent downloads (6 months)1 ( #165,020 of 1,139,829 )
How can I increase my downloads?