Completion of the Causal Completability Problem

British Journal for the Philosophy of Science 66 (2):307-326 (2015)
  Copy   BIBTEX


We give a few results concerning the notions of causal completability and causal closedness of classical probability spaces . We prove that any classical probability space has a causally closed extension; any finite classical probability space with positive rational probabilities on the atoms of the event algebra can be extended to a causally up-to-three-closed finite space; and any classical probability space can be extended to a space in which all correlations between events that are logically independent modulo measure zero event have a countably infinite common-cause system. Collectively, these results show that it is surprisingly easy to find Reichenbach-style ‘explanations' for correlations, underlining doubts as to whether this approach can yield a philosophically relevant account of causality. 1 Introduction2 Basic Definitions and Results in the Literature3 Causal Completability the Easy Way: ‘Splitting the Atom’4 Causal Completability of Classical Probability Spaces: The General Case5 Infinite Statistical Common-Cause Systems for Arbitrary Pairs6 ConclusionAppendix A



    Upload a copy of this work     Papers currently archived: 83,890

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

When can statistical theories be causally closed?Balázs Gyenis & Miklós Rédei - 2002 - Foundations of Physics 34 (9):1285-1303.
On Reichenbach's common cause principle and Reichenbach's notion of common cause.G. Hofer-Szabo - 1999 - British Journal for the Philosophy of Science 50 (3):377-399.
Are Causality Violations Undesirable?Hunter Monroe - 2008 - Foundations of Physics 38 (11):1065-1069.
Reichenbachian common cause systems.Gábor Hofer-Szabó & Miklos Redei - 2004 - International Journal of Theoretical Physics 43:1819-1826.


Added to PP

34 (#369,941)

6 months
4 (#199,280)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Leszek Wroński
Jagiellonian University

Citations of this work

Characterizing common cause closedness of quantum probability theories.Yuichiro Kitajima & Miklós Rédei - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (B):234-241.

View all 8 citations / Add more citations

References found in this work

The direction of time.Hans Reichenbach - 1956 - Mineola, N.Y.: Dover Publications. Edited by Maria Reichenbach.
Causality.Judea Pearl - 2000 - New York: Cambridge University Press.
Venetian sea levels, british bread prices, and the principle of the common cause.Elliott Sober - 2001 - British Journal for the Philosophy of Science 52 (2):331-346.

View all 17 references / Add more references