Authors
Leszek Wroński
Jagiellonian University
Abstract
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
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1093/bjps/axt030
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 53,742
Through your library

References found in this work BETA

Causality.Judea Pearl - 2000 - Cambridge University Press.
The Direction of Time.Hans Reichenbach - 1956 - Dover Publications.
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

Citations of this work BETA

Add more citations

Similar books and articles

When Can Statistical Theories Be Causally Closed?Balazs Gyenis & Miklos Redei - 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.

Analytics

Added to PP index
2014-03-25

Total views
22 ( #453,341 of 2,349,895 )

Recent downloads (6 months)
1 ( #511,368 of 2,349,895 )

How can I increase my downloads?

Downloads

My notes