Title: Do Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist?,
Abstract: The principle of common cause asserts that positive correlations between
causally unrelated events ought to be explained through the action of some
shared causal factors. Reichenbachian common cause systems are probabilistic
structures aimed at accounting for cases where correlations of the aforesaid
sort cannot be explained through the action of a single common cause. The
existence of Reichenbachian common cause systems of arbitrary finite size for
each pair of non-causally correlated events was allegedly demonstrated by
Hofer-Szabó and Rédei in 2006. This paper shows that their proof is
logically deficient, and we propose an improved proof.