标题： 任意有限大小的赖欣巴哈因果系统是否存在？ 显示英文标题

标题： Do Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist?

摘要： 共同原因原则认为，因果上无关事件之间的正相关性应该通过某些共享的因果因素的作用来解释。Reichenbachian 共同原因系统是一种概率结构，旨在处理无法通过单一共同原因的作用来解释上述类型的相关性的情况。 据称，Hofer-Szabó 和 Rédei 在 2006 年证明了对于每一对非因果相关的事件，都存在任意有限大小的 Reichenbachian 共同原因系统。 本文表明他们的证明在逻辑上存在缺陷，并提出了一个改进的证明。 显示英文摘要

摘要： 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-Szab\'o and R\'edei in 2006. This paper shows that their proof is logically deficient, and we propose an improved proof.