The Principle of the Common Cause

A conceptually and mathematically rigorous analysis of the common cause principle and its status in quantum theory.

The common cause principle is of central importance in the philosophy of science and has been extensively debated in the foundations of physics, causal explanation and causal modeling. Written for researchers and graduate students, this book provides one of the most mathematically rigorous analyses of the notion of common cause.The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The principle is of central importance in the philosophy of science, especially in causal explanation, causal modeling and in the foundations of quantum physics. Written for philosophers of science, physicists and statisticians, this book contributes to the debate over the validity of the common cause principle, by proving results that bring to the surface the nature of explanation by common causes. It provides a technical and mathematically rigorous examination of the notion of common cause, providing an analysis not only in terms of classical probability measure spaces, which is typical in the available literature, but in quantum probability theory as well. The authors provide numerous open problems to further the debate and encourage future research in this field.