The Principle of the Common CauseCambridge University Press, 16 may 2013 - 202 páginas 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. |
Índice
Common cause extendability of probability spaces | 18 |
Causally closed probability theories | 29 |
Common common causes | 51 |
Common cause extendability of nonclassical probability spaces | 60 |
Causal closedness of quantum field theory | 97 |
Reichenbachs Common Cause Principle and EPR correlations | 134 |
Where do We stand? | 173 |
Appendix | 180 |
| 193 | |
| 201 | |
Otras ediciones - Ver todo
The Principle of the Common Cause Gábor Hofer-Szabó,Miklós Rédei,László E. Szabó Vista previa restringida - 2013 |
Términos y frases comunes
admissible numbers AQFT assumption Boolean algebra Boolean subalgebras causal independence relation Causal Markov Condition causally closed cause incomplete Cause System Principle Chapter classical probability space closed with respect common cause closed common cause complete common cause extendability Common Cause Principle common cause system common common cause commuting correlated events correlated pairs defined Definition double cones elements entails EPR correlations first hence hidden locality Hilbert space Hofer-Szabo holds infinite Ising model lattice quantum field Lebesgue measure Lemma logically independent measure spaces Neumann algebras nonclassical probability spaces nonconspiratorial common cause notion of common orthomodular lattice p(Ai partition probabilistic probability measure probability theory problem projections proof of Proposition proper common cause Proposition 3.9 purely nonatomic quantum field theory quantum probability spaces RCCS real numbers Rédei Reichenbach’s Common Cause Reichenbachian common cause Rind satisfies spacelike separated specific strongly common cause sufficient von Neumann algebras Weak Common Cause