Since its introduction by Hans Reichenbach, many philosophers have
claimed to refute the idea - known as the common cause principle -
that any surprising correlation between any two factors that do not
directly influence one another is due to some common cause. For
example, falsity of the principle is frequently inferred from
falsifiability of Bell's inequalities. The author demonstrates,
however, that the situation is not so straightforward. There is
more than one version of the principle formulated with the use of
different variants of Reichenbach-inspired notions; their falsity
still remains an open question. The book traces different
formulations of the principle and provides proofs of a few
pertinent theorems, settling the relevant questions in various
probability spaces. In exploring mathematical and philosophical
issues surrounding the principle, the book offers both
philosophical insight and mathematical rigor.
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