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On Reichenbach's common cause principle and Reichenbach's notion of common cause
"... It is shown that, given any finite set of pairs of random events in a Boolean algebra which are correlated with respect to a fixed probability measure on the algebra, the algebra can be extended in such a way that the extension contains events that can be regarded as common causes of the correlation ..."
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Cited by 27 (6 self)
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It is shown that, given any finite set of pairs of random events in a Boolean algebra which are correlated with respect to a fixed probability measure on the algebra, the algebra can be extended in such a way that the extension contains events that can be regarded as common causes of the correlations in the sense of Reichenbach's definition of common cause. It is shown, further, that, given any quantum probability space and any set of commuting events in it which are correlated with respect to a fixed quantum state, the quantum probability space can be extended in such a way that the extension contains common causes of all the selected correlations, where common cause is again taken in the sense of Reichenbach's definition. It is argued that these results very strongly restrict the possible ways of disproving Reichenbach's Common Cause Principle.
Common Cause Completability of Classical and Quantum Probability Spaces
"... It is shown that for a given set of correlations either in a classical or in a quantum probability space both the classical and the quantum probability spaces are extendable in such a way that the extension contains common causes of the given correlations, where common cause is taken in the sense of ..."
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Cited by 6 (2 self)
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It is shown that for a given set of correlations either in a classical or in a quantum probability space both the classical and the quantum probability spaces are extendable in such a way that the extension contains common causes of the given correlations, where common cause is taken in the sense of Reichenbach's denition. These results strongly restrict the possible ways of disproving Reichenbach's Common Cause Principle and indicate that EPR type quantum correlations might very well have a common cause explanation. 1 The problem The aim of this paper is to present two results on the following problem, raised rst within the framework of classical, Kolmogorovian probability theory in ([4], Chapter 1 14.): Let (L; p) be a generalized probability space with the orthomodular lattice L and additive, normalized measure p on L and let f(A i ; B i )ji 2 Ig be a set of events in L that are (positively) correlated with respect p, i.e. p(A i ^B i ) > p(A i )p(B i ), with A i and B i being c...
“New Age ” Philosophies of Science: Constructivism, Feminism and PostModernism (Forthcoming in British Journal for the Philosophy of
"... This paper surveys three controversial new directions in research about the nature of science and briefly summarizes both the intellectual and sociological impact of this work. A bibliographic introduction to the major literature is provided and some fruitful directions for future research are propo ..."
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Cited by 2 (0 self)
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This paper surveys three controversial new directions in research about the nature of science and briefly summarizes both the intellectual and sociological impact of this work. A bibliographic introduction to the major literature is provided and some fruitful directions for future research are proposed. Philosophers of science are also exhorted to perform “community service ” by correcting misunderstandings of the methods of science fostered by these new
Kriterion vol.2 no.se Belo Horizonte 2006 The
"... symmetries of the Hempelian model of explanation ..."