Abstract
AbstractEells and Sober proved in 1983 that screening off is a sufficient condition for the transitivity of probabilistic causality, and in 2003 Shogenji noted that the same goes for probabilistic support. We start this paper by conjecturing that Hans Reichenbach may have been aware of this fact. Then we consider the work of Suppes and Roche, who demonstrated in 1986 and 2012 respectively that screening off can be generalized, while still being sufficient for transitivity. We point out an interesting difference between Reichenbach’s screening off and the generalized version, which we illustrate with an example about haemophilia among the descendants of Queen Victoria. Finally, we embark on a further generalization: we develop a still weaker condition, one that can be made as weak as one wishes.
Publisher
Springer Science and Business Media LLC
Subject
General Social Sciences,Philosophy
Reference19 articles.
1. Atkinson, D. & Peijnenburg, J. (2021). A New Condition for Transitivity of Probabilistic Support. Erkenntnis. Published online March 19, 2021. https://doi.org/10.1007/s10670-020-00349-7
2. Charig, C. R., Webb, D. R., Payne, S. R., & Wickham, J. E. A. (1986). Comparison of treatment of renal calculi by open surgery, percutaneous nephrolithotomy, and extracorporeal shockwave lithotripsy. British Medical Journal, 292, 879–882.
3. Eells, E., & Sober, E. (1983). Probabilistic causality and the question of transitivity. Philosophy of Science, 50, 35–57.
4. Glymour, C., & Eberhardt, F. (2008/2016). Hans Reichenbach. In Edward N. Zalta (ed.) The Stanford Encyclopedia of Philosophy. (Winter 2016 Edition), https://plato.stanford.edu/archives/win2016/entries/reichenbach/
5. Hitchcock, C. & Rédei, M. (2020). Reichenbach’s Common Cause Principle. The Stanford Encyclopedia of Philosophy (Spring 2020 Edition), Edward N. Zalta (ed.), URL = https://plato.stanford.edu/archives/spr2020/entries/physics-Rpcc/
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