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SP also highlights the significant role played by CP in generating the paradox-
ical result. Such principles are what Field would suggest we jettison to escape
paradoxes.
Acknowledgments.
We wish to thank Prajit Basu, Abhijit Dasgupta, S. G.
Kulkarni, Vineet Nair, Davin Nelson and members of the Research Scholar Group
of the University of Hyderabad, Philosophy Department (where an earlier ver-
sion of the paper was presented) and three anonymous referees for their very
helpful comments. We are indebted to John G. Bennett for several key email
communications concerning the paradox.
References
1. Bandyopadhyay, P.S., Nelson, D., Greenwood, M., Brittan, G., Berwald, J.: The
logic of Simpson's paradox. Synthese 181, 185-208 (2011)
2. Bandyopadhyay, P.S., Greenwood, M., Dcruz, Don Wallace F., Venkata Raghavan,
R.: Simpson's Paradox and Causality. Am Philos Quart. (forthcoming)
3. Blyth, C.: On Simpson's Paradox and the Sure-Thing Principle. J. Am. Stat.
Assoc. 67(338), 364-366 (1972)
4. Field, H.: Saving Truth from Paradox. Oxford University Press, Oxford (2009)
5. Glymour, C.: Critical Notice. James Woodward's Making Things Happen: A The-
ory of Causal Explanation. Brit. J. Philos. Sci. 55, 779-790 (2004)
6. Good, I., Mitttal, Y.: The amalgamation and geometry of two-by-two contingency
tables. Annals of Statistics 15(2), 694-711 (1988)
7. Lycan, W.G.: What, exactly, is a paradox? Analysis 70(4), 615-622 (2010)
8. Meek, C., Glymour, C.: Conditioning and Intervening. Brit. J. Philos. Sci. 45,
1001-1021 (1994)
9. Pearl, J.: Causality. Cambridge University Press, Cambridge (2009)
10. Pearl, J.: Comment: Understanding Simpson's Paradox. Am. Stat. 68(1), 8-13
(2014)
11. Priest, G.: The logic of paradox. J. Philos. Logic. 8(1), 219-241 (1979)
12. Quine, W.V.O.: The Ways of Paradox and Other Essays. Revised and Enlarged.
Harvard University Press, Cambridge (1976)
13. Sorensen, R.: A Brief History of the Paradox. Oxford University Press (2003)
14. Sainsbury, R.M.: Paradoxes, 3rd edn. Cambridge University Press, Cambridge
(2009)
15. Spirtes, P., Glymour, C., Scheines, R.: Causation, Prediction, and Search. MIT
Press, Cambridge (2000)
16. Wheeler, G.: Two Puzzles concerning measures of uncertainty and the positive
Boolean connectives. In: Neves, J., Santos, M.F., Machado, J.M. (eds.) EPIA 2007.
LNCS (LNAI), vol. 4874, pp. 170-180. Springer, Heidelberg (2007)
17. Yule, G.U.: Notes on the Theory of Association of Attributes in Statistics.
Biometrika 2(2), 121-134 (1903)
