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This work was supported in part by National Science Foundation grants to Harvard University and to the University of California at Irvine. We thank George Avrunin, Michael Cohen, and Jean-Claude Falmagne for their helpful comments; in particular, Avrunin pointed out an error in an earlier proof of Theorem 7.
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Luce, R.D., Narens, L. Qualitative independence in probability theory. Theor Decis 9, 225–239 (1978). https://doi.org/10.1007/BF00133452
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DOI: https://doi.org/10.1007/BF00133452