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假设甲乙丙三人，面对ABC三个备选方案，有如下的偏好排序：
甲A＞B＞C
乙B＞C＞A
丙C＞A＞B
由于甲乙都认为B好于C，根据少数服从多数原则，社会也应认为B好于C；同样乙丙都认为C好于A，社会也应认为C好于A。所以社会认为B好于A。但是，甲丙都认为A好于B，所以出现矛盾。
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