We examine a general class of variable-value population principles. Our particular focus is on the extent to which such principles can avoid the repugnant and sadistic conclusions. We show that if a mild limit property is imposed, avoidance of the repugnant conclusion implies the sadistic conclusion. This result generalizes earlier observations by showing that they apply to a substantially larger class of principles. Our second theorem states that, under the limit property, the axiom of mere addition also conflicts with avoidance of the repugnant conclusion. This result is a consequence of a similar observation that appears in the earlier literature.

中文翻译：

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重新审视可变值总体原则

我们研究一类一般的变量值总体原理。我们特别关注的是这些原则在多大程度上可以避免令人反感和虐待狂的结论。我们证明，如果施加温和的限制属性，避免令人反感的结论就意味着虐待狂的结论。这一结果概括了早期的观察结果，表明它们适用于更大的一类原理。我们的第二个定理指出，在极限性质下，单纯加法公理也与避免令人反感的结论相冲突。这一结果是早期文献中出现的类似观察的结果。