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The lottery paradox generalized?

机译:彩票悖论一概而论?

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摘要

In a recent article, Douven and Williamson offer both (i) a rebuttal of various recent suggested sufficient conditions for rational acceptability and (ii) an alleged 'generalization' of this rebuttal, which, they claim, tells against a much broader class of potential suggestions. However, not only is the result mentioned in (ii) not a generalization of the findings referred to in (i), but in contrast to the latter, it fails to have the probative force advertised. Their paper does however, if unwittingly, bring us a step closer to a precise characterization of an important class of rationally unacceptable propositions - the class of lottery propositions for equiprobable lotteries. This helps pave the way to the construction of a genuinely lottery-paradox-proof alternative to the suggestions criticized in (i).
机译:在最近的一篇文章中,杜文和威廉姆森都提供了(i)对最近提出的各种建议的合理条件进行充分的反驳,以及(ii)对这种反驳的所谓“概括”,他们认为这反驳了更大范围的潜在可能性建议。但是,不仅(ii)中提到的结果不是对(i)中提到的发现的概括,而且与后者相反,它并没有公布证明力。但是,他们的论文确实使我们更加接近了对一类重要的,理性上无法接受的命题-等概率彩票的命题类型-的精确刻画。这有助于为构建真正的防彩票悖论的方法铺平道路,以替代(i)中批评的建议。

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