In a recent paper, Yoaav Isaacs, Alan Hájek, and John Hawthorne argue for the rational permissibility of ’credal imprecision’ by appealing to certain propositions associated with non-measurable spatial regions: for example, the proposition that the pointer of a spinner will come to rest within a certain non-measurable set of points on its circumference. This paper rebuts their argument by showing that its premises lead to implausible consequences in cases where one is trying to learn, by making multiple observations, whether a certain outcome is associated with a non-measurable region or a measurable one.

中文翻译：

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不可测量性是否有利于不精确性？

在最近的一篇论文中，约阿夫·艾萨克斯 (Yoaav Isaacs)、艾伦·哈耶克 (Alan Hájek) 和约翰·霍桑 (John Hawthorne) 通过诉诸与不可测量的空间区域相关的某些命题，论证了“信用不精确”的理性容许性：例如，旋转器的指针将会出现的命题停留在其圆周上某个不可测量的点集内。本文反驳了他们的论点，表明如果人们试图通过多次观察来了解某个结果是否与不可测量的区域或可测量的区域相关，则其前提会导致难以置信的后果。