A new resolution of the Judy Benjamin problem
A new resolution of the Judy Benjamin problem
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朱迪·本杰明问题的新解决方案
DOI：
10.1093/mind/fzr051
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
J. Romeijn
中科院分区：
文献类型：
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作者：
I. Douven;J. Romeijn
货车Fraassen的Judy Benjamin问题通常被用来表明，如果可用的更新规则被限制为贝叶斯规则和Jeffrey的推广，则不是所有的信念的合理变化都可以在概率框架中建模。但是，基于概率分配之间的距离函数的替代规则据称可以处理这个问题，似乎有违反直觉的后果。从布拉德利最近的提议中得到启发，我们认为杰弗里的规则毕竟可以解决朱迪·本杰明问题。此外，我们表明，杰弗里的规则，解决了朱迪本杰明问题的具体实例，可以由一个特定的距离函数。最后，我们将距离函数集扩展到考虑到命题可能在认识上根深蒂固的不同程度的距离函数。
Van Fraassen’s Judy Benjamin problem has generally been taken to show that not all rational changes of belief can be modelled in a probabilistic framework if the available update rules are restricted to Bayes’s rule and Jeffrey’s generalization thereof. But alternative rules based on distance functions between probability assignments that allegedly can handle the problem seem to have counterintuitive consequences. Taking our cue from a recent proposal by Bradley, we argue that Jeffrey’s rule can solve the Judy Benjamin problem after all. Moreover, we show that the specific instance of Jeffrey’s rule that solves the Judy Benjamin problem can be underpinned by a particular distance function. Finally, we extend the set of distance functions to ones that take into account the varying degrees to which propositions may be epistemically entrenched.