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    The case of overlapping regions A and B appears to be one... — Carmelics
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    Supports→Formulating a sufficiently general notion of distinctness for events is problematic

    The case of overlapping regions A and B appears to be one where events A and B are insufficiently distinct

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    Formulating a sufficiently general notion of distinctness for events is problema...If the criterion for non-distinctness were probabilistic near-overlap, it would ...When regions A and B are interpreted as sets of possible states in a Venn diagra...

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    If two spatial regions A and B almost completely overlap but neither c...86%When regions A and B are interpreted as sets of possible states in a V...82%A common cause that precedes both events may fail to screen off the co...81%Events A and B that occur in almost completely overlapping spatial reg...79%

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    Now suppose that the regions A and B almost completely overlap, but neither is contained within the other (see Figure 5(b)). Again, the corresponding events A and B will be correlated, and the earlier common cause may not screen them off. (Arntzenius (1999 [2010: section 2.4]) has an example that has essentially this structure.) It seems that this case, too, is one in which the events A and B are insufficiently distinct. But now it becomes difficult to formulate a notion of distinctness that i

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