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pragmatist comments on Evidence and counterexample to positive relevance - Less Wrong
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Actually, Achinstein's claim is that the first one does not need to be satisfied - the probability of h does not need to be increased by e in order for e to be evidence that h. He gives up the first condition because of the counterexamples.
Well, duh. You're right, the post was pretty clear about this. I need to read more carefully. So does he believe that the second condition is both necessary and sufficient? That seems prone to a bunch of counterexamples also.
So, he claims that it is just a necessary condition - not a sufficient one. I didn't reach the point where he offers the further conditions that, together with high probability, are supposed to be sufficient for evidential support.
p.s: still, you earned a point for the comment =|