Well, the probabilities wouldn't be literally zero. What I mean is that lack of a possibility of strong evidence against something, and only a possibility of very weak evidence against it (via absence of evidence) implies that strong evidence in favour of it must be highly unlikely. Worse, such evidence just gets lost among the more probable 'evidence that looks strong but is not'.
Ah, I think I follow you.
Absence of evidence isn't necessarily a weak kind of evidence.
If I tell you there's a dragon sitting on my head, and you don't see a dragon sitting on my head, then you can be fairly sure there's not a dragon on my head.
On the other hand, if I tell you I've buried a coin somewhere in my magical 1cm deep garden - and you dig a random hole and don't find it - not finding the coin isn't strong evidence that I've not buried one. However, there there's so much potential weak evidence against. If you've dug up all but a 1cm square of my ...
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