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Jayson Fritz-Stibbe's avatar

“You can prove a negative” plus “God works in mysterious ways” is an absolutely impenetrable argument if you grant both premises

Silas Abrahamsen's avatar

Good post! I think I pretty much agree with the practical implications of what you say. But I'm pedantic enough that I want to object to the idea that proving a negative is particularly problematic in general; if you can't prove a negative, then you also can't prove a positive (generally).

If we hold a very strict standard for what counts as "proof," then the three kinds of negatives that can be proven are plausibly the only ones--but tautologies, perception, and systems of clear answers would then also be the only places where you can reliably prove a positive.

For example, with Napoleons breakfast, what would it look like to prove that he did? Probably some source saying "Truly, Napoleon broke his fast on the 25th anniversary of his birth" or something like that. But if that is enough to prove that he did, a similar source saying that he didn't have breakfast would also do the trick. If you can't prove the one, you can't prove either.

More generally, it seems to me that there isn't any deep difference between "negative" and "positive" statements. You can always make an equivalent of any positive into a negative one and vice versa. The hard-headed version is with the humble double-negation, but that's not particularly interesting.

But consider the Hilary Clinton example. Let's designate the part of the world that is Epstein's island "E" and the rest "W". You can then make the pair "Hillary Clinton was on E," and "Hilary Clinton was not on E". But you could also say "Hilary Clinton was always in W" and "Hilary Clinton was not always in W". Here there is a negative and a positive that say the same thing, meaning the negative and positive are equally hard to prove.

Consider also expanding E (and so shrinking W) making the two propositions closer to equally hard to prove. At that point it starts to make less sense to talk of negative and positive statements.

I think this can be done more generally (for example theism and atheism seem to me symmetric in this sort of respect). What we count as positive and negative is more about pragmatics than any deep fact about the content of the thing uttered, or how easy it is to prove. (I think the stuff we count as "positive" statements is more usually a universal statement, which would require only one or few counterexamples, and vice versa).

Again, I don't think this matters particularly much for the points about dialectics that your post is actually about. I'm just a pedant lol.

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