Raven paradox
Raven paradox

Raven paradox - Wikipedia

The raven paradox, also known as Hempel's paradox, Hempel's ravens or, rarely, the paradox of indoor ornithology, is a paradox arising from the question of what constitutes evidence for the truth of a statement.
I'm probably misunderstanding, but this doesn't feel like a paradox to me. Logic that applies to a positive doesn't necessarily apply to an inverse statement. They are not stating the same thing.
You're correct, it says so in the article further down, It's not a paradox in the "formal" sense, it's only a paradox in the sense of what intuitively would be considered evidence, but in actuality isn't, I'll try to give an easier example to demonstrate use of actual basic logic.
Claim: "all natural* numbers are even".
Also as a demonstration, let's invert the claim formally, we swap "all" with "exists", and invert predicates: "exists a natural number which isn't even", this inverse is useful because it can point to how to disprove the original claim, because there exists such a number (1), i can say that i proved the inverse of the original claim, this is equivalent to disproving it.
Tldr: the paradox is a short exercise in how formal logic differs from naive intuition, there isn't really a paradox.