How it is that one can (seemingly) reason effectively using inductive logic despite its not being, according to Hume, formally valid is exactly the question Hum

How it is that one can (seemingly) reason effectively using inductive logic despite its not being, according to Hume, formally valid is exactly the question Hume is interested in. You might think he's wrong to find this interesting, which is fine. But remember that the point of philosophy is to be grappled with--if you ignore the work just because you think the conclusion is incorrect, I submit that you're doing it wrong.