All swans being white is a horrible example anyway. Knowledge isn't just knowing what happens, it's knowing why or how it happens. Saying that all swans are white is not a scientific statement because it lacks the most crucial part, which is the explanation.

I agree with photolysis. To say that induction is invalid is a self-detonating statement. You can't say the words "induction is invalid" without making inductive assumptions about how your lips will move (or fingers in this case). Therefore, as unintuitive it may seem to you, induction fundamentally can't be invalid.