I think this somehow misses the crux for the problem of induction. By redefining “justification” (and your definition is reasonnable), you get to speak of partially justifying a general statement that has not yet been fully observed. Sure.
But this doesn’t solve the question. The question, in your example, would be closer to “On what basis can I, having seen a large number of swans being white, consider it now more likely that the next swan I see will be white”?
I think this somehow misses the crux for the problem of induction. By redefining “justification” (and your definition is reasonnable), you get to speak of partially justifying a general statement that has not yet been fully observed. Sure.
But this doesn’t solve the question. The question, in your example, would be closer to “On what basis can I, having seen a large number of swans being white, consider it now more likely that the next swan I see will be white”?