In fact, I think that if a question can be definitely answered, then it is obviously not one of the really important questions. Superficially, Pilate's question has simple answers. But the more I think about it, the more difficult the question becomes. Even if that last question has a simple answer, it may be interesting to try to find an example of a lie which is the truth, even if none exists. I think philosophy is important and profound.
Philosophers ask important and profound questions.
I think this is their mission, and their great achievement. But when one of them claims to have an answer to one of these important questions, I think that trivializes the question. Of course they should not just ask questions, but attempt to answer them. This attempt is as thought provoking as the questions themselves. But I don't think that they can really answer the big questions.