This seems like an interesting case in the field of Truth Studies. The rules of baseball don't allow for instant replay, but the truth, as anyone who watches the video can tell, is that the umpire made the wrong call here. That makes baseball an institution with more respect for "the Law" than for Truth, and that troubles me a bit. But as I think about it, this seems to be an inevitable problem with Law. It must obey itself first, even when, after the fact, it recognizes its mistake. And isn't that necessary?--precisely because sometimes we need a decision in the moment, before we can watch the metaphorical (and actual) "instant replays," etc.?
But as a Tigers fan, I just wish that the umpire could call up the commissioner and say, "I got that one wrong. Let's change the score book and make it a perfect game, because it was."