> When two incompatible views exist on a subject, at least one of them must be wrong.

Rarely can any significant argument be boiled down to something so simple that this is the case. What if there are two incompatible views on the course of action that should be taken to lead to some desired outcome? You really can't just say that one of them must be wrong. There is a whole web of tradeoffs, assumptions, and odds to consider - you can't simply determine "right" and "wrong".