Infallibility is the idea that something cannot be wrong. In a Christian context, it refers to a belief that the Church or the Pope cannot be wrong when speaking under certain conditions. The conditions have been redefined occasionally - when it was proved that they were, in fact, wrong. However, when the wrongness may be in doubt - on moral issues, for example - it is usually said that the interpretation that was wrong, but the proclamation was true. Obviously, such an argument can given indefinitely.