See? Isn't that silly? They'll break you waters to start contractions but if your waters break on their own and contractions don't start they'll have to induce you?
The truth is they don't have to break the waters and they don't have to induce you. As was said, the baby can be born in the sac and breaking the waters only works to start contractions occasionally (and actually can cause infection). Also, they don't have to induce you if contractions don't start right away. They can put you on antibiotics instead. But they won't tell us that, because they just want to get the baby born and get on to the next pregnant woman.
I won't be letting anyone break my waters. I also won't be letting anyone check to see how dialated I am, I don't think. And I'll have to be way late to let them induce me at all...