And if you're really concerned about it, you could always install a ...

Well, dammit. I can't think of what to call them now, and a Google fails me, but they make these passive valves that detect when the flow of water is high, indicating a burst pipe, and automatically shut off the incoming water. I can't remember the exact specifics, but it's something like a spring-loaded cork that when the flow is low, stays out of the hole, but when the pressure goes up, the pressure pushes it into the hole and holds it there. Seems like it was even more passive than a spring, though.