For those that say that the plane doesn't move...

Remember: the treadmill MATCHES the speed of the plane.

With that said, you are creating a logical paradox. I don't understand how people can come to a conclusion that is a logical paradox. If you think the plane won't take off you realize that you are stuck in a logical impossibility. If you think it won't take off you also think that the plane won't move. If the plane wont move, neither does the treadmill. So how would that work when the plane starts it's engines? it moves and then the treadmill moves and the plane stops? but then the treadmill stops and the plane starts moving again and so on.. it's a paradox, it can not be true.