You can almost always find chains of coincidence to disprove magic. That's because it doesn't happen the way it does in books. It makes those chains of coincidence. That's what it is. It's like if you snapped your fingers and produced a rose but it was because someone on an aeroplane had dropped a rose at just the right time for it to land in your hand. There was a real person and a real aeroplane and a real rose, but that doesn't mean the reason you have the rose in your hand isn't because you did the magic.
Jo Walton, Among Others
magic