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AdShea comments on Harry Potter and the Methods of Rationality discussion thread, part 6 - Less Wrong
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On the topic of Mad-Eye, as it has been established that Mad-Eye can see everywhere, why doesn't he go pick up Bella while she is weak?
Presumably there still is a limit to how much information his brain can process. Even if he could scan 1000m^2 per second on average (open land faster, forests, cities etc slower) he would need about 5000 years to search all of earth's land surface.
True, however assuming the cannon limitation on apparition distance and broomstick speeds, he could search the UK pretty quickly, followed by Europe.
Perhaps Quirrell expects this; she's not in Europe.