Doctors and Brothers

Three doctors said that Bill was their brother. Bill says he has no brothers. How many brothers does Bill actually have?




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There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.