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Problem of the Week 905

Crazy Mathematicians

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Alice:   "I am insane."
Bob:     "I am pure."
Charlie: "I am applied."
Dorothy: "I am sane."
Alice:   "Charlie is pure."
Bob:     "Dorothy is insane."
Charlie: "Bob is applied."
Dorothy: "Charlie is sane."

Describe the four mathematicians, given that:

Source: Mathematics and Informatics Quarterly 9:4 Dec 1999 p. 162
© Copyright 2000 Stan Wagon. Reproduced with permission.

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22 February 2000