Four mathematicians have the following conversation:
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.
You also have the information that:
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.
You also have the information that:
- Pure mathematicians tell the truth about their beliefs.
- Applied mathematicians lie about their beliefs.
- Sane mathematicians beliefs are correct.
- Insane mathematicians beliefs are incorrect.
1 comment:
There are four possible kinds of mathematicians:
Pure and sane : T
Pure and insane : F
Applied and sane : F
Applied and insane : T
Answer:
Alice: applied and insane.
Bob: pure and sane.
Charlie: pure and insane.
Dorothy: pure and insane.
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