Four mathematicians have the following conversation:
A: I am insane.
B: I am pure.
C: I am applied.
D: I am sane.
A: C is pure.
B: D is insane.
C: B is applied.
D: C is sane.
You are also given 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.
Describe the four mathematicians.
A is insane, because no one denied it, and he said he was
B is pure, because he said he was, even though C said B was applied, it was a lie, because C himself admitted to being applied
C is insane, because he wouldn't have said he was applied if he was, he would've said he was something else, because applied mathematicians lie about their beliefs. by misconceiving what he is, this makes him insane.
D is insane, beacuase B is pure
......? let's check the solution....
hmm
