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A Chamsonel Problem V (Posted on 2014-03-27) Difficulty: 3 of 5
The dominant species in Planet Blancneldos is the chamsonels. There are two types of chamsonels - logicians and philosophers. The chamsonels also have two different skin colors related to their veracity. Pink logician chamsonels always lie while blue logician chamsonels always tell the truth. Pink philosopher chamsonels always speak truthfully but blue philosopher chamsonels always speak falsely.

Here are the statements made by two of the inhabitants Antoninus and Boreas to a visitor from a neighboring planet who is color blind:
Antoninus: At least one of us is pink.
Boreas: That is not true!
Antoninus: We are both logicians.
What are the types of Antoninus and Boreas?

No Solution Yet Submitted by K Sengupta    
Rating: 1.0000 (1 votes)

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Solution Not sure...? | Comment 1 of 2

Anotnius can't be a Pink Logician, since they always lie but this would make his first statement true.  Similarly, he can't be a Pink Philosopher, since they always tell the truth but this would make his second statement false.  Thus Antonius is Blue.

If Antonius is a Blue Logician, then he's telling the truth.  This means Boreas is a Pink Logician, which is consistent with their statements.

If Antonius is a Blue Philosopher, then he's lying.  This means Boreas is a Blue Logician, which is consistent with their statements.

So I don't see a unique solution.  Am I overlooking something?

  Posted by tomarken on 2014-03-27 09:23:41
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