You learn that one of the aliens living on this planet is a wizard. You learnt that by overhearing a certain question being asked on the planet. What question could that have been?
Suppose you meet a person inhabiting this planet and they ask you “Am I a Crick?" What would you conclude?
You meet two friends, Katja and Anja. Katja once asked Anja “Is at least one of us a Goop?"
What kinds are Katja and Anja?
You later learn that there is exactly one wizard on this planet of Cricks and Goops. You would like to find out who that is.
You meet an alien called Andrew. He asks you “Am I the kind that could ask whether I am not the wizard?"
Do you have enough information to tell for sure who the wizard is by now?
You meet another alien, whose name is Teddy. He asks you “Am I the kind who could ask whether I am a Goop?"
Can anything be deduced about Teddy?
You meet a couple, Dan and Daisy. Dan asks Daisy “Are you the kind who could ask me whether I am a Goop?"
What can be deduced about Dan and Daisy?
You meet an alien (either a Crick or a Goop) called Bobby. He asks you “Am I the kind who could ask whether the wizard is the kind who could ask whether I (Bobby) am the wizard?"
Do you now know for sure who the wizard is?
On the planet of Cricks and Goops, you then meet a strange alien who asks you “Am I the kind who could ask you the question I am now asking?"
What can be said about her?
You meet three friends: Alex, Bernie and Carol. Alex asked Bernie “Are you the kind who could ask Carol whether she is the kind who could ask you whether you two are of different kinds?".
You might realise that it is only possible to deduce the kind of one of the three friends. Which one and are they a Crick or a Goop?
You meet an alien (either a Crick or a Goop) called Charlie. He asks you “Are the wizard and I the same kind?"
Who is the wizard?