-=Dark_Angel=-, P.I.5 Apr 2005

No. The only two rules required are 1. He must answer the question. 2. He must tell a lie. You have already said you agree with both of these. Consider this simpler example. It makes your misunderstanding clearer:

Go to a Liar-Confuser and say "Consider the word that describes the colour of most peas. Does it begin with with G?" If he answers anything other than "No" then he has broken rule number 2: Thou shalt lie. Using the alphabetical method, you can extract from him the spelling of the word 'green'. It's exactly the same with the "Why did you do X?" example. Suppose X is "hit Father Christmas". And the Liar-Confuser's reason for hitting Father Christmas is "Because he's gay."

We say to the Liar-Confuser "Consider THE description of why you hit Father Christmas. Does it begin with A?"

THE description of why he hit Father Christmas is "Because he's gay". If the Liar-Confuser answers anything other than "Yes" to the first question, then he has not told a lie, because the description begins with B, not A. Do you get it now?