The professions of Mr. Miller, Mr. Painter, Mr. Treasurer and Mr. Hunter are: a miller, a painter, a treasurer and a hunter. However, none of them has a name identifying their profession. They made four statements:
- Mr. Miller is the hunter
- Mr. Treasurer is the miller.
- Mr. Painter is not the hunter.
- Mr. Hunter is not the painter.
According to those statements, the painter must be Mr. Painter, but this cannot be correct. Three of the four statements are false.
Who is the treasurer?