As I said, I do believe that if the formulation is abusive anything is possible. My quip is that logic puzzles shouldn't necessarily follow classical logic -- i

As I said, I do believe that if the formulation is abusive anything is possible. My quip is that logic puzzles shouldn't necessarily follow classical logic -- instead it should roughly be understood as "assume the statement is sincere and infer from that". Perhaps that's not the convention though. Here's a system of logic where the puzzle has a solution: https://en.wikipedia.org/wiki/Three-valued_logic#Kleene_and_Priest_logics https://en.wikipedia.org/wiki/Three-valued_logic#Kleene_and_... If your logic system doesn't accept an inconsistent statement when they may occur, I tend to blame the logic system rather than reject reality. Here's a paradox illustrating my point: https://en.wikipedia.org/wiki/Raven_paradox https://en.wikipedia.org/wiki/Raven_paradox (and others https://en.wikipedia.org/wiki/List_of_paradoxes#Logic https://en.wikipedia.org/wiki/List_of_paradoxes#Logic)