This is perhaps the best version of the liar's paradox that I've seen, because it has real effects in the world (Pinocchio's nose really does grow when he lies). I think it helps show up the problems with the 'paradox', though, in a Schroedinger's Cat kind of way. That is, Pinocchio's nose will either grow or not grow, collapsing the paradox.
I think it won't grow, because I don't think he's actually 'lying' here. He's playing a whole other game. His statement is neither true nor false — he's just trying to create a logical paradox.
Comments
This is perhaps the best version of the liar's paradox that I've seen, because it has real effects in the world (Pinocchio's nose really does grow when he lies). I think it helps show up the problems with the 'paradox', though, in a Schroedinger's Cat kind of way. That is, Pinocchio's nose will either grow or not grow, collapsing the paradox.
I think it won't grow, because I don't think he's actually 'lying' here. He's playing a whole other game. His statement is neither true nor false — he's just trying to create a logical paradox.