My philosophical zombie, if it is logically possible, will reveal that there are mental properties of consciousness which are radically non-physical properties by this criterion. And that seems intuitively correct. However, some properties which intuitively present no difficulties for a physicalist outlook are hereby declared radically non-physical. Any relational property will come out as non-physical by this criterion. For example, a Canadian one dollar coin has a possible physical duplicate which is not money at all. However, it is easy to extend our criterion of non-physicality to cover relational properties thus: