 Since being such that there is a number is neither a local property or an identity interior property, but is a duplication preserving property (given numbers necessarily exist), the duplication preserving properties do not coincide with either the local properties or the identity interior properties. Since being Obama is a metaphysical necessitation interior property, but is not a duplication preserving property, the duplication preserving properties don’t coincide with the metaphysical necessitation interior properties either. (Moore (1922) and Dunn (1990), in effect, both distinguish duplication preservation from interiority on these grounds.) Hence, we have at least four distinct kinds of properties that are characterised by Lewis’s three characterisations: local properties, identity interior properties, metaphysical necessitation interior properties, and duplication preserving properties.