 Support for Identity is garnered from intuitions: that the cat’s being on top of the mat is the very same state as the mat’s being underneath the cat, that Obama’s being taller than Putin is the very same state as Putin’s being shorter than Obama, and so on. Uniqueness is based upon more overtly theoretical grounds. States are often conceived as complexes of things, properties and relations. They are, so to speak, metaphysical molecules built up from their constituents, so states built up from different things or properties or relations cannot be identical. Hence it cannot be the case that the holding of two distinct relations give rise to the same state.