 Here, a property is groundable just in case it is apt for being grounded, i.e. it is the sort of property that can be either grounded or not. Ordinary psychological properties are presumably in this class. If grounding physicalism is true, they are grounded in physical properties, whereas if it is false, they are not grounded in physical properties; either way, they are groundable properties. But mathematical properties and the properties of abstracta more generally might in at least some instances not be groundable, they may fail to be properties that are apt for being grounded. If so, we have an alternative solution to the problem of abstracta: (7*) permits that some properties of abstracta are not grounded in the physical, so long as they are ungroundable. 