 In addition to the two-place predicate ‘has … in an intrinsic fashion’, we can introduce a modifier ‘intrinsically’, where, adapting one of the characterisations above, \(x\) is intrinsically \(F\) iff \(x\) is \(F\) in virtue of how \(x\) itself, and nothing else, is. (cf. Humberstone 1996, p. 228). This modifier takes predicates as arguments rather than names of properties or variables ranging over properties. Nominalists, who don’t believe in properties, might attempt to use this modifier to capture the intuitive distinctions associated with intrinsicality without committing themselves to properties. For example, a nominalist might claim that a table is intrinsically rectangular, while claiming to consistently hold that there is no property of being rectangular. (For simplicity, we will assume in the following that nominalism is false and that there are abundantly many properties and relations, some of which are intrinsic and some of which are extrinsic.)