"[One] wonders: ‘if there was no self, where would the self's properties come from?’ The worry behind this question is that the undeniable fact that there are properties of the self—since the Madhyamaka does not want to deny that seeing, feeling, tasting and so forth takes place — implies that there must be a bearer of such properties, i.e. a self. Since properties depend existentially on something that instantiates them a self must be postulated as the instantiator of all the mental properties we observe. It appears as if we need a substratum for the psychological states, desires, beliefs and so on. However, the body, because of its continuously changing nature, cannot be regarded as adequate for such a substratumhood. Therefore some kind of self has to be postulated. But if we take into account the distinction between constitutive and instantiated properties described above it seems possible to dissolve this worry.
Nāgārjuna differentiates between the property we see as constituting an individual (such as roundness in the case of a circle, treeness in the case of a tree etc.) and those properties that the individual is then taken to instantiate (such as redness in the case of the circle, and greenness in the case of the tree). As became evident in the discussion of motion where Nāgārjuna introduces this distinction, the difference between constitutive and instantiated properties is not regarded as bearing any ontological weight. It is rather a reflection of our epistemic priorities and practical concerns that we describe an object as a tree which is green, rather that as a green object which has the property of treeness. There is therefore no fundamental ontological difference between a substratum (dravya) and the qualities (guṇa) that inhere in it, contrary to the view that is e.g. held by the Naiyāyikas. When we speak of an individual having a property we nominalize the predicate expressing the property we take to be constitutive and ascribe the instantiating properties to the individual thus created. There is, however, no deep ontological reason why we could not change our view of what the constitutive and what the instantiating properties are, and thereby describe the very same situation in terms of different individuals and properties. But if we accept this picture of ontology it is evident that we are not obliged to infer the existence of a substratum or underlying individual from the existence of a quality. Of course the Mādhyamika does not deny that there are a variety of sensory and mental events that happen in close temporal and causal connection. But our ascription of these to a single self does not commit us to the existence of such a self at the ontological level, any more than the ascription of redness to a circle commits us to the existence of an individual — the circle — and the redness it instantiates. In the same way in which we select one property, such as circularity, as constitutive and then group all the other properties around this new-found ‘individual’, in the same way we select certain properties of a causal nexus of sensory and mental events, some ‘shifting coalition of psycho-physical elements’ and group the remainder of the properties around this new-found ‘self’. To speak of the self and its properties in terms of substratum and quality is perfectly acceptable, as long as we do not assume that such talk is based on a distinction with an ontological grounding."