I know next to nothing about trope theory. I bet at least a couple people here do though. If you do, do you have any thoughts on it?
Here is a link to a paper, by D.C. Williams. I’ve perused it before and found it interesting, but I haven’t read it lately.
I did just re-read the introduction by Keith Campbell, which I’ll cut & paste here:
[i]"Many philosophers have admitted the existence of abstract particulars, properties that occur as particulars, or, as Donald Williams dubed them, ‘tropes’. Anyone who accepts Peirce’s type/token distinction as holding for the colors, for example, accepts instances of properties as particulars. Anyone who, like Locke, adheres to a substance-property ontology, but also insists that all things are always only particular, affirms that properties are particulars – that is, tropes.
What marks off a trope metaphysic from others is to be found in what the ontology denies, rather than in what it affirms. A trope metaphysic gets its importance from the primacy that it accords to them. Its bite comes from the claim that these are the basic elements, the ‘alphabet of being’, as Donald Williams has it. This claim involves as an essential element the denial of the existence of genuine universals. This is a first and most significant dimension of economy. Further, in Williams’ theory, the primacy of tropes is coupled with a bundle theory of complex concrete particulars. So the theory also involves the denial of the reality of substances as substrata bearing the properties that inhere in them, or acting as an essential principle of individuation. Here is a second significant dimension of economy.
This search for ontic economy drives trope theory. Williams’s ontology admits but a single basic category, the abstract particular or trope. It is worth emphasizing that this position is not any form of Nominalism, where that term implies the denial of the existence of properties (and relations). Quite the contrary: trope theory affirms that Reality consists in nothing but (monadic or polyadic) properties. Rather than a Nominalism, this view is better described as a strict Particularism – it does not deny that there are properties, but denies that properties are Universals.
Nor does trope theory deny the existence of simple or complex individuals. It does not admit substance as a distinct category, but individual basic tropes are substances in the Humean sense – they are capable of independent existence. They do not require an underlying substratum to bear them. It is one of this ontology’s great attractions that it can in this way dispense with the Inherence relation, together with all its attendant difficulties.
In this classic paper, Donald Williams pioneers the trope metaphysic, providing us, in beguiling rhetoric, and a most admirable independence of mind, an original view of a perennial crux in metaphyics."[/i]
(PDF), which appears to be a refutation of Campell’s assertion that tropes can be “simple” (uncompounded).