If there is a type-token distinction that is parsed in some way and not another, it can only be with an eye to doing something with it; one fixes distinctions in place so as to be able to make intelligible moves in discourse. — StreetlightX
I keep circling around what I think of as a thoroughly naturalist and nominalist approach something like this: the difference between, say, a particular triangle and an "abstract" triangle is not that the latter is a different sort of object at all. The "abstract" triangle is still a particular, the one you imagine, the one printed in the book or drawn on the blackboard. The difference is in how you handle it. If you ignore none of its particularity, that might be taking it, say, as a work of art. But if you ignore many of its particular features -- its particular materiality, the thickness of its lines, etc. -- then you can treat it
as an abstract triangle.
@Nagase can answer this view though quite readily by pointing out that I am now relying on types or classes of actions to explain (away) types or classes of objects. Can I then try to explain these away following the same procedure? It looks like any attempt to avoid classes and types altogether is doomed to fail, even if we can avoid treating them as objects per se.
And there's an analogy here, perhaps more than an analogy, to the problem of talking
about concepts. Frege himself makes the point several times that when you talk about a concept, you're treating it as an object, so you're never talking about the concept
as concept. That you cannot do; you can only show how it works. (I'm also convinced that no Fregean should think propositions are objects.)
Where I want to end up is with an explanation of how the ideal actually comes to have a role in our lives. Grice speculates that maybe we never
quite mean anything, in the strictest sense, but we approach the ideal of meaning something and deem that success. Lewis also, in
Convention, reaches the surprising conclusion that maybe no one ever does speak a language in the Fregean sense -- again, we only approach this as an ideal. We huddle together in vaguely defined equivalence classes speaking languages that are near kin to each other. (And then there's Davidson: "We must give up the idea of a clearly defined shared structure which language-users acquire and then apply to cases. And we should try again to say how convention in any important sense is involved in language; or, as I think, we should give up the attempt to illuminate how we communicate by appeal to conventions." My bias is showing but how do you get away with that last clause in a paper that doesn't so much as mention David Lewis?)
That appeal to equivalence classes again looks like it demands something we've just said we can't have, real ideals, real types to ground the equivalence, and that backing off to our practices instead is no help. My suspicion is that it does help because the project of communal living gives you a choice: provisionally deem someone to be speaking a language you can understand or give up.