I want to start off by thanking Chloe Armstrong for carefully reading and presenting my paper. She does a great job of summarizing my overall view in the beginning of her post. After that she proposes to reexamine the notion of semantic grounding first with respect to Leibniz’s own system and then with respect to Michael Della Rocca’s more general Rationalist Dilemma.
In my paper, in a footnote, I note that “Leibniz’s full semantics is, of course, further complicated by … his esoteric view of truth.” Armstrong presses this point, wondering how we might reconcile my “account of semantic grounding with Leibniz’s conceptual containment theory of truth.” The answer she offers seems to me essentially right. Given Leibniz’s conceptual containment theory of truth, at the end of the day, he’ll have to say that the truth of relational statements is at least partially dependent upon concepts in the divine intellect. The response I offer on Leibniz’s behalf to Della Rocca’s challenge, however, should remain effective as long as he allows – as I think he does, and as Armstrong suggests – that the truth of relational statements concerning co-existence are either partially or immediately grounded in features of the actual world.
Della Rocca’s Rationalist Dilemma is a challenge not just for Leibniz but for all would-be rationalists. In my paper, I suggest that at least some contemporary rationalists might want to follow Leibniz’s way out of Della Rocca’s Dilemma. Some of Leibniz’s background commitments are, however, highly contentious. Armstrong thus wonders, quite fairly, “Why, then, should we take Leibniz’s way out if we reject key aspects of Leibniz’s way into the problem?” Why indeed? I’ll take up this question in my reply to Armstrong’s second post.
[Posted on behalf of Jeff McDonough]