So I have actually been thinking a lot about this lately, and even had a conversation last week about the existence of universals over lunch. Turns out what I'm used to calling "universals" are referred to as "Abstract Objects" in contemporary analytic Phil of Rel literature, which means that the symposium on "God and Abstract Objects" in the most recent issue of Philosophia Christi has a bunch of interesting information for me as someone who is trying to think through these things.
For those of you who also get this journal and are wondering why I am just now reading it, I have several reasons: Firstly, I'm in Germany, which means it came on the 17th of February. I know exactly when it came, because I was in the middle of participating in the Templeton Analytic Theology Masterclass, and I know it came that Friday because I had it that Saturday morning in the subway. That's my second reason: I was in the middle of said Masterclass, and while I read the article on natural theology in the subway, I had a bunch of other things going on (and still do!). Thirdly, I basically have a backlog of journals that I subscribe to where I haven't found time to read all the articles that even interest me, much less ones where I'm not clear on the topic or journals that I want to read a given article to which I don't subscribe. So they might be excuses, but I think they are acceptable ones.
So again, simply because something has "caught my eye", I'm reading into literature that has nothing to do with my current research project (though it is tangentially connected to part of another project I have on the back burner right now). I think there is some potential here, though, for me to do some future work, and here is why:
I really do not like the nominalist position. Not only does it fall prey in many forms to the argument from indispensability, nominalism brings with it a whole host of problems: As Paul Gould points out, Richard Weaver blamed it for the result of modern decadence; Hans Boersma has done a good job of showing how it contributed to a disassociation of the sacred with the "secular", something that I think ties into Milbank's criticism of social theory (let's play connect the dots!).
Besides this, I'm simply inclined to accept the existence of abstract objects in many cases. The argument brought forward against "Platonism" (let's not confuse "Platonists" about abstract objects with real Platonists or Neoplatonists, like Jens Halfwassen!) and Christianity seems to stick ok, and I think it is adequate to search for an alternative. I don't like Absolute Creation
tout court, though, because I think the bootstrapping objection will get traction if every abstract object is a concept in the divine mind. I am not pleased either with the implications that come from Yandell's idea of propositions as independent abstract objects, because I don't share his presuppositions about the necessary necessity of God (or, for that matter, his definition of God). Davis' limited conceptualism seems to work, but I don't know if it is the best solution, and anyway, we need an explanation for the things that aren't concepts. Davis admits this much, so I think at the very least his theory of limited conceptualism could be a part of a larger working theory.
I'm in the process of piecing together how I would, at least intuitively, classify different sorts of abstract objects in the hope that at the end I have a decent account of how God relates to them. I have some ideas, but I don't know all of the implications, and I think I am (interestingly!) going to have to draw on Tillich and Meister Eckhart in order to make some of this work. This is certainly going to be a longer project; with luck maybe I can get this funded and really spend some time thinking about it. If not, it may be quite some time before I can get everything working, and it will be a piecemeal thing until I get it all organized.
So, gentle readers, where do you fall on this debate? Does the question even occur to you (if not, or if what I am talking about is not clear, write something in the comments!)? How do you think about abstract objects?