Trying to situate McDowell’s work within the rickety old categories central to the debate between realism and anti-realism can be quite tricky. McDowell himself has said that his position is not so much realism as anti-anti-realism. I take this to be another sign of his quietism, with the idea being that he wants to oppose an assumption common to realism and anti-realism. For both these positions might be understood as giving different answers to a question that McDowell would want to reject. That question being something like, “what makes the statements in a certain domain true or warranted?” The realist will typically point to something about the world — some fact or other truthmaker — where the anti-realist will typically point to something about our practices or world-view. I think McDowell, on the other hand, would want to reject purported explanations or theories of this kind as misguided. In Wittgensteinian terms, we might say that he thinks it enough for there to be an internal relation between norms and propositions and what they concern; something that a philosophical theory cannot offer a weighty explanation of.
A full exploration of McDowell’s position would encompass his readings of Hegel’s idealism and the Tractatus as well as his thinking about conceptuality and experience. All that aside though, I just wanted to mention a phrase that Crispin Wright uses in his review of Mind and World. He calls McDowell’s position a ‘sophisticated naive realism’. Although Wright no doubt uses this phrase in a barbed way, I think it has a certain charm. As such, I’d like to reclaim it as a positive description of the McDowellian enterprise. So, if McDowell has to be atop some horse in the realism vs. anti-realism race, I’ll think of his as a sophisticatedly naive one.