Well, it looks like I’m going to have to break my moratorium on posting about OOO again, given that Levi has just thrown down the gauntlet on his blog (here), specifically challenging us Sellarsians/Brandomians to account for the paradoxes of material implication. Moreover, he’s done it in the context of resurrecting the first debate between himself and I, concerning the reality of fictional objects (all of the appropriate references to which should be trackable from here).
I’ll say up front that I don’t think what Levi’s written poses any problems for either me or anyone else he references (including Brandom, Sellars, Ladyman and Ross, and Ray Brassier (given the reference to ‘eliminative materialists’, ‘scientism’, and his explicit remarks in the comments)). I don’t think it poses any problems for me because it completely misses my own position on the nature of reality (in the sense of ‘realness’ – it can also be read as a substantive, roughly synonymous with ‘the world’, or ‘the universe’, but I tend to call that ‘the Real’) and thus what it is for fictional objects to lack it. I don’t think it poses any problems for anyone else because it’s not clear what consequences Levi is trying to draw from the paradoxes of material implication. I’ll tackle these points in turn, along with a number of others along the way.
This is another long post, so be warned. If you’re only interested in my own account of fiction, try sections 1 & 2. If you’re only interested in my criticisms of Levi’s thoughts on logic, try sections 3 & 4. If you’re only interested in my interpretation of Brandom, try sections 5-7. And if you’re only interested in my brief comments on how this applies to Ray (which will be hard to read in isolation), read section 8. Now, on with the show.
[Update: Anyone who wants a more concise analysis of the problems with Levi’s appeals to logic should look at Zachary Luke Fraser‘s comments on the original post (here), and David Roden’s post on his blog (here). As I’ve noted before, brevity is not one of my virtues.]