Abstract
There are two major theories of properties that employ resemblance classes to avoid commitment to universals.' Object-resemblance nominalism (ORN) faces the notorious companionship and imperfect community difficulties, though some costly remedies have been proposed. Trope-resemblance nominalism (TRN), in contrast, is commonly supposed to avoid these difficulties altogether. My contention is that both versions of resemblance nominalism are subject to companionship and imperfect community difficulties. If I am right, (1) trope theory loses one of its primary selling points, and (2) resemblance nominalists of either type must appeal to the troublesome remedies that I discuss below.
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