Hume on Spatial Properties

I defend a reading of David Hume’s nominalism that he comes close to Keith Campbell's contemporary trope theory in the specific case of spatial properties. I argue that Hume's view should be construed as classifying spatial properties as Campbellian tropes (particular properties): abstract, particular, determinate and qualitatively simple properties. This has implications for reconstructing Hume's answer to the problem of universals. I argue that Hume’s account of objects resembling each other in respect of spatial properties is grounded in the resemblance of tropes rather than in the resemblance of objects.