Emmanuel Ordóñez Angulo

Seeing total darkness is a peculiar perceptual state: in it, the subject is visually aware of something while seeming to fail to be aware of anything. Recent treatments of the topic (Sorensen 2008, Soteriou 2000) leave this particular puzzle unsolved. Here, I attempt a solution. Following Dretske, I begin by suggesting that the perceptual report ‘S sees (total) darkness’ is ambiguous between two distinct kinds of perceptual states: epistemic and non-epistemic. This will lead to an examination of the metaphysics of what is supposed to be seen. I show, on the one hand, the difficulty of reducing the perception of total darkness to the perception of a particular instantiation of a property, and on the other, that it has important similarities with the perception of (non-particular) ‘stuff’. I propose, finally, that the solution to the puzzle might involve postulating a novel ontological status for total darkness: that of a ‘concrete universal’. Potential implications of interest for particularism and for naïve realism are suggested.

I begin by proposing a notion of mathematical understanding; then I take a brief look at four approaches to the task of teaching infinity to mathematical novices—four approaches, that is, to “popular” philosophy and mathematics—and assess whether they provide such an understanding. But I don’t mean this to be a recommendation for or against any author. Rather, I want to submit the idea that mathematical understanding is an important dimension of popularizing efforts, all of which can be valuable, to be sure, along other dimensions.