•  29
    Kant’s Mereological Account of Greater and Lesser Actual Infinities
    Archiv für Geschichte der Philosophie 105 (2): 315-348. 2023.
    Recent work on Kant’s conception of space has largely put to rest the view that Kant is hostile to actual infinity. Far from limiting our cognition to quantities that are finite or merely potentially infinite, Kant characterizes the ground of all spatial representation as an actually infinite magnitude. I advance this reevaluation a step further by arguing that Kant judges some actual infinities to be greater than others: he claims, for instance, that an infinity of miles is strictly smaller tha…Read more
  •  19
    Ontology and Atrocity: Teaching Heidegger's Philosophy of Art
    Journal of Aesthetic Education 55 (2): 15-35. 2021.
    This article sketches a strategy for teaching Heidegger’s essay “The Origin of the Work of Art” (“Origin”). I illustrate how one can address Heidegger’s Nazi affiliation while simultaneously engaging his philosophy of art on its own terms—goals that often work at cross purposes in the classroom. Like many, I read “Origin” together with Meyer Schapiro’s critique of Heidegger’s interpretation of a van Gogh still life of shoes, which figures so prominently in “Origin.” My innovation is to pair the …Read more
  •  789
    Infinity and givenness: Kant on the intuitive origin of spatial representation
    Canadian Journal of Philosophy 44 (5-6): 551-579. 2014.
    I advance a novel interpretation of Kant's argument that our original representation of space must be intuitive, according to which the intuitive status of spatial representation is secured by its infinitary structure. I defend a conception of intuitive representation as what must be given to the mind in order to be thought at all. Discursive representation, as modelled on the specific division of a highest genus into species, cannot account for infinite complexity. Because we represent space as…Read more