Mount Pleasant, Michigan, United States of America
  •  23
    Mental Magnitudes and Increments of Mental Magnitudes
    Review of Philosophy and Psychology 4 (4): 675-703. 2013.
    There is at present a lively debate in cognitive psychology concerning the origin of natural number concepts. At the center of this debate is the system of mental magnitudes, an innately given cognitive mechanism that represents cardinality and that performs a variety of arithmetical operations. Most participants in the debate argue that this system cannot be the sole source of natural number concepts, because they take it to represent cardinality approximately while natural number concepts are …Read more
  •  254
    Analog and digital representation
    Minds and Machines 18 (3): 403-408. 2008.
    In this paper, I argue for three claims. The first is that the difference between analog and digital representation lies in the format and not the medium of representation. The second is that whether a given system is analog or digital will sometimes depend on facts about the user of that system. The third is that the first two claims are implicit in Haugeland's (1998) account of the distinction.
  •  42
    Analog representations and their users
    Synthese 193 (3): 851-871. 2016.
    Characterizing different kinds of representation is of fundamental importance to cognitive science, and one traditional way of doing so is in terms of the analog–digital distinction. Indeed the distinction is often appealed to in ways both narrow and broad. In this paper I argue that the analog–digital distinction does not apply to representational schemes but only to representational systems, where a representational system is constituted by a representational scheme and its user, and that whet…Read more