I examine the abstraction/representation theory of computation put forward by Horsman et al., connecting it to the broader notion of modeling, and in particular, model-based explanation, as considered by Rosen. I argue that the ‘representational entities’ it depends on cannot themselves be computational, and that, in particular, their representational capacities cannot be realized by computational means, and must remain explanatorily opaque to them. I then propose that representation might be realized by subjective experience, through being the bearer of the structure (...) of abstract objects that are represented. (shrink)

In-principle restrictions on the amount of information that can be gathered about a system have been proposed as a foundational principle in several recent reconstructions of the formalism of quantum mechanics. However, it seems unclear precisely why one should be thus restricted. We investigate the notion of paradoxical self-reference as a possible origin of such epistemic horizons by means of a fixed-point theorem in Cartesian closed categories due to Lawvere that illuminates and unifies the different perspectives on self-reference.

Representationalist accounts of mental content face the threat of the homunculus fallacy. In collapsing the distinction between the conscious state and the conscious subject, self-representational accounts of consciousness possess the means to deal with this objection. We analyze a particular sort of self-representational theory, built on the work of John von Neumann on self-reproduction, using tools from mathematical logic. We provide an explicit theory of the emergence of referential beliefs by means of modal fixed points, grounded in intrinsic properties yielding (...) the subjective aspects of experience. Furthermore, we study complications introduced by allowing for the modification of such symbolic content by environmental influences. (shrink)