Radicalizing numerical cognition

In recent decades, non-representational approaches to mental phenomena and cognition have been gaining traction in cognitive science and philosophy of mind. In these alternative approach, mental representations either lose their central status or, in its most radical form, are banned completely. While there is growing agreement that non-representational accounts may succeed in explaining some cognitive capacities (e.g. perception), there is widespread skepticism about the possibility of giving non-representational accounts of cognitive capacities such as memory, imagination or abstract thought. In this paper, I will critically examine the view that there are fundamental limitations to non-representational explanations of cognition. Rather than challenging these arguments on general grounds, I will examine a set of human cognitive capacities that are generally thought to fall outside the scope of non-representational accounts, i.e. numerical cognition. After criticizing standard representational accounts of numerical cognition for their lack of explanatory power, I will argue that a non-representational approach that is inspired by radical enactivism offers the best hope for developing a genuine naturalistic explanatory account for these cognitive capacities.

     

What Is Left of the Active Externalism Debate?

Since the publication of Clark and Chalmers' Extended Mind paper, the central claims of that paper, viz. the thesis that cognitive processes and cognitive or mental states extend beyond the brain and body, have been vigorously debated within philosophy of mind and philosophy of cognitive science. Both defenders and detractors of these claims have since marshalled an impressive battery of arguments for and against “active externalism.” However, despite the amount of philosophical energy expended, this debate remains far from settled. We argue that this debate can be understood as answering two metaphysical questions. Yet prominent voices within the debate have assumed that there is a tight relationship between these two questions such that one question can be answered via the other. We defend an alternative ‘wide’ view, whereby mentality is understood as constituted by wide social and cultural factors. Our wide view entails that the two metaphysical questions are separate and should be kept distinct. This suggests that active externalism as understood by prominent voices within that debate requires dissolution, rather than solution. However, if the debate were instead understood as only focusing on the second of the two questions, then there could be a possible future for this debate.     

Non-representationalist cognitive science and realism

Embodied and extended cognition is a relatively new paradigm within cognitive science that challenges the basic tenet of classical cognitive science, viz. cognition consists in building and manipulating internal representations. Some of the pioneers of embodied cognitive science have claimed that this new way of conceptualizing cognition puts pressure on epistemological and ontological realism. In this paper I will argue that such anti-realist conclusions do not follow from the basic assumptions of radical embodied cognitive science. Furthermore I will show that one can develop a form of realism that reflects rather than just accommodates the core principles of non-representationalist embodied cognitive science.