In §54 of the Grundlagen, Frege advances an interesting proposal on how to distinguish among different sorts of concepts, only some of which he thinks can be associated with number. This paper is devoted to an analysis of the two criteria he offers, isolation and non-arbitrary division. Both criteria say something about the way in which a concept divides its extension; but they emphasize different aspects. Isolation ensures that a concept divides its extension into discrete units. I offer two construals (...) of this: isolation as discreteness, i.e. absence of overlap, between the objects to be counted; and isolation as the drawing of conceptual boundaries. Non-arbitrary division concerns the internal structure of the units we count: it makes sure that we cannot go on dividing them arbitrarily and still find more units of the kind. Non-arbitrary division focuses not only on how long something can be divided into parts of the same kind; it also speaks to the way in which these divisions are made, arbitrarily or non-arbitrarily, as well as to the compositional structure of the objects divided. (shrink)

I argue that the direct perception of emotion (DP) is best conceived in terms of event perception, rather than fact perception or object perception. On neither of these two traditional models can the perception of emotion be as direct as its counterpart in ordinary perception; the proponent of DP must either drop the ‘direct’ claim or embrace a part-whole model of emotion perception and its problems. But our best account of how we perceive events directly can be applied to emotion (...) perception without any loss in directness. Not only this but there are good reasons to think that such a conception better respects both empirical evidence and the phenomenology of emotion perception. (shrink)