 Kant claims that since we represent space as containing an infinite number of places within it, our representation of space cannot be conceptual. Why should that be? The idea is that although concepts can have an infinite extension—a potentially infinite number of subordinate concepts under them—they cannot have an infinite intension, an infinite number of representations within them. A concept that is infinite in the latter sense could not be grasped by a finite  mind.[15]  For a concept to have an infinite extension would be for it to have an infinite number of species, i.e. for it to be possible to distinguish an infinite number of sub-types “under” it on the conceptual tree. This does not harm our ability to grasp any concept within the tree, for to grasp any arbitrarily chosen concept within the tree, I merely need to grasp its constituents (those concepts within it), and those would be “above” it on the tree. But our ability to grasp concepts would be affected if they could contain an infinite number of constituents within themselves: if, say, &lt;fish&gt; contained an infinite number of constituents—if there were an infinite number of higher-level conceptual taxa “above” &lt;fish&gt; on the tree—it could not be grasped, and might even lack determinate content. Or at least, to specify its content would take an infinite number of steps.