 According to Kant, however, we represent space as having an infinite number of constituents, namely  places.[16]  If our representation of space were conceptual, we would be required to represent each of these constituents in order to represent space itself, just as we are required to represent metal in order to represent gold (for &lt;gold&gt; catergorizes gold as a metal). Yet we cannot represent every place within space in an effort to represent space itself. If we can take it as settled that we represent space, and as settled that we represent it as having an infinite number of places within it, then our representation of space presumably cannot be conceptual in Kant’s sense. The third argument in the Metaphysical Exposition seems to imply, as we have seen, that the representation of any place presupposes the representation of space itself. This fourth argument makes a distinct point: if the representation of space itself were to require the representation of each part that we represent space as having, then we could not represent space at all. Since we do represent space, and since we do represent it as having an infinite number of places within it, our representation of space is not conceptual in Kant’s sense. Of course, Kant’s readers may deny one of his apparent assumptions here, viz., that we represent space as infinite. Readers with broadly empiricist sympathies in particular may be skeptical of this assumption.