Quantity

Quantity names the ideal and purely external relation through which the for-itself distinguishes things without changing what they are. It does not belong as a property to the things counted or to the whole they compose; rather, it makes their independence intelligible as a relation by which consciousness apprehends being’s indifference.

Definition and Ontological Status

Quantity is described as “pure exteriority”: its relation does not depend on the particular terms that are added. It is neither a quality of any counted thing nor an attribute of the totality taken as a whole. The number produced by counting belongs to neither. Quantity is thus a relation in-itself, but a negative and external one, detached from the things it relates.

This exteriority gives quantity a paradoxical status. It is “inapprehensible indifference”: it can appear only where being is, yet it is revealed only through a for-itself. The relation is exterior to the things, to the totality, and ultimately to itself. In the book’s account, quantity is a reflection of nothingness cast upon being—not another constituent of being, but a way that the for-itself makes being’s lack of intrinsic relation appear.

Counting Without Altering Things

The example of three men talking opposite the observer shows how counting works. They are first apprehended concretely as a group in conversation; counting them as three does not dissolve or enrich that unity. “Group of three” is no concrete property of the group, just as no individual man is three or is intrinsically a third. Each can occupy the position of third in a count, but none is it in himself.

Counting therefore performs an ideal distinction within a totality already given and capable of disintegration. The count registers the independence of the terms while leaving their concrete arrangement intact. Its result reflects the freedom of the for-itself that counts, rather than a quality added to the men or to their group.

Relation to Space and Categories

Quantity and space are presented as the same type of negation. When “this” and “that” appear as having no relation to the for-itself, which is itself its own relation, space and quantity enter the world as relations between things that are unrelated in themselves. They make the nothingness of relation apprehensible as a relation, without changing the beings between which it appears.

The categories associated with Edmund Husserl—including unity and multiplicity, whole and part, more and less, beside and around, sequence, and numerical order—are likewise ideal ways of mixing things while leaving them wholly intact. They neither enrich nor impoverish their terms. Instead, they register the diverse ways the for-itself’s freedom can disclose being’s indifference.