Reflection is a key concept both for later Kant and for Hegel (see, e.g., Reflection, Apperception, Narrative Identity; More on Contemplation). We have seen that it led Kant to deepen the notion of judgment he had already used in the Critique of Pure Reason, giving more explicit attention to what I have called the process of interpretation, in contrast to the eventual conclusions that had been the exclusive preoccupation of early modern logic. He had already criticized the latter for confusing judgment with predication.
When judgment is identified with simple predication, the process of interpretation entirely disappears. Indeed, both early modern and contemporary formal logic are explicitly concerned with mechanical syntactic manipulation of uninterpreted terms.
Kant’s narrower point in the first Critique had been that only categorical judgments (those having the simple form A is B) can be analyzed as linguistic predications. Against the early modern tradition, Kant pointed out that neither hypothetical judgments (if A then B) nor disjunctive judgments (if A then not-B) can be understood in this way.
Whereas the early modern tradition strongly privileged categorical judgments, taking simple predications straightforwardly as simple assertions, Kant argues that hypothetical and disjunctive judgments have at least equal significance for thought, if not more. Hypothetical and disjunctive judgments are irreducibly inferential, as can be seen from the presence of “if” and “then” in their forms. What Kant suggests about this in the first Critique is that the inferential aspect of judgment is more fundamental than its assertive aspect. Brandom makes the further suggestion that the kinds of inferences Kant is primarily concerned with in this context are informal “material” inferences, which are grounded in the meanings of terms rather than in formal syntax.
With the enhanced concept of reflective judgment developed in the Critique of Judgment, Kant begins to take an even wider range of interpretive processes into account in his view of judgment overall. Reflective judgment is primarily focused on the process of interpretation, though it also reaches conclusions. This makes the contrast between Kantian judgment and judgment in early modern logic even more profound. Early modern logic codifies a “conclusory” notion of judgment grounded in simple assertion, and makes the formal manipulation of such assertions the paradigm for all reasoning. Kantian judgment on the other hand begins as primarily inferential, and comes to emphasize the wider, open-ended, reflective process of interpretation.
The “logic of being” that Hegel presents as a kind of necessary preliminary failure in his Logic is precisely the logic of simple assertion. From any arbitrary assertions, we can deductively generate more assertions that will be consistent with these, and we can classify other assertions according to whether they are consistent with the accepted ones or not. But Hegel is concerned with the possibility of genuine intelligibility and knowledge. Starting only from mere assertions, we can never reach these. The most we can achieve is some kind of relational discrimination between the implications of different assertions, whose meaning is merely assumed.
Kantian reflection is the main theme of Hegel’s “logic of essence”. Hegel’s conclusion is that the ultimate ground of essence is none other than pure reflection, which embodies a kind of reflective infinity of mutually referencing relations, that presupposes no fixed terms. Essence, as a kind of deeper truth of things than the shallow one of logical consistency alone, is not based on “fixed” concepts of the sort that are always assumed in formal logic. Rather, essence for Hegel is grounded in reflection all the way down, which we can pursue as deeply as we like. Socratic inquiry can be seen as a foreshadowing of this.
I see an important parallel to book Lambda of Aristotle’s Metaphysics here. There, the ground of the what-it-is of things is the pure contemplation of thought thinking itself. In other words, the ground of essence is pure reflection, just as Hegel says. The pure actuality or pure entelechy of Aristotle’s first cause is an actuality or entelechy of what Hegel calls pure reflection.
A major difference between Aristotle’s first cause and ourselves, as I read it, is that the purity of the first cause makes it only concerned with essence or deep truth, whereas we rational animals also live in a world of appearances, and therefore also have to deal with these. Because we live in a world of appearances, we humans have a need for judgment that Aristotle’s first cause does not share.
In the “logic of the concept” with which he concludes his Logic, Hegel gives a thoroughly Kantian treatment of judgment, effectively identifying all judgment with reflective judgment in Kant’s sense. If the logic of essence was concerned with the objective determination of essence from pure reflection, the “subjective” logic of the concept is concerned with applying reflection to particular appearances that we encounter in life. This is something we rational animals have to do that Aristotle’s first cause does not.
Pure reflection is a kind of ideal thing that is analytically separable from process, but the kind of reflection that we embodied beings engage in only occurs as part of a concrete process that involves particular appearances and development in time.